Sequential space fractional diffusion equation’s solutions via new inner product

DOI10.1142/S1793557121501217zbMath1482.35244OpenAlexW3048403421MaRDI QIDQ5164646

Süleyman Çetinkaya, Ali Demir

Publication date: 12 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121501217

zbMATH Keywords

Mittag-Leffler functionspectral methodCaputo fractional derivativespace fractional diffusion equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (2)

Unnamed Item ⋮ On Solutions of Hybrid Time Fractional Heat Problem

Cites Work

• Unnamed Item
• Numerical approximations for fractional diffusion equations via splines
• On the numerical solutions for the fractional diffusion equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A new numerical algorithm for solving a class of fractional advection-dispersion equation with variable coefficients using Jacobi polynomials
• Basic results for sequential Caputo fractional differential equations
• A new approach for the approximate analytical solution of space-time fractional differential equations by the homotopy analysis method
• THE ANALYTIC SOLUTION OF INITIAL BOUNDARY VALUE PROBLEM INCLUDING TIME FRACTIONAL DIFFUSION EQUATION
• A new approach to space fractional differential equations based on fractional order Euler polynomials

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