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| Title: | Solvability of a fractional integral equation with the concept of measure of noncompactness | Authors: | Sadarangani Sadarangani, Kishin B. Samet, Bessem |
UNESCO Clasification: | 12 Matemáticas 1206 Análisis numérico 120215 Ecuaciones integrales |
Keywords: | Integral equation Fractional integral with respect to another function Riemarm-Liouville fractional integral Erdelyi-Kober fractional integral Hadamard fractional integral, et al |
Issue Date: | 2017 | Journal: | Bulletin of the Belgian Mathematical Society - Simon Stevin | Abstract: | We study the existence of solutions for a new class of integral equations involving a fractional integral with respect to another function. Our techniques are based on the measure of non-compactness concept combined with a generalized version of Darbo's theorem. Some examples are presented to illustrate the obtained results. | URI: | http://hdl.handle.net/10553/41302 | ISSN: | 1370-1444 | Source: | Bulletin of the Belgian Mathematical Society - Simon Stevin [ISSN 1370-1444], v. 24 (1), p. 135-151 |
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