Existence and stability of solutions for Hadamard-Stieltjes fractional integral equations
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Abstract
We give some existence results and Ulam stability results for a class of Hadamard-Stieltjes integral equations. We present two results: the first one is an existence result based on Schauder’s fixed point theorem and the second one is about the generalized Ulam-Hyers-Rassias stability.
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Abbas, S., Alaidarous, E., Benchohra, M. and Nieto, J., 2015. Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations. Discrete Dynamics in Nature and Society, 2015, pp.1-6
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https://doi.org/10.1155/2015/317094Sponsors
Partially supported by the Ministerio de Economia y Competitividad of Spain under Grant MTM2013–43014–P and Xunta de Galicia under Grant R2014/002 and cofinanced by the European Community Fund FEDER
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Copyright © 2015 Saïd Abbas et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited