Existence and uniqueness of mild solutions for a final value problem for nonlinear fractional diffusion systems

DOI10.1016/J.CNSNS.2019.104882zbMath1476.35313OpenAlexW2951712416MaRDI QIDQ2206617

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

Publication date: 22 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.104882

zbMATH Keywords

fixed point theoryfinal value problemfractional diffusion system

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

On a nonlinear parabolic equation with fractional Laplacian and integral conditions ⋮ On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems ⋮ On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives ⋮ Source identification problems for abstract semilinear nonlocal differential equations ⋮ Identifying the initial state for a parabolic diffusion from their time averages with fractional derivative ⋮ The final value problem for anomalous diffusion equations involving weak-valued nonlinearities ⋮ Unnamed Item ⋮ Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time

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