SOLUTION TO SYSTEM OF PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE $\mathcal{L}_2$-TRANSFORM

DOI10.1142/S0219530511001765zbMath1208.26013MaRDI QIDQ3074788

Arman Aghili, Alireza Ansari

Publication date: 10 February 2011

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Laplace transformpartial fractional differential equation\(\mathcal L_2\)-transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fractional derivatives and integrals (26A33) Laplace transform (44A10)

Related Items (14)

On fractional Mittag-Leffler operators ⋮ New identities for the Wright and the Mittag-Leffler functions using the Laplace transform ⋮ Fractional exponential operators and time-fractional telegraph equation ⋮ Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration ⋮ Fractional exponential operators and nonlinear partial fractional differential equations in the Weyl fractional derivatives ⋮ Comparative analysis for fractional Laplace and Helmholtz equations on sphere with mixed boundary conditions ⋮ New inversion techniques for some integral transforms via the generalized product theorem of the Mellin transform ⋮ Green's function of two-dimensional time-fractional diffusion equation using addition formula of Wright function ⋮ On Hyers-Ulam stability of fractional differential equations with Prabhakar derivatives ⋮ Asymptotic analysis of the Wright function with a large parameter ⋮ Solution to system of partial fractional differential equations using the fractional exponential operators ⋮ Unnamed Item ⋮ Approximate Higher Ring Derivations in Non-Archimedean Banach Algebras ⋮ A general class of integral transforms and an expression for their convolution formulas

Cites Work

• Identities for the \(\mathcal {E}_{2,1}\)-transform and their applications
• A Parseval-Goldstein type theorem on the Widder potential transform and its applications
• A note on Fox-singular integral equations and its application
• An inversion technique for l_2-transform with applications
• Fractional diffusion equation on fractals: three-dimensional case and scattering function

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