Existence results for an impulsive fractional integro-differential equation with state-dependent delay

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摘要

In this paper, we have a tendency to implement different fixed point theorem [ Banach contraction principle, Krasnoselskii’s [18] and Schaefer’s [, 18] coupled with solution operator to analyze the existence and uniqueness results for an impulsive fractional integro-differential equations (IFIDE) with state-dependent delay (SDD) in Banach spaces. Finally, cases are offered to demonstrate the concept.

论文关键词:Fractional order differential equations,Impulsive conditions,State-dependent delay,Fixed point theorems,Semigroup theory

论文评审过程:Received 9 November 2014, Revised 9 January 2015, Accepted 10 May 2015, Available online 2 June 2015, Version of Record 2 June 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.05.031