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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University)
Nouri, Kazem (Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University)
Torkzadeh, Leila (Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University)

Dadsetadi, Somayyeh, Nouri, Kazem, & Torkzadeh, Leila. (2020). SOLVABILITY OF SOME NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER VIA MEASURE OF NONCOMPACTNESS. 한국수학교육학회지시리즈B:순수및응용수학, 27(1), 13-24, https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.1.13

복사

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

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논문 상세

Vol.27 No.1

SOLVABILITY OF SOME NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER VIA MEASURE OF NONCOMPACTNESS

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학