Existence and Attractivity Results for Hilfer Fractional Differential Equations
- Authors: Abbas S.1, Benchohra M.2, Henderson J.3
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Affiliations:
- Tahar Moulay University Saïda
- Djillali Liabes University Sidi Bel-Abbès
- Baylor University Waco
- Issue: Vol 243, No 3 (2019)
- Pages: 347-357
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243098
- DOI: https://doi.org/10.1007/s10958-019-04544-y
- ID: 243098
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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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