Existence and Attractivity Results for Hilfer Fractional Differential Equations


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Abstract

We present some results on the existence of attracting solutions of some fractional differential equations of the Hilfer type. The results on the existence of solutions are applied to the Schauder fixed-point theorem. It is proved that all solutions are uniformly locally attracting.

About the authors

S. Abbas

Tahar Moulay University Saïda

Author for correspondence.
Email: said.abbas@univ-saida.dz
Algeria, P.O. Box 138, EN-Nasr, Saïda, 20000

M. Benchohra

Djillali Liabes University Sidi Bel-Abbès

Email: said.abbas@univ-saida.dz
Algeria, P.O. Box 89, Sidi Bel-Abbès, 22000

J. Henderson

Baylor University Waco

Email: said.abbas@univ-saida.dz
United States, Waco, Texas, 76798-7328

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