Found 83 Documents (Results 1–83)
Solving the Euler-Poisson-Darboux equation of fractional order. (English. Russian original) Zbl 1518.35626
Sib. Math. J. 64, No. 3, 707-719 (2023); translation from Vladikavkaz. Mat. Zh. 24, No. 2, 85-100 (2022).
Fractional differential equations associated with generalized fractional operators in \(F_{p,\nu}\) space. (English) Zbl 1538.34018
Some estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Herz spaces with rough kernels. (English) Zbl 1503.11144
Solution to the fractional order Euler-Poisson-Darboux equation. (Russian. English summary) Zbl 1538.35424
Vladikavkaz. Mat. Zh. 24, No. 2, 85-100 (2022); translation in Sib. Math. J. 64, No. 3, 707-719 (2022).
Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration. (English) Zbl 1500.35290
Analytical investigation of nonlinear hybrid implicit functional differential inclusions of arbitrary fractional orders. (English) Zbl 1487.34041
Fractional-order chaotic systems with hidden attractors. (English) Zbl 1510.34023
Wang, Xiong (ed.) et al., Chaotic systems with multistability and hidden attractors. Cham: Springer. Emerg. Complex. Comput. 40, 199-238 (2021).
Certain integral transforms concerning the product of family of polynomials and generalized incomplete functions. (English) Zbl 07836864
Quaternionic fractional Fourier transform for Boehmians. (English) Zbl 1467.46043
Ukr. Math. J. 72, No. 6, 942-952 (2020) and Ukr. Mat. Zh. 72, No. 6, 812-821 (2020).
Fractional-order derivatives and integrals: introductory overview and recent developments. (English) Zbl 1453.26008
Reviewer: Javier Gallegos (Santiago de Chile)
Convolution for a pair of quadratic-phase Hankel transforms. (English) Zbl 1455.46048
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 150, 15 p. (2020).
Certain fractional integral and differential formulas involving the extended incomplete generalized hypergeometric functions. (English) Zbl 1442.26008
Rassias, Themistocles M. (ed.) et al., Mathematical analysis and applications. Cham: Springer. Springer Optim. Appl. 154, 217-272 (2019).
Some composition formulae for the M-S-M fractional integral operator with the multi-index Mittag-Leffler functions. (English) Zbl 1469.26010
Tosun, Murat (ed.) et al., 6th international Eurasian conference on mathematical sciences and applications, IECMSA-2017, Budapest, Hungary, August 15–18 August, 2017. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1926, Article 020020, 9 p. (2018).
A new Riemann-Liouville type fractional derivative operator and its application in generating functions. (English) Zbl 1446.26005
On the self-similar, Wright-function exact solution for early-time, anomalous diffusion in random networks: comparison with numerical results. (English) Zbl 1400.82252
High-accuracy power series solutions with arbitrarily large radius of convergence for the fractional nonlinear Schrödinger-type equations. (English) Zbl 1397.35280
Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications. (English) Zbl 1392.33008
MSC:
33C60
Convolutional approach to fractional calculus for distributions of several variables. (English) Zbl 1381.46035
A Petrov-Galerkin finite element method for fractional convection-diffusion equations. (English) Zbl 1335.65092
Reviewer: Abdallah Bradji (Annaba)
Some fractional integral formulas for the Mittag-Leffler type function with four parameters. (English) Zbl 1347.26015
Generalized fractional integral operators and the multivariable \(H\)-function. (English) Zbl 1334.33039
Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions. (English) Zbl 1323.33020
Fractional diffusions with time-varying coefficients. (English) Zbl 1337.60064
Reviewer: Peter Parczewski (Mannheim)
New results from old investigation: a note on fractional \(m\)-dimensional differential operators. The fractional Laplacian. (English) Zbl 1316.26006
Reviewer: Raffaella Servadei (Arcavata di Rende)
On generalized fractional integral operators and the generalized Gauss hypergeometric functions. (English) Zbl 1474.33027
Random flights governed by Klein-Gordon-type partial differential equations. (English) Zbl 1350.60045
MSC:
60G60
Fractional Klein-Gordon equations and related stochastic processes. (English) Zbl 1301.35131
Reviewer: Thomas Ernst (Uppsala)
A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions. (English) Zbl 1348.34011
Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative. (English) Zbl 1312.34014
Dual equations involving convolution transforms of generalized functions. (English) Zbl 1258.44002
Reviewer: Dohan Kim (Seoul)
Pathway fractional integral operator and matrix-variate functions. (English) Zbl 1211.26008
Reviewer: S. L. Kalla (Jodhpur)
A study of generalized fractional integration operators with \(\overline{H} -\)functions composition on spaces \(F_{p,\mu}\) and \(F'_{p,\mu}\). (English) Zbl 1199.30060
MSC:
30C45
A relation between Bessel and Fourier transforms and its application to the weighted inequalities. (English) Zbl 1193.26004
Reviewer: Juan J. Trujillo (La Laguna)
Complexified fractional heat kernel and physics beyond the spectral triplet action in noncommutative geometry. (English) Zbl 1179.58002
Fractional vector calculus and fractional Maxwell’s equations. (English) Zbl 1180.78003
Reviewer: Alan Jeffrey (Newcastle upon Tyne)
Orbits of operators commuting with the Volterra operator. (English) Zbl 1137.47036
Reviewer: Ömer Gök (Istanbul)
The use of fractional derivatives to expand analytical functions in terms of quadratic functions with applications to special functions. (English) Zbl 1116.33001
Reviewer: Ravinder Krishen Raina (Udaipur)
\(N\)-fractional calculus of products of some power functions and some doubly infinite sums. (English) Zbl 1122.26005
Reviewer: K. C. Gupta (Jaipur)
The wavelet transform of distributions. (English) Zbl 1078.42029
Reviewer: Qiyu Sun (Orlando)
Asymptotic representations for hypergeometric-Bessel type function and fractional integrals. (English) Zbl 1013.33003
Reviewer: N.M.Temme (Amsterdam)
Fractional calculus in the Mellin setting and Hadamard-type fractional integrals. (English) Zbl 0995.26007
The Obrechkoff transform on spaces of generalized functions. (English) Zbl 0989.46025
Reviewer: Nácere Hayek (La Laguna)
An application of the \(N\)-fractional calculus operator method to a modified Whittaker equation. (English) Zbl 1030.34001
A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces \(F_{p,\mu}\) and \(F_{p,\mu}^{\prime}\). (English) Zbl 0958.44004
Reviewer: Ravinder Krishen Raina (Udaipur)
Non-Gaussian distributions. (English) Zbl 1042.60048
Reviewer: Alexander Mitrophanov (Saratov)
Non-Gaussian distributions. (English) Zbl 0930.65004
Reviewer: N.Curteanu (Iaşi)
MSC:
65C50
60J60
Fractional order continuity and some properties about integrability and differentiability of real functions. (English) Zbl 0921.26005
Reviewer: Stefan G.Samko (Faro)
MSC:
26A33
On the range of the Hankel and extended Hankel transforms. (English) Zbl 0881.44004
Reviewer: Kh.N.Boyadzhiev (Ada)
MSC:
44A15
Fractional relaxation-oscillation and fractional diffusion-wave phenomena. (English) Zbl 1080.26505
MSC:
26A33
On fractional integration of generalized functions on a half-line. (English) Zbl 0836.46031
Reviewer: B.Rubin (Jerusalem)
Mellin multipliers and radially symmetric Riesz potentials. (English) Zbl 0823.42007
Reviewer: B.Rubin (Jerusalem)
Hankel transformations and spaces of type \(S\). (English) Zbl 0742.46025
Reviewer: B.Rubin (Jerusalem)
On the range and invertibility of a class of Mellin multiplier transforms. I. (English) Zbl 0736.44004
Reviewer: B.P.Duggal (Lesotho)
On relating two approaches for fractional calculus. (English) Zbl 0651.26007
Reviewer: K.Yoshinaga
Patterns and structure in systems governed by linear second-order differential equations. (English) Zbl 0621.34001
Fractional powers of a class of Mellin multiplier transforms. III. (English) Zbl 0599.44003
Reviewer: E.Gesztelyi
Fraction powers of a class of Mellin multiplier transforms. II. (English) Zbl 0599.44002
Reviewer: E.Gesztelyi
Fourier multipliers on spaces of distributions. (English) Zbl 0595.42007
MSC:
42A45
Elliptic transmutation. I. (English) Zbl 0539.35003
Reviewer: J.Wloka
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