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Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
Résumé
This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative. An application is made of a Schauder fixed point theorem for the existence of solutions. Next we prove that our problem is generalized Ulam-Hyers-Rassias stable.
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Abbas, S., Benchohra, M., Lagreg, J., Alsaedi, A., Zhou, Y.
(2017). Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type.
https://doi.org/10.1186/s13662-017-1231-1
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