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Controllability of fractional-order impulsive neutral functional infinite delay integrodifferential systems in Banach spaces. (English) Zbl 1181.34078
Summary: The controllability of fractional impulsive neutral functional integrodifferential systems in a Banach space has been addressed. Sufficient conditions for the controllability are established using fractional calculus, a semigroup of operators and Krasnoselskii’s fixed point theorem.

34K35 Control problems for functional-differential equations
34K45 Functional-differential equations with impulses
34K30 Functional-differential equations in abstract spaces
34K40 Neutral functional-differential equations
93B05 Controllability
47N20 Applications of operator theory to differential and integral equations
93C23 Control/observation systems governed by functional-differential equations
Full Text: DOI
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