Preprint Article Version 1 This version not peer reviewed

Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay

Version 1 : Received: 18 June 2017 / Approved: 20 June 2017 / Online: 20 June 2017 (03:42:54 CEST)

How to cite: Nouri, K.; Nazari, M.; Keramati, B. Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay. Preprints 2017, 2017060090 (doi: 10.20944/preprints201706.0090.v1). Nouri, K.; Nazari, M.; Keramati, B. Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay. Preprints 2017, 2017060090 (doi: 10.20944/preprints201706.0090.v1).

Abstract

In this paper, by means of the Banach fixed point theorem and the Krasnoselskii's fixed point theorem, we investigate the existence of solutions for some fractional neutral functional integro-differential equations involving infinite delay. This paper deals with the fractional equations in the sense of Caputo fractional derivative and in the Banach spaces. Our results generalize the previous works on this issue. Also, an analytical example is presented to illustrate our results.

Subject Areas

fractional neutral integro-differential equations; initial value problem; Caputo fractional derivative; Krasnoselskii's fixed point theorem

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