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Aissani, Khalida; Benchohra, Mouffak

Controllability of fractional integrodifferential equations with state-dependent delay. (English) Zbl 1348.34131

J. Integral Equations Appl. 28, No. 2, 149-167 (2016).
Summary: According to fractional calculus theory and Sadovskii’s fixed point theorem, we establish sufficient conditions for the controllability of a fractional integro-differential equation with state-dependent delay. An example is provided to illustrate the theory.

Cited in 8 Documents

MSC:

34K35 Control problems for functional-differential equations
34K37 Functional-differential equations with fractional derivatives
93B05 Controllability
34K30 Functional-differential equations in abstract spaces

Keywords:

controllability; Caputo fractional derivative; integro-differential equations; fixed point; semigroup; state-dependent delay
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Full Text: DOI Euclid

References:

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