Existence result for a neutral fractional integro-differential equation with state dependent delay. (English) Zbl 1407.34012
Summary: In this article, we establish the existence of mild solutions for a class of fractional neutral integro-differential equation with state dependent in Banach space. The results are obtained by Banach contraction principle with resolvent operator technique. An example is offered to explain the theory.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 47A10 | Spectrum, resolvent |
| 45J05 | Integro-ordinary differential equations |
| 34G20 | Nonlinear differential equations in abstract spaces |
Keywords:
fractional integro-differential equations; fixed-point theorem; resolvent operator; state dependent delayReferences:
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