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The existence and uniqueness of mild solutions for impulsive fractional equations with nonlocal conditions and infinite delay. (English) Zbl 1207.34101

Summary: This paper is mainly concerned with the existence and uniqueness of mild solutions for systems of fractional impulsive neutral functional infinite delay integrodifferential equations with nonlocal initial conditions. The results are obtained using a fixed point theorem combined with a strongly continuous operator semigroup.

MSC:

34K37 Functional-differential equations with fractional derivatives
34K30 Functional-differential equations in abstract spaces
34K45 Functional-differential equations with impulses
47N20 Applications of operator theory to differential and integral equations
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