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

Somayyeh Dadsetadi|Kazem Nouri|Leila Torkzadeh
한국수학교육학회|2020.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제27권 제1호|pp. 13-24|DOI http://dx.doi.org/10.7468/jksmeb.2020.27.1.13

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참고문헌

키워드

measure of non- compactnessxed-point theoremsDarbo condition.
주제분류수학

초록

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

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

참고문헌 (26)

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