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http://dx.doi.org/10.7468/jksmeb.2020.27.1.13

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

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)
Publication Information
The Pure and Applied Mathematics / v.27, no.1, 2020 , pp. 13-24 More about this Journal
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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