Global solutions of nonlinear fractional diffusion equations with time-singular sources and perturbed orders

DOI10.1007/s13540-022-00056-wzbMath1503.35255OpenAlexW4281681397WikidataQ114016993 ScholiaQ114016993MaRDI QIDQ2110519

Nguyen Minh Dien, Nguyen Dang Minh, Erkan Nane, Dang Duc Trong

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00056-w

zbMATH Keywords

global solutioninitial value problemmaximal solutiondecay rateCaputo derivativefractional diffusion

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Mittag-Leffler functions and generalizations (33E12) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (4)

Continuity of the solution to a stochastic time-fractional diffusion equations in the spatial domain with locally Lipschitz sources ⋮ The Cauchy problem for time-fractional linear nonlocal diffusion equations ⋮ Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior ⋮ On mild solutions of the generalized nonlinear fractional pseudo-parabolic equation with a nonlocal condition

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