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Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

Article scientifique 2017 Anglais

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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