On existence results for impulsive fractional neutral stochastic integro-differential equations with nonlocal and state-dependent delay conditions. (English) Zbl 1422.34221
Summary: This manuscript deals with a new set of sufficient conditions for the existence of solutions for a class of impulsive fractional neutral stochastic integro-differential systems (IFNSIDS) with nonlocal conditions (NLCs) and state-dependent delay (SDD) in Hilbert spaces. An example is provided to illustrate the obtained theory.
MSC:
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K30 | Functional-differential equations in abstract spaces |
| 34K40 | Neutral functional-differential equations |
Keywords:
fractional differential equations; stochastic differential system; non-local condition; state-dependent delay; fixed point theorem; semigroup theoryReferences:
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