THE ANALYTIC SOLUTION OF INITIAL BOUNDARY VALUE PROBLEM INCLUDING TIME FRACTIONAL DIFFUSION EQUATION

DOI10.22190/FUMI2001243CzbMath1499.65555OpenAlexW3014591503MaRDI QIDQ5009383

Hulya Kodal Sevindir, Ali Demir, Süleyman Çetinkaya

Publication date: 20 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi2001243c

zbMATH Keywords

Mittag-Leffler functioninitial-boundary value problemsspectral methodspace-fractional diffusion equationCaputo fractional derivative

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Sturm-Liouville theory (34B24) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

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Sequential time space fractional diffusion equation including nonhomogenous initial boundary conditions ⋮ Sequential space fractional diffusion equation’s solutions via new inner product ⋮ Unnamed Item ⋮ NUMERICAL SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS VIA LAPLACE TRANSFORM ⋮ On Solutions of Hybrid Time Fractional Heat Problem

Cites Work

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• Numerical solution and distinguishability in time fractional parabolic equation
• Analysis of the inverse problem in a time fractional parabolic equation with mixed boundary conditions
• A new approach for space-time fractional partial differential equations by residual power series method
• A new approach for the approximate analytical solution of space-time fractional differential equations by the homotopy analysis method
• Analysis of fractional partial differential equations by Taylor series expansion

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