On a nonlocal problem for a Caputo time‐fractional pseudoparabolic equation

DOI10.1002/mma.7743zbMath1484.35388OpenAlexW3195879638MaRDI QIDQ5015699

Erdal Karapınar, Zakia Hammouch, Anh Tuan Nguyen, Nguyen Huy Tuan

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7743

zbMATH Keywords

mild solutionnonlocal conditionfractional derivativeCaputo fractional

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

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Time-space fractional diffusion problems: existence, decay estimates and blow-up of solutions ⋮ Well-posed results for nonlocal biparabolic equation with linear and nonlinear source terms ⋮ General decay and blow-up results for a class of nonlinear pseudo-parabolic equations with viscoelastic term ⋮ On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator ⋮ The Cauchy problem for time-fractional linear nonlocal diffusion equations ⋮ On backward fractional pseudo parabolic equation: regularization by quasi-boundary value method, convergence rates ⋮ On an initial boundary value problem for fractional pseudo-parabolic equation with conformable derivative ⋮ Global existence and blow-up for the classical solutions of the long-short wave equations with viscosity

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