On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives

DOI10.1016/j.aml.2020.106373zbMath1442.35235OpenAlexW3016098829MaRDI QIDQ2178702

Donal O'Regan, Tran Bao Ngoc, Nguyen Huy Tuan, Yong Zhou

Publication date: 11 May 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106373

zbMATH Keywords

well-posednessRiemann-Liouville fractional derivativefractional diffusion equationregularity estimates

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Fractional partial differential equations (35R11)

Related Items (12)

NEW RESULTS FOR PARABOLIC EQUATION ON THE SPHERE WITH CAPUTO–FABRIZIO OPERATOR ⋮ Well-posedness results for nonlinear fractional diffusion equation with memory quantity ⋮ Initial‐boundary value problem for a multiterm time‐fractional differential equation and its application to an inverse problem ⋮ On backward fractional pseudo parabolic equation: regularization by quasi-boundary value method, convergence rates ⋮ On fractional diffusion equation with Caputo-Fabrizio derivative and memory term ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Remarks on the initial and terminal value problem for time and space fractional diffusion equation ⋮ The regularized solution approximation of forward/backward problems for a fractional pseudo-parabolic equation with random noise ⋮ Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative ⋮ Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior ⋮ Solvability of pseudoparabolic equation with Caputo fractional derivative

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