Abstract
In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of boundary value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle. Two examples are included to show the applicability of our results.
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2010 Mathematics Subject Classification. 26A33, 34A08.
aLaboratory of Mathematics, University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel Abbes 22000, Algeria e-mail: benchohra@univ-sba.dz, Bouriahsoufiane@yahoo.fr
b Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
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Benchohra, M., Bouriah, S. Existence and Stability Results for Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order. Moroc J Pure Appl Anal 1, 2 (2015). https://doi.org/10.7603/s40956-015-0002-9
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DOI: https://doi.org/10.7603/s40956-015-0002-9