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

S. Suganya, M. Mallika Arjunan and J.J. Trujillo

Applied Mathematics and Computation, 2015, vol. 266, issue C, 54-69

Abstract: 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.

Keywords: Fractional order differential equations; Impulsive conditions; State-dependent delay; Fixed point theorems; Semigroup theory (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:54-69

DOI: 10.1016/j.amc.2015.05.031

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