On M-Wright transforms and time-fractional diffusion equations

DOI10.1080/10652469.2016.1252763zbMath1365.35215OpenAlexW2554771570MaRDI QIDQ2968813

Alireza Ansari, Leila Moslehi

Publication date: 22 March 2017

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1252763

zbMATH Keywords

Bessel equationM-Wright functionexponential operatorLegendre equationMittag-Leffler operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral representations of solutions to PDEs (35C15) Laplace transform (44A10) Fractional partial differential equations (35R11)

Related Items (8)

Fractional Ostrovsky Equation ⋮ Some integral identities for products of Airy functions using integral transforms ⋮ Logarithmic functions are eigenfunctions of integral operators with \(M\)-Wright kernels ⋮ Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration ⋮ On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\) ⋮ Green's function of two-dimensional time-fractional diffusion equation using addition formula of Wright function ⋮ Asymptotic analysis of the Wright function with a large parameter ⋮ Exact solutions to the fractional differential equations with mixed partial derivatives

Uses Software

• DLMF

Cites Work

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