Cubo
(Apr 2021)
Existence and attractivity results for ψ -Hilfer hybrid fractional differential equations
Fatima Si bachir,
Saïd Abbas,
Maamar Benbachir,
Mouffak Benchohra,
Gaston M. N’Guérékata
Affiliations
Fatima Si bachir
ORCiD Laboratory of Mathematics and Applied Sciences, University of Ghardaia, 47000, Algeria.
Saïd Abbas
ORCiD Department of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria.
Maamar Benbachir
ORCiD Department of Mathematics, Saad Dahlab Blida1, University of Blida, Algeria.
Mouffak Benchohra
ORCiD Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria.
Gaston M. N’Guérékata
ORCiD NEERLab, Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore M.D. 21252, USA.
DOI
https://doi.org/10.4067/S0719-06462021000100145
Journal volume & issue
Vol. 23,
no. 1
Abstract
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In this work, we present some results on the existence of attractive solutions of fractional differential equations of the ψ-Hilfer hybrid type. The results on the existence of solutions are a consequence of the Schauder fixed point theorem. Next, we prove that all solutions are uniformly locally attractive.
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