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Fractals

Complex Geometry, Patterns, and Scaling in Nature and Society

Short Title: Fractals
Publisher: World Scientific, Singapore
ISSN: 0218-348X; 1793-6543/e
Online: https://www.worldscientific.com/loi/fractals
Comments: Journal; No longer indexed
Documents Indexed: 1,687 Publications (1993–2023)
References Indexed: 1,398 Publications with 41,541 References.
all top 5

Latest Issues

31, No. 5 (2023)
31, No. 4 (2023)
31, No. 3 (2023)
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11, No. 4 (2003)
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...and 42 more Volumes
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Authors

36 Abdeljawad, Thabet
34 Xi, Lifeng
26 Băleanu, Dumitru I.
25 Shah, Kamal
25 Wang, Kangle
21 Karaca, Yeliz
20 Chu, Yuming
20 Yu, Boming
19 Sooppy Nisar, Kottakkaran
19 Wang, Kang-Jia
17 Khan, Ilyas
17 Xiao, Boqi
16 Liang, Yongshun
14 Chand, Arya Kumar Bedabrata
14 Gómez-Aguilar, José Francisco
13 Dai, Meifeng
13 Rashid, Saima
13 Wang, Xingyuan
12 Khan, Aziz Ullah
12 Long, Gongbo
12 Su, Weiyi
11 Jafari, Hossein
11 Taqqu, Murad S.
11 Wang, Qin
11 Wu, Min
10 Akgül, Ali
10 Havlin, Shlomo
10 Navascués, María Antonia
10 Sabir, Zulqurnain
10 Wang, Guodong
10 Yao, Kui
9 Boulaaras, Salah Mahmoud
9 Elías-Zúñiga, Alex
9 Giona, Massimiliano
9 Jarad, Fahd
9 Raja, Muhammad Asif Zahoor
9 Riaz, Muhammad Bilal
9 Saeed, Tareq
9 Stanley, H. Eugene
9 ur Rahman, Mati
9 Xue, Yumei
9 Yao, Shaowen
9 Zeb, Anwar
8 Abdel-Aty, Abdel-Haleem
8 Amin, Rohul
8 Arfan, Muhammad
8 Atangana, Abdon
8 Bory Reyes, Juan
8 Du, Tingsong
8 He, Chun-Hui
8 He, Jihuan
8 Inc, Mustafa
8 Martínez-Romero, Oscar
8 Momani, Shaher M.
8 Olvera Trejo, Daniel
8 Palacios-Pineda, Luis Manuel
8 Shi, Feng
8 Strichartz, Robert Stephen
8 Takayasu, Hideki
8 Veneziano, Daniele
7 Ahmad, Hijaz
7 Alqudah, Manar A.
7 Alrabaiah, Hussam
7 Frame, Michael Lee
7 Huang, Chengdai
7 Jahanshahi, Hadi
7 Khalid, Aasma
7 Kumar, Sunil
7 Li, Wenxia
6 Agarwal, Praveen
6 Ahmad, Shabir
6 Brown, Christopher A.
6 Fan, Jiaqi
6 Hammouch, Zakia
6 Herrmann, Hans Jürgen
6 Jia, Qi
6 Jiang, Kan
6 Khan, Hasib
6 Khater, Mostafa M. A.
6 Kumam, Poom
6 Lei, Lei
6 Liu, Jiangen
6 Ma, Ying
6 Rochon, Dominic
6 Salahshour, Soheil
6 Shah, Zahir
6 Wang, Bo
6 Wang, Xiaoqian
6 Yang, Jiaojiao
6 Ye, Qianqian
6 Yusuf, Abdullahi A.
6 Zeng, Cheng
5 Abdalla, Mohamed
5 Ahmadian, Ali
5 Alassafi, Madini Obad
5 Alshomrani, Ali Saleh
5 Alzaid, Sara Salem
5 Buldyrev, Sergey V.
5 Cao, Jinde
5 Chauhan, Ram P.
...and 2,756 more Authors
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Fields

744 Measure and integration (28-XX)
264 Real functions (26-XX)
203 Ordinary differential equations (34-XX)
200 Dynamical systems and ergodic theory (37-XX)
191 Partial differential equations (35-XX)
182 Biology and other natural sciences (92-XX)
173 Numerical analysis (65-XX)
130 Probability theory and stochastic processes (60-XX)
129 Fluid mechanics (76-XX)
97 Computer science (68-XX)
95 Statistical mechanics, structure of matter (82-XX)
72 Combinatorics (05-XX)
64 Information and communication theory, circuits (94-XX)
59 Statistics (62-XX)
56 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
52 Mechanics of deformable solids (74-XX)
49 Geophysics (86-XX)
48 Operator theory (47-XX)
43 Number theory (11-XX)
40 Systems theory; control (93-XX)
34 Harmonic analysis on Euclidean spaces (42-XX)
32 Approximations and expansions (41-XX)
31 General and overarching topics; collections (00-XX)
31 Operations research, mathematical programming (90-XX)
27 Classical thermodynamics, heat transfer (80-XX)
26 Optics, electromagnetic theory (78-XX)
22 Difference and functional equations (39-XX)
22 Integral equations (45-XX)
18 Mechanics of particles and systems (70-XX)
16 Special functions (33-XX)
15 Functions of a complex variable (30-XX)
13 Integral transforms, operational calculus (44-XX)
13 Quantum theory (81-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
9 Convex and discrete geometry (52-XX)
9 General topology (54-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Functional analysis (46-XX)
5 Astronomy and astrophysics (85-XX)
3 Mathematical logic and foundations (03-XX)
3 Nonassociative rings and algebras (17-XX)
3 Potential theory (31-XX)
3 Sequences, series, summability (40-XX)
3 Geometry (51-XX)
3 Differential geometry (53-XX)
3 Relativity and gravitational theory (83-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

1,054 Publications have been cited 6,414 times in 3,888 Documents Cited by ▼ Year ▼
Estimators for long-range dependence: An empirical study. Zbl 0864.62061
Taqqu, Murad S.; Teverovsky, Vadim; Willinger, Walter
118
1995
The relationship between fractional calculus and fractals. Zbl 0877.28009
Tatom, Frank B.
103
1995
Distributed order fractional sub-diffusion. Zbl 1083.60066
Naber, Mark
94
2004
Calculus on fractal subsets of real line. I: Formulation. Zbl 1173.28005
Parvate, Abhay; Gangal, A. D.
60
2009
Bivariate fractal interpolation functions on grids. Zbl 1088.28502
Dalla, Leoni
59
2002
The study of bivariate fractal interpolation functions and creation of fractal interpolated surfaces. Zbl 0908.65005
Xie, Heping; Sun, Hongquan
51
1997
Average geodesic distance of Sierpinski gasket and Sierpinski networks. Zbl 1375.28020
Wang, Songjing; Yu, Zhouyu; Xi, Lifeng
48
2017
Hidden variable bivariate fractal interpolation surfaces. Zbl 1046.28004
Chand, A. K. B.; Kapoor, G. P.
46
2003
Certain integral inequalities considering generalized \(m\)-convexity on fractal sets and their applications. Zbl 1434.28018
Du, Tingsong; Wang, Hao; Khan, Muhammad Adil; Zhang, Yao
42
2019
On Hadamard fractional calculus. Zbl 1371.26009
Ma, Li; Li, Changpin
42
2017
On the Riemann-Liouville fractional calculus and some recent applications. Zbl 0868.26004
Nonnenmacher, Theo F.; Metzler, Ralf
41
1995
First-order network coherence and eigentime identity on the weighted Cayley networks. Zbl 1421.05083
Dai, Meifeng; Wang, Xiaoqian; Zong, Yue; Zou, Jiahui; Chen, Yufei; Su, Weiyi
41
2017
Simulation methods for linear fractional stable motion and FARIMA using the fast Fourier transform. Zbl 1083.65005
Stoev, Stilian; Taqqu, Murad S.
38
2004
Fractal bases of \(L_p\) spaces. Zbl 1251.28009
Navascués, M. A.
37
2012
On fractional relaxation. Zbl 1140.82315
Hilfer, R.
37
2003
Cooperative strategies in formation of complex bacterial patterns. Zbl 0869.92002
Ben-Jacob, Eshel; Shochet, Ofer; Cohen, Inon; Tenenbaum, Adam; Czirók, Andras; Vicsek, Tamas
37
1995
A generalized Mandelbrot set for bicomplex numbers. Zbl 0969.37021
Rochon, Dominic
35
2000
On the weighted fractional operators of a function with respect to another function. Zbl 1489.26006
Jarad, F.; Abdeljawad, T.; Shah, K.
34
2020
Calculus on fractal subsets of real line. II: Conjugacy with ordinary calculus. Zbl 1252.28005
Parvate, Abhay; Gangal, A. D.
33
2011
Calculus on fractal curves in \(\mathbb{R}^{n}\). Zbl 1217.28014
Parvate, Abhay; Satin, Seema; Gangal, A. D.
32
2011
Hidden variable vector valued fractal interpolation functions. Zbl 1100.41011
Bouboulis, P.; Dalla, L.
32
2005
Dimensions of self-affine fractals and multifractals generated by upper-triangular matrices. Zbl 1137.28302
Falconer, Kenneth; Miao, Jun
32
2007
Newton’s-type integral inequalities via local fractional integrals. Zbl 1434.26052
Iftikhar, Sabah; Kumam, Poom; Erden, Samet
32
2020
Multifractal cascade dynamics and turbulent intermittency. Zbl 0927.76044
Schertzer, D.; Lovejoy, S.; Schmitt, F.; Chigirinskaya, Y.; Marsan, D.
32
1997
A fractal valued random iteration algorithm and fractal hierarchy. Zbl 1304.28004
Barnsley, Michael; Hutchinson, John; Stenflo, Örjan
31
2005
Some further extensions considering discrete proportional fractional operators. Zbl 1495.26021
Rashid, Saima; Sultana, Sobia; Karaca, Yeliz; Khalid, Aasma; Chu, Yu-Ming
30
2022
Topological structure of self-similar sets. Zbl 1075.28005
Luo, Jun; Rao, Hui; Tan, Bo
30
2002
Average geodesic distance of Sierpinski carpet. Zbl 1432.28015
Zhao, Luming; Wang, Songjing; Xi, Lifeng
29
2017
Analysis of fractional differential equations with multi-orders. Zbl 1176.34008
Deng, Weihua; Li, Changpin; Guo, Qian
29
2007
Box dimensions of {\(\alpha\)}-fractal functions. Zbl 1354.28002
Akhtar, Md. Nasim; Prasad, M. Guru Prem; Navascués, M. A.
28
2016
Piecewise optimal fractional reproducing kernel solution and convergence analysis for the Atangana-Baleanu-Caputo model of the Lienard’s equation. Zbl 07468589
Momani, Shaher; Arqub, Omar Abu; Maayah, Banan
28
2020
The reproducing kernel algorithm for numerical solution of Van der Pol damping model in view of the Atangana-Baleanu fractional approach. Zbl 07468592
Momani, Shaher; Maayah, Banan; Arqub, Omar Abu
28
2020
\(1/f\) noise in a traffic model. Zbl 0906.90072
Takayasu, Misako; Takayasu, Hideki
28
1993
On the dimension of self-similar sets. Zbl 1088.28504
Simon, Károly; Solomyak, Boris
27
2002
Numerical solution of traveling waves in chemical kinetics: time-fractional fishers equations. Zbl 07507535
Wang, Fuzhang; Khan, Muhammad Nawaz; Ahmad, Imtiaz; Ahmad, Hijaz; Abu-Zinadah, Hanaa; Chu, Yu-Ming
26
2022
Parameter-varying artificial potential field control of virtual coupling system with nonlinear dynamics. Zbl 1485.93023
Cao, Yuan; Wen, Jiakun; Hobiny, Aatef; Li, Peng; Wen, Tao
25
2022
Exact solutions for a class of fractal time random walks. Zbl 0881.60066
Hilfer, R.
25
1995
Analysis of fractal-fractional malaria transmission model. Zbl 1482.92097
Gómez-Aguilar, J. F.; Córdova-Fraga, T.; Abdeljawad, Thabet; Khan, Aziz; Khan, Hasib
25
2020
A type of fractal interpolation functions and their fractional calculus. Zbl 1351.28016
Liang, Yong-Shun; Zhang, Qi
24
2016
Vibration spectra of finitely ramifield, symmetric fractals. Zbl 1160.28302
Bajorin, N.; Chen, T.; Dagan, A.; Emmons, C.; Hussein, M.; Khalil, M.; Mody, P.; Steinhurst, B.; Teplyaev, A.
24
2008
Foundations of fractional dynamics. Zbl 0870.58041
Hilfer, R.
24
1995
Variational principle and approximate solution for the generalized Burgers-Huxley equation with fractal derivative. Zbl 1482.35008
Wang, Kang-Jia
24
2021
Fractal oscillation and its frequency-amplitude property. Zbl 1489.34014
He, Ji-Huan; Kou, Shuai-Jia; He, Chun-Hui; Zhang, Zuo-Wei; Gepreel, Khaled A.
24
2021
Dimension analysis of continuous functions with unbounded variation. Zbl 1371.28012
Wang, Jun; Yao, Kui
24
2017
Variational principle and approximate solution for the fractal generalized Benjamin-Bona-Mahony-Burgers equation in fluid mechanics. Zbl 1482.35009
Wang, Kang-Jia; Wang, Guo-Dong
22
2021
Two-scale fractal theory for the population dynamics. Zbl 1481.92098
Anjum, Naveed; He, Chun-Hui; He, Ji-Huan
22
2021
Modifications at large distances from fractional and fractal arguments. Zbl 1196.28014
El-Nabulsi, Rami Ahmad
21
2010
The calculus of bivariate fractal interpolation surfaces. Zbl 1486.28006
Chandra, Subhash; Abbas, Syed
21
2021
Average distance of self-similar fractal trees. Zbl 1432.28007
Li, Tingting; Jiang, Kan; Xi, Lifeng
20
2018
Spectral analysis for weighted iterated triangulations of graphs. Zbl 1432.35058
Chen, Yufei; Dai, Meifeng; Wang, Xiaoqian; Sun, Yu; Su, Weiyi
20
2018
Normal families of bicomplex holomorphic functions. Zbl 1230.30032
Charak, K. S.; Rochon, D.; Sharma, N.
20
2009
The multifractal dimension functions of homogeneous Moran measure. Zbl 1165.28005
Xiao, Jiaqing; Wu, Min
20
2008
A new perspective to study the third-order modified KdV equation on fractal set. Zbl 1445.28012
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Cui, Ping
20
2020
New generalizations in the sense of the weighted non-singular fractional integral operator. Zbl 1489.26008
Rashid, Saima; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-Ming
20
2020
Iterative method applied to the fractional nonlinear systems arising in thermoelasticity with Mittag-Leffler kernel. Zbl 07468622
Gao, Wei; Veeresha, P.; Prakasha, D. G.; Senel, Bilgin; Baskonus, Haci Mehmet
20
2020
A new nonlinear fractal interpolation function. Zbl 1432.41001
Ri, Songil
19
2017
On analysis of fractional order mathematical model of hepatitis B using Atangana-Baleanu Caputo (ABC) derivative. Zbl 1486.92219
Din, Anwarud; Li, Yongjin; Khan, Faiz Muhammad; Khan, Zia Ullah; Liu, Peijiang
19
2022
Analysis of \(\mathbb{C}\)-plane fractal images from \(z \leftarrow z^{\alpha} + c\) for \((\alpha < 0)\). Zbl 1211.37059
Wang, Xingyuan; Liu, Xiangdong; Zhu, Weiyong; Gu, Shusheng
19
2000
A remark on Wang’s fractal variational principle. Zbl 1434.35267
Wang, Kang-Le; He, Chun-Hui
19
2019
The Hosoya index of graphs formed by a fractal graph. Zbl 1434.05039
Liu, Jia-bao; Zhao, Jing; Min, Jie; Cao, Jinde
19
2019
Nonextensive thermostatics and fractals. Zbl 0870.58098
Tsallis, Constantino
19
1995
Analysis of mixed Weyl-Marchaud fractional derivative and box dimensions. Zbl 1491.28003
Chandra, Subhash; Abbas, Syed
19
2021
Variational principles for fractal Whitham-Broer-Kaup equations in shallow water. Zbl 1498.76012
Wang, Kang-Jia; Wang, Kang-Le
19
2021
Fractal image compression. Zbl 0903.68211
Fisher, Yuval
19
1994
Path properties of the linear multifractional stable motion. Zbl 1304.28010
Stoev, Stilian; Taqqu, Murad S.
19
2005
Numerical solution of distributed order integro-differential equations. Zbl 1505.65324
Zhang, Anqi; Ganji, Roghayeh Moallem; Jafari, Hossein; Ncube, Mahluli Naisbitt; Agamalieva, Latifa
19
2022
Analysis on fractals in fuzzy metric spaces. Zbl 1231.26030
Easwaramoorthy, D.; Uthayakumar, R.
18
2011
Some local fractional integral inequalities for generalized preinvex functions and applications to numerical quadrature. Zbl 1434.26015
Sun, Wenbing
18
2019
Fractal geometry of financial time series. Zbl 0869.62073
Evertsz, Carl J. G.
18
1995
An analysis of U.S. stock price behavior using wavelets. Zbl 0877.90027
Ramsey, James B.; Usikov, Daniel; Zaslavsky, George M.
18
1995
A technique in the topology of connected self-similar tiles. Zbl 1304.28009
Ngai, Sze-Man; Tang, Tai-Man
18
2004
Lipschitz equivalence of McMullen sets. Zbl 1290.28012
Li, Boming; Li, Wenxia; Miao, Jun Jie
17
2013
Multifractal cross-correlation analysis based on statistical moments. Zbl 1272.28013
Wang, Jing; Shang, Pengjian; Ge, Weijie
17
2012
Central limit theorem for the log-regression wavelet estimation of the memory parameter in the Gaussian semi-parametric context. Zbl 1141.62073
Moulines, E.; Roueff, F.; Taqqu, Murad S.
17
2007
Eccentric distance sum of Sierpiński gasket and Sierpiński network. Zbl 1433.28009
Chen, Jin; He, Long; Wang, Qin
17
2019
Progress on estimation of fractal dimensions of fractional calculus of continuous functions. Zbl 1434.26010
Liang, Yong-Shun
17
2019
Fractal approaches in signal processing. Zbl 0867.94005
Lévy-Véhel, Jacques
17
1995
A fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media. Zbl 1500.76091
Xiao, Boqi; Huang, Qiwen; Chen, Hanxin; Chen, Xubing; Long, Gongbo
17
2021
Low frequency property of a fractal vibration model for a concrete beam. Zbl 1482.74083
He, Chun-Hui; Liu, Chao; He, Ji-Huan; Gepreel, Khaled A.
17
2021
K-iterated function system. Zbl 1190.28004
Sahu, D. R.; Chakraborty, Anindita; Dubey, R. P.
17
2010
Cantor-type sets in hyperbolic numbers. Zbl 1357.28008
Balankin, A. S.; Bory-Reyes, J.; Luna-Elizarrarás, M. E.; Shapiro, M.
17
2016
Information fractal dimension of mass function. Zbl 1512.28003
Qiang, Chenhui; Deng, Yong; Cheong, Kang Hao
17
2022
On a generalized Fatou-Julia theorem in multicomplex spaces. Zbl 1177.30068
Garant-Pelletier, V.; Rochon, D.
16
2009
Image compression using affine fractal interpolation on rectangular lattices. Zbl 1158.68051
Drakopoulos, V.; Bouboulis, P.; Theodoridis, S.
16
2006
Comparison theorems for Caputo-Hadamard fractional differential equations. Zbl 1433.34012
Ma, Li
16
2019
Existence results and stability criteria for ABC-fuzzy-Volterra integro-differential equation. Zbl 1482.45005
Khan, Hasib; Gomez-Aguilar, J. F.; Abdeljawad, Thabet; Khan, Aziz
16
2020
Fractal N/MEMS: from pull-in instability to pull-in stability. Zbl 1481.78002
Tian, Dan; Ain, Qura-Tul; Anjum, Naveed; He, Chun-Hui; Cheng, Bin
16
2021
A novel perspective for the fractal Schrödinger equation. Zbl 1482.35011
Wang, Kang-Le
16
2021
Analysis, synthesis, and estimation of fractal-rate stochastic point processes. Zbl 0907.62093
Thurner, Stefan; Lowen, Steven B.; Feurstein, Markus C.; Heneghan, Conor; Feichtinger, Hans G.; Teich, Malvin C.
16
1997
Asymptotic formula of eccentric distance sum for Vicsek network. Zbl 1433.28036
Ye, Qianqian; He, Long; Wang, Qin; Xi, Lifeng
15
2018
A fractal model for water flow through unsaturated porous rocks. Zbl 1434.74085
Xiao, Boqi; Zhang, Xian; Wang, Wei; Long, Gongbo; Chen, Hanxin; Kang, Hao; Ren, Wen
15
2018
Natural cubic spline coalescence hidden variable fractal interpolation surfaces. Zbl 1250.28004
Chand, A. K. B.
15
2012
Exact traveling-wave solutions for one-dimensional modified Korteweg-de Vries equation defined on Cantor sets. Zbl 1433.35445
Gao, Feng; Yang, Xiao-Jun; Ju, Yang
15
2019
Explicit construction of operator scaling Gaussian random fields. Zbl 1233.60027
Clausel, M.; Vedel, B.
15
2011
The fractional complex transform: a novel approach to the time-fractional Schrödinger equation. Zbl 1494.35153
Ain, Qura Tul; He, Ji-Huan; Anjum, Naveed; Ali, Muhammad
15
2020
Information volume fractal dimension. Zbl 1491.94029
Gao, Qiuya; Wen, Tao; Deng, Yong
15
2021
The effects of the Riemann-Liouville fractional integral on the box dimension of fractal graphs of Hölder continuous functions. Zbl 1434.26017
Wu, Junru
15
2020
Estimation and simulation of fractal stochastic point processes. Zbl 0881.60044
Lowen, Steven B.; Teich, Malvin C.
15
1995
On the Bullen-type inequalities via generalized fractional integrals and their applications. Zbl 1484.26023
Du, Tingsong; Luo, Chunyan; Cao, Zhijie
15
2021
A fractal-Monte Carlo approach to model oil and water two-phase seepage in low-permeability reservoirs with rough surfaces. Zbl 1500.76088
Su, Haibo; Zhang, Yidan; Xiao, Boqi; Huang, Xiaoming; Yu, Boming
15
2021
On fractal-fractional waterborne disease model: a study on theoretical and numerical aspects of solutions via simulations. Zbl 1520.92068
Khan, Hasib; Alzabut, Jehad; Shah, Anwar; He, Zai-Yin; Etemad, Sina; Rezapour, Shahram; Zada, Akbar
14
2023
Investigation of the time fractional generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation with single-power law nonlinearity. Zbl 1529.35397
Liu, Jian-Gen; Zhang, Yu-Feng; Wang, Jing-Jing
7
2023
New results on continuity by order of derivative for conformable parabolic equations. Zbl 1521.35193
Tuan, Nguyen Huy; Nguyen, Van Tien; O&rsquo;Regan, Donal; Can, Nguyen Huu; Nguyen, Van Thinh
6
2023
\(n\)-soliton, breather, lump solutions and diverse traveling wave solutions of the fractional \((2+1)\)-Dimensional Boussinesq equation. Zbl 1521.35142
Wang, Kang-Jia; Liu, Jing-Hua; Si, Jing; Shi, Feng; Wang, Guo-Dong
4
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Dynamics in a fractional order predator-prey model Involving Michaelis-Menten-type functional response and both unequal delays. Zbl 1522.34109
Li, Peiluan; Gao, Rong; Xu, Changjin; Lu, Yuejing; Shang, Youlin
4
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Fractal dimension variation of continuous functions under certain operations. Zbl 1532.28018
Yu, Binyan; Liang, Yongshun
4
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Simpson-like inequalities for twice differentiable \((s, P)\)-convex mappings involving with AB-fractional integrals and their applications. Zbl 1532.26047
Yuan, Xiaoman; Xu, Lei; Du, Tingsong
3
2023
Application of Hosoya polynomial to solve a class of time-fractional diffusion equations. Zbl 1521.35187
Jafari, Hossein; Ganji, Roghayeh Moallem; Narsale, Sonali Mandar; Kgarose, Maluti; Nguyen, Van Thinh
3
2023
A novel collective algorithm using cubic uniform spline and finite difference approaches to solving fractional diffusion singular wave model through damping-reaction forces. Zbl 07726771
Yao, Shao-Wen; Arqub, Omar Abu; Tayebi, Soumia; Osman, M. S.; Mahmoud, W.; Inc, Mustafa; Alsulami, Hamed
3
2023
The Simpson-type integral inequalities involving twice local fractional differentiable generalized \((s, P)\)-convexity and their applications. Zbl 1532.26050
Zhou, Yunxiu; Du, Tingsong
3
2023
New fractal soliton solutions for the coupled fractional Klein-Gordon equation with \(\beta\)-fractional derivative. Zbl 1518.35651
Wang, Kangle
3
2023
Construction of fractal soliton solutions for the fractional evolution equations with conformable derivative. Zbl 1521.35162
Wang, Kangle
3
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The dynamics of HIV/AIDS model with fractal-fractional Caputo derivative. Zbl 1520.34049
Ullah, Saif; Altanji, Mohamed; Khan, Muhammad Altaf; Alshaheri, Ahmed; Sumelka, Wojciech
3
2023
Totally new soliton phenomena in the fractional Zoomeron model for shallow water. Zbl 1521.35164
Wang, Kang-Le
2
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Semi-analytical view of time-fractional PDEs with proportional delays pertaining to index and Mittag-Leffler memory interacting with hybrid transforms. Zbl 1522.35563
Shi, Lei; Rashid, Saima; Sultana, Sobia; Khalid, Aasma; Agarwal, Praveen; Osman, Mohamed S.
2
2023
A novel numerical method for solving fuzzy variable-order differential equations with Mittag-Leffler kernels. Zbl 07726765
Jafari, Hossein; Ganji, Roghayeh Moallem; Ganji, Davood Domiri; Hammouch, Zakia; Gasimov, Yusif S.
2
2023
Investigation of financial bubble mathematical model under fractal-fractional Caputo derivative. Zbl 1521.91346
Li, Bo; Zhang, Tongxin; Zhang, Chao
2
2023
Milne-type fractal integral inequalities for generalized \(m\)-convex mapping. Zbl 1532.26017
al-Sa&rsquo;di, Sa&rsquo;ud; Bibi, Maria; Seol, Youngsoo; Muddassar, Muhammad
2
2023
Existence and stability results for coupled system of fractional differential equations Involving AB-Caputo derivative. Zbl 1520.34006
Mehmood, Nayyar; Abbas, Ahsan; Akgül, Ali; Abdeljawad, Thabet; Alqudah, Manar A.
2
2023
Adapted homotopy perturbation method with Shehu transform for solving conformable fractional nonlinear partial differential equations. Zbl 1518.35634
Liaqat, Muhammad Imran; Khan, Aziz; Alqudah, Manar A.; Abdeljawad, Thabet
2
2023
Numerical analysis of some fractional order differential equations via Legendre spectral method. Zbl 1520.65051
Khan, Aziz; Naz, Hafsa; Sarwar, Muhammad; Shah, Kamal; Alqudah, Manar A.; Abdeljawad, Thabet
1
2023
Non-differentiable exact solutions of the local fractional Zakharov-Kuznetsov equation on the Cantor sets. Zbl 1534.35434
Wang, Kang-Jia; Shi, Feng; Si, Jing; Liu, Jing-Hua; Wang, Guo-Dong
1
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Chaotic behavior of financial dynamical system with generalized fractional operator. Zbl 1529.91073
Alzaid, Sara S.; Kumar, Ajay; Kumar, Sunil; Alkahtani, Badr Saad T.
1
2023
Robust implicit difference approach for the time-fractional Kuramoto-Sivashinsky equation with the non-smooth solution. Zbl 07726763
Han, Xiang-Lin; Guo, Tao; Nikan, Omid; Avazzadeh, Zakieh
1
2023
On efficient fractional Caputo-type simultaneous scheme for finding all roots of polynomial equations with biomedical engineering applications. Zbl 07726775
Shams, Mudassir; Kausar, Nasreen; Samaniego, Cuauhtémoc; Agarwal, Praveen; Ahmed, Shams Forruque; Momani, Shaher
1
2023
Variational principle and solitary wave of the fractal fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave model. Zbl 1529.35410
Sun, Jianshe
1
2023
A new fractal modified Benjamin-Bona-Mahony equation: its generalized variational principle and abundant exact solutions. Zbl 1529.35452
Wang, Kang-Jia; Si, Jing; Wang, Guo Dong; Shi, Feng
1
2023
Stress-dependent models for permeability and porosity of fractured rock based on fractal theory. Zbl 07726806
Miao, Tongjun; Chen, Aimin; Li, Zun; Liu, Daping; Yu, Boming
1
2023
Fractional order geminivirus impression in Capsicum annuum model with Mittag-Leffler kernel. Zbl 1533.92260
Sawangtong, Panumart; Logeswari, K.; Ravichandran, C.; Nisar, Kottakkaran Sooppy; Vijayaraj, V.
1
2023
Analysis of the conformable temporal-fractional Swift-Hohenberg equation using a novel computational technique. Zbl 1534.35426
Khan, Aziz; Liaqat, Muhammad Imran; Alqudah, Manar A.; Abdeljawad, Thabet
1
2023
Simulations and analysis of COVID-19 as a fractional model with different kernels. Zbl 1520.92083
Yao, Shao-Wen; Farman, Muhammad; Akgül, Ali; Nisar, Kottakkaran Sooppy; Amin, Maryam; Saleem, Muhammad Umer; Inc, Mustafa
1
2023
Construction of new affine and non-affine fractal interpolation functions through the Weyl-Marchaud derivative. Zbl 1532.28015
Priyanka, T. M. C.; Gowrisankar, A.
1
2023
Spectral analysis for weighted level-4 Sierpiński graphs and its applications. Zbl 1519.05110
Zhu, Xingchao; Zhu, Zhiyong
1
2023
Local geometry of self-similar sets: typical balls, tangent measures and asymptotic spectra. Zbl 1532.28012
Morán, Manuel; Llorente, Marta; Mera, María Eugenia
1
2023
New solitary wave solutions for the fractional Jaulent-Miodek hierarchy model. Zbl 1529.35453
Wei, Chun Fu
1
2023
Numerical assessment of the brain tumor growth model via Fibonacci and Haar wavelets. Zbl 1519.92047
Nayied, Naied Ahmad; Shah, Firdous Ahmad; Nisar, Kottakkaran Sooppy; Khanday, Mukhtar Ahmad; Habeeb, Saima
1
2023
Coupled fractional Wigner distribution with applications to LFM signals. Zbl 1517.94031
Teali, Aajaz A.; Shah, Firdous A.; Tantary, Azhar Y.; Nisar, Kottakkaran S.
1
2023
Existence results for multi-term fractional differential equations with nonlocal boundary conditions involving Atangana-Baleanu derivative. Zbl 1534.34006
Abbas, Ahsan; Mehmood, Nayyar; Akgül, Ali; Abdeljawad, Thabet; Alqudah, Manar A.
1
2023
Numerical analysis of fractional-order Emden-Fowler equations using modified variational iteration method. Zbl 1518.35655
Zhang, Ri; Shah, Nehad Ali; El-Zahar, Essam R.; Akgül, Ali; Chung, Jae Dong
1
2023
Characterizations of the inversion formula of the continuous Bessel wavelet transform of distributions in \(H_\mu^\prime(\mathbb{R}^+)\). Zbl 1527.46027
Maurya, Jay Singh; Upadhyay, Santosh Kumar
1
2023
Existence and solution of third-order integro-differential equations via Haar wavelet method. Zbl 1522.65251
Amin, Rohul; Shah, Kamal; Awais, Muhammad; Mahariq, Ibrahim; Nisar, Kottakkaran Sooppy; Sumelka, Wojciech
1
2023
Extension of Haar wavelet techniques for Mittag-Leffler type fractional Fredholm integro-differential equations. Zbl 1519.65062
Reunsumrit, Jiraporn; Shah, Kamal; Khan, Aziz; Amin, Rohul; Ahmad, Israr; Sitthiwirattham, Thanin
1
2023
Some further extensions considering discrete proportional fractional operators. Zbl 1495.26021
Rashid, Saima; Sultana, Sobia; Karaca, Yeliz; Khalid, Aasma; Chu, Yu-Ming
30
2022
Numerical solution of traveling waves in chemical kinetics: time-fractional fishers equations. Zbl 07507535
Wang, Fuzhang; Khan, Muhammad Nawaz; Ahmad, Imtiaz; Ahmad, Hijaz; Abu-Zinadah, Hanaa; Chu, Yu-Ming
26
2022
Parameter-varying artificial potential field control of virtual coupling system with nonlinear dynamics. Zbl 1485.93023
Cao, Yuan; Wen, Jiakun; Hobiny, Aatef; Li, Peng; Wen, Tao
25
2022
On analysis of fractional order mathematical model of hepatitis B using Atangana-Baleanu Caputo (ABC) derivative. Zbl 1486.92219
Din, Anwarud; Li, Yongjin; Khan, Faiz Muhammad; Khan, Zia Ullah; Liu, Peijiang
19
2022
Numerical solution of distributed order integro-differential equations. Zbl 1505.65324
Zhang, Anqi; Ganji, Roghayeh Moallem; Jafari, Hossein; Ncube, Mahluli Naisbitt; Agamalieva, Latifa
19
2022
Information fractal dimension of mass function. Zbl 1512.28003
Qiang, Chenhui; Deng, Yong; Cheong, Kang Hao
17
2022
Novel approach for fractal nonlinear oscillators with discontinuities by Fourier series. Zbl 1502.34026
Wang, Kang-Le
14
2022
New developments in weighted \(n\)-fold type inequalities via discrete generalized \(\hat{\hbar}\)-proportional fractional operators. Zbl 1537.26005
Rashid, Saima; Abouelmagd, Elbaz I.; Sultana, Sobia; Chu, Yu-Ming
11
2022
Some recent developments on dynamical \(\hbar\)-discrete fractional type inequalities in the frame of nonsingular and nonlocal kernels. Zbl 1487.39011
Rashid, Saima; Abouelmagd, Elbaz I.; Khalid, Aasma; Farooq, Fozia Bashir; Chu, Yu-Ming
11
2022
Caputo type fractional operator applied to hepatitis B system. Zbl 1492.34051
Din, Anwarud; Li, Yongjin; Yusuf, Abdullahi; Ali, Aliyu Isa
10
2022
Fractal variational principles for two different types of fractal plasma models with variable coefficients. Zbl 1493.35133
Wang, Kang-Le; Wang, Hao
10
2022
On an extension of the operator with Mittag-Leffler kernel. Zbl 1514.34008
Al-Refai, Mohammed; Baleanu, Dumitru
10
2022
A novel perspective to the local fractional bidirectional wave model on Cantor sets. Zbl 1502.78013
Wang, Kangle
10
2022
Fractal solitary wave solutions for fractal nonlinear dispersive Boussinesq-like models. Zbl 1504.35390
Wang, Kangle
9
2022
Mathematical modeling and stability analysis of the dynamics of monkeypox via fractional-calculus. Zbl 1516.34078
Alharbi, Rabab; Jan, Rashid; Alyobi, Sultan; Altayeb, Yousif; Khan, Ziad
8
2022
Exact traveling wave solution for the fractal Riemann wave model Arising in ocean science. Zbl 1501.35118
Wang, Kangle
8
2022
Hadamard fractional calculus on time scales. Zbl 1515.26032
Song, Ting-Ting; Wu, Guo-Cheng; Wei, Jia-Li
8
2022
A hybrid approach for synchronizing between two reaction-diffusion systems of integer- and fractional-order applied on certain chemical models. Zbl 1498.93696
Wang, Bo; Ouannas, Adel; Karaca, Yeliz; Xia, Wei-Feng; Jahanshahi, Hadi; Alkhateeb, Abdulhameed F.; Nour, Majid
8
2022
Jensen-Mercer inequality and related results in the fractal sense with applications. Zbl 1495.26026
Butt, Saad Ihsan; Yousaf, Saba; Ahmad, Hijaz; Nofal, Taher A.
7
2022
Abundant exact traveling wave solutions to the local fractional \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation. Zbl 1491.35106
Wang, Kang-Jia; Wang, Guo-Dong; Shi, Feng
7
2022
Exact traveling wave solutions for the local fractional Kadomtsov-Petviashvili-Benjamin-Bona-Mahony model by variational perspective. Zbl 1507.35333
Wang, Kangle
7
2022
A novel variational approach to fractal Swift-Hohenberg model arising in fluid dynamics. Zbl 1501.35008
Wang, Kang-Le
7
2022
Impact of the same degenerate additive noise on a coupled system of fractional space diffusion equations. Zbl 1491.60105
Mohammed, Wael W.; Iqbal, Naveed
6
2022
Existence results for a coupled system of nonlinear fractional \(q\)-integro-difference equations with \(q\)-integral-coupled boundary conditions. Zbl 1485.39008
Alsaedi, Ahmed; Al-Hutami, Hana; Ahmad, Bashir; Agarwal, Ravi P.
6
2022
A novel permeability model in damaged tree-like bifurcating networks considering the influence of roughness. Zbl 1496.28008
Liu, Zhenjie; Gao, Jun; Xiao, Boqi; Cao, Jiyin; Fang, Jing; Liang, Mingchao; Long, Gongbo
6
2022
A fractal modification of the unsteady Korteweg-de Vries model and its generalized fractal variational principle and diverse exact solutions. Zbl 1509.35247
Wang, Kang-Jia
6
2022
An improvement of the power-mean integral inequality in the frame of fractal space and certain related midpoint-type integral inequalities. Zbl 1502.26028
Yu, Shuhong; Mohammed, Pshtiwan Othman; Xu, Lei; Du, Tingsong
6
2022
A modified frequency-amplitude formulation for fractal vibration systems. Zbl 1507.74163
He, Chun-Hui; Liu, Chao
6
2022
Investigation of integral boundary value problem with impulsive behavior involving non-singular derivative. Zbl 1515.34035
Shah, Kamal; Abdeljawad, Thabet; Ali, Arshad; Alqudah, Manar A.
6
2022
Computational study of fractional-order vector borne diseases model. Zbl 07578009
Bedi, Pallavi; Khan, Aziz; Kumar, Anoop; Abdeljawad, Thabet
6
2022
Computational analysis of fractional order imperfect testing infection disease model. Zbl 1504.34114
Khan, Zareen A.; Khan, Aziz; Abdeljawad, Thabet; Khan, Hasib
6
2022
Bounded variation on the Sierpiński gasket. Zbl 1522.28012
Verma, S.; Sahu, A.
6
2022
Analyses of some structural properties on a class of hierarchical scale-free networks. Zbl 1502.90033
Liu, Jia-Bao; Bao, Yan; Zheng, Wu-Ting
6
2022
Generalized variational principles and new abundant wave structures of the fractal coupled Boussinesq equation. Zbl 1501.35007
Wang, Kang-Jia; Wang, Guo-Dong; Shi, Feng; Zhu, Hong-Wei
6
2022
Chaotic behavior of Bhalekar-Gejji dynamical system under Atangana-Baleanu fractal fractional operator. Zbl 1493.37091
Ahmad, Shabir; Ullah, Aman; Akgül, Ali; Abdeljawad, Thabet
5
2022
Analysis of time-fractional Kawahara equation under Mittag-Leffler power law. Zbl 1485.35403
Rahman, Mati Ur; Arfan, Muhammad; Deebani, Wejdan; Kumam, Poom; Shah, Zahir
5
2022
Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems. Zbl 07490674
Abdelhakem, Mohamed; Abdelhamied, Dina; Alshehri, Maryam G.; El-Kady, Mamdouh
5
2022
Dynamics of crime transmission using fractional-order differential equations. Zbl 1502.34054
Bansal, Komal; Arora, Sugandha; Pritam, Kocherlakota Satya; Mathur, Trilok; Agarwal, Shivi
5
2022
Research on the nonlinear vibration of carbon nanotube embedded in fractal medium. Zbl 1496.74069
Wang, Kang-Jia
5
2022
On the generalized weighted Caputo-type differential operator. Zbl 1495.26011
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Geng, Lu-Lu
5
2022
Fractal Hadamard-Mercer-type inequalities with applications. Zbl 1494.26037
Butt, Saad Ihsan; Yousaf, Saba; Younas, Muhammad; Ahmad, Hijaz; Yao, Shao-Wen
5
2022
Bäcklund transformation and diverse exact explicit solutions of the fractal combined KdV-mKdV equation. Zbl 1509.35270
Wang, Kang-Jia
5
2022
Novel scheme for the fractal-fractional short water wave model with unsmooth boundaries. Zbl 1509.35250
Wang, Kangle
5
2022
A fractal model of power-law fluid through charged fibrous porous media by using the fractional-derivative theory. Zbl 1494.76090
Xiao, Boqi; Li, Yupeng; Long, Gongbo
5
2022
A new \((3+1)\)-Dimensional KdV equation and mkdv equation with their corresponding fractional forms. Zbl 1504.35456
Wang, Gangwei; Wazwaz, Abdul-Majid
5
2022
Fractal dimension of multivariate \(\alpha\)-fractal functions and approximation aspects. Zbl 1525.28007
Pandey, Megha; Agrawal, Vishal; Som, Tanmoy
5
2022
A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. Zbl 1497.65204
Hosseini, Vahid Reza; Rezazadeh, Arezou; Zheng, Hui; Zou, Wennan
5
2022
The numerical strategy of tempered fractional derivative in European double barrier option. Zbl 1484.91521
Xie, Chengxuan; Xia, Xiaoxiao; Aghdam, Yones Esmaeelzade; Farnam, Behnaz; Jafari, Hossein; Wang, Shuchun
4
2022
Strange nonchaotic attractors in a periodically forced piecewise linear system with noise. Zbl 1493.37040
Li, Gaolei; Yue, Yuan; Grebogi, Celso; Li, Denghui; Xie, Jianhua
4
2022
Well-posedness and regularity of Caputo-Hadamard time-fractional diffusion equations. Zbl 07490691
Yang, Zhiwei; Zheng, Xiangcheng; Wang, Hong
4
2022
Solitary waves of the fractal regularized long-wave equation traveling along an unsmooth boundary. Zbl 1507.35205
Wang, Kang-Jia; Li, Geng; Liu, Jing-Hua; Wang, Guo-Dong
4
2022
Heat equations defined by self-similar measures with overlaps. Zbl 1491.35088
Tang, Wei; Ngai, Sze-Man
4
2022
Approximation of the same box dimension in continuous functions space. Zbl 1504.28004
Liang, Yong-Shun
4
2022
Hopf bifurcation of a fractional tri-neuron network with different orders and leakage delay. Zbl 1500.34060
Wang, Yangling; Cao, Jinde; Huang, Chengdai
4
2022
Periodic wave structure of the fractal generalized fourth-order Boussinesq equation traveling along the non-smooth boundary. Zbl 1509.35248
Wang, Kang-Jia; Shi, Feng; Wang, Guo-Dong
4
2022
Long-time decay of Leray solution of 3D-NSE with exponential damping. Zbl 1517.76017
Blel, Mongi; Benameur, Jamel
4
2022
Modeling the dynamics of stochastic norovirus epidemic model with time delay. Zbl 1498.92270
Wang, Ye; Abdeljawad, Thabet; Din, Anwarud
4
2022
Application of the extended f-expansion method for solving the fractional Gardner equation with conformable fractional derivative. Zbl 1501.35012
Wang, Kang-Jia; Shi, Feng; Liu, Jing-Hua; Si, Jing
4
2022
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56 Chand, Arya Kumar Bedabrata
46 Băleanu, Dumitru I.
45 Xi, Lifeng
41 Navascués, María Antonia
38 Abdeljawad, Thabet
36 Su, Weiyi
33 Chu, Yuming
32 Viswanathan, Puthan Veedu
31 Wang, Kangle
29 Golmankhaneh, Alireza Khalili
29 Wang, Kang-Jia
27 Budak, Hüseyin
27 Liang, Yongshun
27 Wang, Xingyuan
26 Dai, Meifeng
25 Rashid, Saima
22 Verma, Saurabh
21 Rezapour, Shahram
21 Selmi, Bilel
21 Shah, Kamal
20 Boulaaras, Salah Mahmoud
20 Du, Tingsong
20 Jarad, Fahd
20 Strichartz, Robert Stephen
19 Vijender, Nallapu
18 El-Nabulsi, Rami Ahmad
18 Gowrisankar, A.
16 Akgül, Ali
16 Etemad, Sina
16 Taqqu, Murad S.
16 Teplyaev, Alexander
16 Xiao, Fuyuan
16 Yang, Xiao-Jun
16 Yao, Kui
15 Ding, Feng
15 Hezenci, Fatih
15 Liu, Fawang
15 Veeresha, Pundikala
15 Wang, Guodong
15 Xiao, Boqi
15 Yu, Boming
14 Raja, Muhammad Asif Zahoor
14 Sabir, Zulqurnain
14 Wang, Qin
13 Abdalla, Mohamed
13 Alzabut, Jehad O.
13 Drakopoulos, Vasileios
13 Fraser, Jonathan MacDonald
13 Huang, Chengdai
13 Liu, Jiangen
13 Liu, Shutang
13 Ma, Chunsheng
13 Ngai, Sze-Man
13 Sun, Yu
13 Wu, Min
13 Xue, Yumei
12 Cao, Jinde
12 Deng, Yong
12 El-Dib, Yusry O.
12 He, Jihuan
12 Jørgensen, Palle E. T.
12 Karaca, Yeliz
12 Li, Changpin
12 Ri, Songil
12 Rochon, Dominic
11 Bárány, Balázs
11 Guefaifia, Rafik
11 Inc, Mustafa
11 Khater, Mostafa M. A.
11 Leonenko, Nikolai N.
11 Long, Gongbo
11 Ma, Li
11 Miculescu, Radu
10 Abdo, Mohammed Salem
10 Agarwal, Praveen
10 Ahmad, Bashir
10 Ahmad, Hijaz
10 Didier, Gustavo
10 Jiang, Kan
10 Ju, Tingting
10 Loridant, Benoit
10 Machado, José António Tenreiro
10 Priyadarshi, Amit
10 Ruan, Huo-Jun
10 Salahshour, Soheil
10 Sooppy Nisar, Kottakkaran
10 Thuswaldner, Jörg Maximilian
10 Turner, Ian William
10 Wu, Guocheng
10 Ye, Qianqian
10 Zada, Akbar
9 Balankin, Alexander S.
9 Bory Reyes, Juan
9 Fan, Jiaqi
9 Gdawiec, Krzysztof
9 He, Chun-Hui
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144 Physica A
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56 Applied Mathematics and Computation
47 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
44 Chaos
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32 Journal of Statistical Physics
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28 Computers & Mathematics with Applications
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22 AIMS Mathematics
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19 Mediterranean Journal of Mathematics
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18 Discrete Dynamics in Nature and Society
17 Abstract and Applied Analysis
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15 International Journal of Biomathematics
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14 Applied Mathematics Letters
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11 International Journal of Modern Physics B
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7 Forum Mathematicum
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258 Statistics (62-XX)
205 Statistical mechanics, structure of matter (82-XX)
191 Operator theory (47-XX)
190 Fluid mechanics (76-XX)
166 Approximations and expansions (41-XX)
155 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
153 Combinatorics (05-XX)
144 Computer science (68-XX)
125 Systems theory; control (93-XX)
121 Harmonic analysis on Euclidean spaces (42-XX)
117 Information and communication theory, circuits (94-XX)
108 Number theory (11-XX)
88 Special functions (33-XX)
88 Mechanics of deformable solids (74-XX)
80 Operations research, mathematical programming (90-XX)
69 Functions of a complex variable (30-XX)
69 Difference and functional equations (39-XX)
68 Integral equations (45-XX)
67 General topology (54-XX)
67 Quantum theory (81-XX)
58 Calculus of variations and optimal control; optimization (49-XX)
57 Functional analysis (46-XX)
53 Integral transforms, operational calculus (44-XX)
53 Geophysics (86-XX)
46 Classical thermodynamics, heat transfer (80-XX)
42 Convex and discrete geometry (52-XX)
40 Potential theory (31-XX)
36 Optics, electromagnetic theory (78-XX)
32 Mechanics of particles and systems (70-XX)
31 Global analysis, analysis on manifolds (58-XX)
27 Relativity and gravitational theory (83-XX)
20 Geometry (51-XX)
19 Differential geometry (53-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
13 General and overarching topics; collections (00-XX)
12 Mathematical logic and foundations (03-XX)
12 Group theory and generalizations (20-XX)
10 Algebraic geometry (14-XX)
10 Several complex variables and analytic spaces (32-XX)
8 Topological groups, Lie groups (22-XX)
7 Abstract harmonic analysis (43-XX)
7 Astronomy and astrophysics (85-XX)
6 Nonassociative rings and algebras (17-XX)
5 History and biography (01-XX)
5 Sequences, series, summability (40-XX)
5 Manifolds and cell complexes (57-XX)
5 Mathematics education (97-XX)
4 Category theory; homological algebra (18-XX)
4 Algebraic topology (55-XX)
3 Commutative algebra (13-XX)
2 Field theory and polynomials (12-XX)
2 Associative rings and algebras (16-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)

Citations by Year