Well‐posedness and Hyers‐Ulam results for a class of impulsive fractional evolution equations

DOI10.1002/mma.6784zbMath1469.35237OpenAlexW3047194185MaRDI QIDQ5003841

Jiafa Xu, Hira Waheed, Akbar Zada

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6784

zbMATH Keywords

fractional evolution equationnoninstantaneous impulsesUlam-type stability\(\mathcal{PC}\)-mild solutionsDiaz-Margolis's fixed-point theorem

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Neutral functional-differential equations (34K40) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Impulsive partial differential equations (35R12)

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