Existence and uniqueness of solutions of fractional quasilinear mixed integrodifferential equations with nonlocal condition in Banach spaces

DOI10.14232/EJQTDE.2012.1.51zbMath1340.35368OpenAlexW2219120478MaRDI QIDQ5502628

Mohammed Hazi, Mabrouk Bragdi

Publication date: 26 August 2015

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2012.1.51

zbMATH Keywords

existence and uniquenessnonlocal conditionBanach's fixed point theoremresolvent operatorsfractional integrodifferential equationmild and classical solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Abstract integral equations, integral equations in abstract spaces (45N05) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Hölder's inequality \(\rho \)-mean continuity for existence and uniqueness solution of fractional multi-integrodifferential delay system ⋮ Some results on mixed fractional integrodifferential equation in matrix MB-space ⋮ Existence of mild solution for mixed Volterra-Fredholm integro fractional differential equation with non-instantaneous impulses

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