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Existence and stability results for nonlinear implicit neutral fractional differential equations with finite delay and impulses. (English) Zbl 1358.34088

Summary: In this paper, we establish the existence and uniqueness of solutions for a class of nonlinear implicit neutral fractional differential equations with impulse. Also, the Ulam stability for such a class of problems will be considered. The arguments are based upon the Banach contraction principle, and Schaefer’s fixed point theorem. We present an example to show the applicability of our results.

MSC:

34K37 Functional-differential equations with fractional derivatives
34K32 Implicit functional-differential equations
34K40 Neutral functional-differential equations
34K45 Functional-differential equations with impulses
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