On Solutions of Hybrid Time Fractional Heat Problem

DOI10.21915/BIMAS.2021103zbMath1484.65246OpenAlexW3158952299MaRDI QIDQ5004099

Ali Demir, Süleyman Çetinkaya

Publication date: 30 July 2021

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21915/bimas.2021103

zbMATH Keywords

spectral methodhybrid fractional derivativebivariate Mittag-Leffler functionnon-homogenous Dirichlet boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Fractional derivatives and integrals (26A33) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Painlevé-type functions (33E17) Fractional partial differential equations (35R11)

Related Items (1)

Sequential time space fractional diffusion equation including nonhomogenous initial boundary conditions

Cites Work

• Unnamed Item
• Sturm-Liouville problem and numerical method of fractional diffusion equation on fractals
• Space-time fractional diffusion-advection equation with Caputo derivative
• A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators
• THE ANALYTIC SOLUTION OF INITIAL BOUNDARY VALUE PROBLEM INCLUDING TIME FRACTIONAL DIFFUSION EQUATION
• Sequential space fractional diffusion equation’s solutions via new inner product
• DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION

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