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. Preprints2017, 2017060090. https://doi.org/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. https://doi.org/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. Preprints2017, 2017060090. https://doi.org/10.20944/preprints201706.0090.v1
APA Style
Nouri, K., Nazari, M., & Keramati, B. (2017). Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay. Preprints. https://doi.org/10.20944/preprints201706.0090.v1
Chicago/Turabian Style
Nouri, K., Marjan Nazari and Bagher Keramati. 2017 "Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay" Preprints. https://doi.org/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.
Keywords
fractional neutral integro-differential equations; initial value problem; Caputo fractional derivative; Krasnoselskii's fixed point theorem
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.