Submitted:
24 October 2018
Posted:
25 October 2018
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Abstract
In this paper, we established the existence of PC-mild solutions for non local fractional impulsive functional integro-differential equations with finite delay. The proofs are obtained by using the techniques of fixed point theorems, semi-group theory and generalized Bellman inequality. In this paper, we have used the distributed characteristic operators to define the mild solution of the system. Results obtained here improve and extend some known results.
Keywords:
fractional differential equations: impulse
; integro-differential equations
; non local conditions
; fixed point theorem
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