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Li, Fang

Solvability of nonautonomous fractional integrodifferential equations with infinite delay. (English) Zbl 1207.45015

Adv. Difference Equ. 2011, Article ID 806729, 18 p. (2011).
Summary: We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space \(X\). The existence of mild solution is obtained by using the theory of the measure of noncompactness and Sadovskii’s fixed point theorem. An application of the abstract results is also given.

Cited in 11 Documents

MSC:

45N05 Abstract integral equations, integral equations in abstract spaces
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
26A33 Fractional derivatives and integrals
47H08 Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.

Keywords:

mild solution; nonlinear nonautonomous fractional integrodifferential equations; infinite delay; Banach space; measure of noncompactness; Sadovskii’s fixed point theorem
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\textit{F. Li}, Adv. Difference Equ. 2011, Article ID 806729, 18 p. (2011; Zbl 1207.45015)
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References:

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