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Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
Journal article   Open access  Peer reviewed

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

S. Abbas, M. Benchohra, J. E. Lagreg, A. Alsaedi and Y. Zhou
Advances in difference equations, Vol.2017(1), pp.1-14
27/06/2017
DOI: https://doi.org/10.1186/s13662-017-1231-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1186/s13662-017-1231-1View
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