Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay

DOI10.31197/ATNAA.494662zbMath1449.34269OpenAlexW2913608056MaRDI QIDQ5228682

Khalida Aissani, Juan. J. Nieto, Mouffak Benchohra

Publication date: 12 August 2019

Published in: Advances in the Theory of Nonlinear Analysis and its Application (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31197/atnaa.494662

zbMATH Keywords

fixed pointBanach spacemild solutionstate-dependent delayCaputo fractional derivativesolution operator\(\alpha\)-resolvent familyimpulsive fractional evolution

Mathematics Subject Classification ID

Controllability (93B05) Functional-differential equations with impulses (34K45) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09) Functional-differential equations with state-dependent arguments (34K43)

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Existence of solutions of the abstract Cauchy problem of fractional order ⋮ Well-posedness and ill-posedness results for backward problem for fractional pseudo-parabolic equation ⋮ A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems ⋮ Controllability results for second-order integro-differential equations with state-dependent delay ⋮ Existence results for abstract functional differential equations with infinite state-dependent delay and applications ⋮ On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative

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