New method for solving system of P.F.D.E. and fractional evolution disturbance equation of distributed order

DOI10.1080/09720502.2010.10700690zbMath1225.44002OpenAlexW2086792250MaRDI QIDQ3005260

Arman Aghili, Alireza Ansari

Publication date: 7 June 2011

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.2010.10700690

zbMATH Keywords

integral transforminversion formulaVolterra integral equationsingular integral equationconvolution theoremfractional diffusion equationWright function\({\mathcal L}_{A}\)-transformfractional disturbance equation

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Fractional partial differential equations (35R11)

Related Items (4)

New identities for the Wright and the Mittag-Leffler functions using the Laplace transform ⋮ Some results on the $P_{v,2n}$, $K_{v,n}$, and $H_{v,n}$-integral transforms ⋮ Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations ⋮ Stability and convergence of a local discontinuous Galerkin method for the fractional diffusion equation with distributed order

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