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ISSN : 1226-0657

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Vol.27 No.1

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Solvability of some nonlinear integro-differential equations of fractional order via measure of noncompactnes

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2020, v.27 no.1, pp.13-24
https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.1.13
Dadsetadi, Somayyeh
Nouri, Kazem
Torkzadeh, Leila
Dadsetadi,, S. , Nouri,, K. , & Torkzadeh,, L. (2020). Solvability of some nonlinear integro-differential equations of fractional order via measure of noncompactnes. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 27(1), 13-24, https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.1.13

Abstract

In this article, we investigate the solvability of nonlinear fractional integro-differential equations of the Hammerstein type. The results are obtained using the technique of measure of noncompactness and the Darbo theorem in the real Banach space of continuous and bounded functions in the interval [0, a]. At the end, an example is presented to illustrate the effectiveness of the obtained results.

keywords
fractional Hammerstein integro-differential equations, measure of noncompactness, fixed-point theorems, Darbo condition

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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