Existence and uniqueness of mild solutions for fractional partial integro-differential equations

DOI10.1007/s00009-020-01550-2zbMath1452.35248OpenAlexW3037359462MaRDI QIDQ779936

Baoyan Han, Bo Zhu

Publication date: 14 July 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-01550-2

zbMATH Keywords

measure of noncompactnesssolution operatorconvex-power condensing operatorgeneral Banach contraction mapping principlenonlinear time fractional partial integro-differential equation

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Methods of ordinary differential equations applied to PDEs (35A24) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Approximate controllability for mixed type non-autonomous fractional differential equations ⋮ Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces ⋮ Existence theorems for fractional semilinear integrodifferential equations with noninstantaneous impulses and delay ⋮ Existence results for fractional semilinear integrodifferential equations of mixed type with delay ⋮ Nonlocal complement value problem for a global in time parabolic equation

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