Complete solution for the time fractional diffusion problem with mixed boundary conditions by operational method

DOI10.2478/AMNS.2020.2.00002zbMath1506.35257OpenAlexW3017961348MaRDI QIDQ2690797

Yanyan Li

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00002

zbMATH Keywords

Laplace transformHankel transformFourier seriesintegral transform methodCaputo fractional derivativemodified Bessel's functions\(p\)-\(n\) junctionsNewmann function

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10) Fractional partial differential equations (35R11)

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Cites Work

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• Solution for fractional forced KdV equation using fractional natural decomposition method
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• Novel simulations to the time-fractional Fisher's equation
• Mixed boundary value problems in semi - infinite strip
• Operational Calculus and Related Topics
• The general motion of a circular disk in a Brinkman medium

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