On the \(\mathcal{PC}\)-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness

DOI10.1186/s13661-019-1137-9OpenAlexW2919913197MaRDI QIDQ2108215

E. Pourhadi, Bessem Samet, Reza Saadati

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1137-9

zbMATH Keywords

measure of noncompactnessmild solutionsfractional evolution equations\(\mathcal{S}\)-asymptotically \(\omega\)-periodic solutionsDarbo-Sadovskii fixed-point theoremTichonov fixed-point theorem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Fractional ordinary differential equations (34A08)

Related Items (7)

Stability and solvability for a class of optimal control problems described by non-instantaneous impulsive differential equations ⋮ Existence and uniqueness of mild solutions to the chemotaxis-fluid system modeling coral fertilization ⋮ Stability of mild solutions of the fractional nonlinear abstract Cauchy problem ⋮ Measure of noncompactness on weighted Sobolev space with an application to some nonlinear convolution type integral equations ⋮ On the attractivity of the solutions of a problem involving Hilfer fractional derivative via the measure of noncompactness ⋮ Fuzzy controller and stabilizer on random operators ⋮ S-asymptotically \(\omega\)-periodic mild solutions and stability analysis of Hilfer fractional evolution equations

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