Found 57 Documents (Results 1–57)
Fractional differentiation of the product of Bessel functions of the first kind. (English) Zbl 1332.26014
Reviewer: S. L. Kalla (Ballwin)
Operator theoretic approach to the Caputo derivative and the fractional diffusion equations. arXiv:1411.7289
Preprint, arXiv:1411.7289 [math.AP] (2014).
Laplace-Laplace analysis of the fractional Poisson process. arXiv:1305.5473
Preprint, arXiv:1305.5473 [math.PR] (2013).
Subordination Pathways to Fractional Diffusion. arXiv:1104.4041
Preprint, arXiv:1104.4041 [math.PR] (2011).
Mittag-Leffler Waiting Time, Power Laws,Rarefaction, Continuous Time Random Walk, Diffusion Limit. arXiv:1004.4413
Preprint, arXiv:1004.4413 [math.PR] (2010).
Subordination in fractional diffusion processes via continuous time random walk. (English) Zbl 1181.26015
Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 451-465 (2009).
Some recent advances in theory and simulation of fractional diffusion processes. (English) Zbl 1166.45004
Simulation of the continuous time random walk of the space-fractional diffusion equations. (English) Zbl 1153.65007
Sub-diffusion equations of fractional order and their fundamental solutions. (English) Zbl 1135.35004
Taş, K. (ed.) et al., Mathematical methods in engineering. Selected papers of the international symposium, MME06, Ankara, Turkey, April 27–29, 2006. Dordrecht: Springer (ISBN 978-1-4020-5677-2/hbk; 978-1-4020-5678-9/e-book). 23-55 (2007).
Reviewer: Messoud A. Efendiev (Berlin)
Convergence of the Grünwald-Letnikov scheme for time-fractional diffusion. (English) Zbl 1127.65100
Reviewer: Pat Lumb (Chester)
Some aspects of fractional diffusion equations of single and distributed order. (English) Zbl 1122.26004
Reviewer: K. C. Gupta (Jaipur)
Fractional relaxation of distributed order. (English) Zbl 1167.26303
Novak, Miroslav M., Complexus mundi. Emergent patterns in nature. Hackensack, NJ: World Scientific (ISBN 981-256-666-X/hbk). 33-42 (2006).
Reviewer: James Adedayo Oguntuase (Abeokuta)
On multi-dimensional random walk models approximating symmetric space-fractional diffusion processes. (English) Zbl 1131.60038
Reviewer: Ion Cuculescu (Bucureşti)
Renewal processes of Mittag-Leffler and Wright type. (English) Zbl 1126.60070
Reviewer: Josef Steinebach (Köln)
Discrete models of time-fractional diffusion in a potential well. (English) Zbl 1129.26002
Reviewer: Som Prakash Goyal (Jaipur)
Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I. (English) Zbl 1100.35132
Reviewer: Nasser-eddine Tatar (Dhahran)
A renewal process of Mittag-Leffler type. (English) Zbl 1191.60101
Novak, Miroslav M. (ed.), Thinking in patterns. Fractals and related phenomena in nature. Proceedings of the 8th international conference, Fractal 2004, Vancouver, Canada, April 4–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-238-822-2). 35-46 (2004).
Mellin transform and subordination laws in fractional diffusion processes. (English) Zbl 1083.60032
Reviewer: Peter Becker-Kern (Dortmund)
Distributed order time fractional diffusion equation. (English) Zbl 1089.60046
Reviewer: Rudolf Gorenflo (Berlin)
Revisiting the derivation of the fractional diffusion equation. (English) Zbl 1050.35163
Reviewer: Piotr Garbaczewski (Zielona Góra)
The tomato salad problem in spherical stereology. (English) Zbl 1049.45003
Romanov, V. G. (ed.) et al., Ill-posed and inverse problems. Dedicated to Academician Mikhail Mikhailovich Lavrentiev on the occasion of his 70th birthday. Utrecht: VSP (ISBN 90-6764-362-9/hbk). 127-144 (2002).
Random walk models approximating symmetric space-fractional diffusion processes. (English) Zbl 1007.60082
Elschner, J. (ed.) et al., Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25-28, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 121, 120-145 (2001).
Reviewer: Shizan Fang (Dijon)
On some boundary value problems for pseudo-differential equations with boundary operators of fractional order. (English) Zbl 1033.35162
On the Cauchy and multi-point problems for partial pseudo-differential equations of fractional order. (English) Zbl 1033.35160
Fractional calculus: Special functions and applications. (English) Zbl 1030.26004
Cocolicchio, Decio (ed.) et al., Advanced special functions and applications. Proceedings of the workshop, Melfi, Italy, May 9-12, 1999. Rome: Aracne Editrice. Proc. Melfi Sch. Adv. Top. Math. Phys. 1, 165-188 (2000).
Reviewer: Stefan G.Samko (Faro)
On Mittag-Leffler-type functions in fractional evolution processes. (English) Zbl 0970.45005
Reviewer: Ismail Taqi Ali (Safat)
Wright functions as scale-invariant solutions of the diffusion-wave equation. (English) Zbl 0973.35012
Reviewer: Ismail Taqi Ali (Safat)
Analytical properties and applications of the Wright function. (English) Zbl 1027.33006
Reviewer: Matti Vuorinen (Helsinki)
On solvability of linear fractional differential equations in Banach spaces. (English) Zbl 1041.34045
An operational method for solving fractional differential equations with the Caputo derivatives. (English) Zbl 0931.44003
Reviewer: Lothar Berg (Rostock)
Random walk models for space-fractional diffusion processes. (English) Zbl 0946.60039
Reviewer: Virginia S.Kiryakova (Sofia)
Scale-invariant solutions of a partial differential equation of fractional order. (English) Zbl 0940.45001
Reviewer: Virginia S.Kiryakova (Sofia)
Signalling problem and Dirichlet-Neumann map for time-fractional diffusion-wave equations. (English) Zbl 0932.35021
Round table discussion: “Physical and geometrical meanings and applications of fractional calculus operators”. (English) Zbl 0951.26004
Rusev, P. (ed.) et al., Transform methods and special functions. Proceedings of the 2nd international workshop, Varna, Bulgaria, August 23-30, 1996. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. 577-609 (1998).
Reviewer: Rudolf Gorenflo (Berlin)
The tomato salad problem in spherical stereology. (English) Zbl 0924.45008
Rusev, P. (ed.) et al., Transform methods and special functions. Proceedings of the 2nd international workshop, Varna, Bulgaria, August 23–30, 1996. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. 132-149 (1998).
Special functions in fractional relaxation-oscillation and fractional diffusion-wave phenomena. (English) Zbl 0921.33009
Bainov, D. (ed.), Proceedings of the 8th international colloquium on differential equations, Plovdiv, Bulgaria, August 18–23, 1997. Utrecht: VSP. 195-202 (1998).
Reviewer: O.Fekete (Freiburg)
Fractional calculus: integral and differential equations of fractional order. (English) Zbl 1438.26010
Carpinteri, A. et al., Fractals and fractional calculus in continuum mechanics. Wien: Springer. CISM Courses Lect. 378, 223-276 (1997).
On the dependence of asymptotics of \(S\)-numbers of fractional integration operators on weight functions. (English) Zbl 0912.47011
Fractional oscillations and Mittag-Leffler functions. (English) Zbl 0916.34011
Hamoui, Adnan (ed.) et al., International workshop on the recent advances in applied mathematics, RAAM ’96, State of Kuwait, Kuwait, May 4–7, 1996. Kuwait: Kuwait Univ., Department of Mathematics and Computer Science, 193-208 (1996).
Singular values of fractional and Volterra integral operators. (English) Zbl 0829.45001
Dang Dinh Ang (ed.) et al., Inverse problems and applications to geophysics, industry, medicine and technology. Proceedings of the international workshop on inverse problems, 17-19 January 1995, HoChiMinh City, Vietnam. HoChiMinh City: Vietnam Mathematical Society, Publ. HoChiMinh City Math. Soc. 2, 174-185 (1995).
Reviewer: B.D.Khanh (Paris)
Simulation and inversion of fractional integration: A systems theory approach. (English) Zbl 0927.26007
Dang Dinh Ang (ed.) et al., Inverse problems and applications to geophysics, industry, medicine and technology. Proceedings of the international workshop on inverse problems, 17-19 January 1995, HoChiMinh City, Vietnam. HoChiMinh City: Vietnam Mathematical Society, Publ. HoChiMinh City Math. Soc. 2, 141-148 (1995).
MSC:
26A33
Hardy type inequalities for fractional integral operators. (English) Zbl 0917.26009
Rusev, P. (ed.) et al., Transform methods and special functions. Proceedings of the 1st international workshop, Bankya, Bulgaria, August 12–17, 1994. Sofia: SCT Publishing, 364-369 (1995).
Asymptotics of singular values of fractional integral operators. (English) Zbl 0808.45001
Reviewer: O.Staffans (Espoo)
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