PC-almost automorphic solution of impulsive fractional differential equations

DOI10.1007/s00009-014-0449-3zbMath1325.34014OpenAlexW2063112668MaRDI QIDQ493308

Syed Abbas, Lakshman Mahto

Publication date: 3 September 2015

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

Full work available at URL: https://doi.org/10.1007/s00009-014-0449-3

zbMATH Keywords

fixed point theoremsfractional operators\(\alpha\)-resolvent family of bounded linear operatorsPC-almost automorphic function

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Spectrum, resolvent (47A10) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (9)

Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces ⋮ Measure pseudo almost automorphic solution to second order fractional impulsive neutral differential equation ⋮ Piecewise weighted pseudo almost periodicity of impulsive integro-differential equations with fractional order \(1<\alpha<2\) ⋮ Positive piecewise pseudo-almost periodic solutions of first-order singular differential equations with impulses ⋮ Piecewise Continuous Stepanov-Like Almost Automorphic Functions with Applications to Impulsive Systems ⋮ Existence and controllability of fractional evolution equation with sectorial operator and impulse ⋮ Almost periodic solutions for a class of non-instantaneous impulsive differential equations ⋮ The Blow-Up Solutions to Nonlinear Fractional Differential Caputo-System ⋮ Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations

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