Solvability of an implicit fractional integral equation via a measure of noncompactness argument

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• 作者：Juan J. NIETO^a ; ^b ; ^{juanjose.nieto.roig@usc.es} ; Bessem SAMET^c ; ^{bsamet@ksu.edu.sa}
• 关键词：umplicit fractional integral equation ; measure of noncompactness ; Darbo's theorem
• 刊名：Acta Mathematica Scientia
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：37
• 期：1
• 页码：195-204
• 全文大小：183 K
• 卷排序：37

文摘

In this paper, we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function, which generalizes the Riemann-Liouville fractional integral and the Hadamard fractional integral. We establish an existence result to such kind of equations using a generalized version of Darbo's theorem associated to a certain measure of noncompactness. Some examples are presented.