Solvability of a fractional boundary value problem with fractional integral condition |
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| Authors: | A. Guezane-Lakoud |
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| Affiliation: | a Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar University, B.P. 12, Annaba 23000, Algeriab Laboratory LASEA, Faculty of Sciences, Badji Mokhtar University, Annaba 23000, Algeria |
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| Abstract: | Using Banach contraction principle and Leray-Schauder nonlinear alternative we establish sufficient conditions for the existence and uniqueness of solutions for boundary value problems for fractional differential equations with fractional integral condition, involving the Caputo fractional derivative. Some examples are given to illustrate our results. |
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| Keywords: | 26A33 34B15 |
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