Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations

Fatima Si bachir; Saïd  Abbas; Maamar Benbachir; Mouffak Benchohra; Gaston M. N‘Guérékata

doi:10.4067/S0719-06462021000100145

DOI:

https://doi.org/10.4067/S0719-06462021000100145

Abstract

In this work, we present some results on the existence of attractive solutions of fractional differential equations of the \(\psi\)-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.

Keywords

\(\psi\)-Hilfer fractional derivate , Schauder fixed-point Theorem , uniformly locally attractive

Fatima Si bachir Laboratory of Mathematics and Applied Sciences, University of Ghardaia, 47000, Algeria.
Saïd Abbas Department of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria.
Maamar Benbachir Department of Mathematics, Saad Dahlab Blida1, University of Blida, Algeria.
Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria.
Gaston M. N‘Guérékata NEERLab, Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore M.D. 21252, USA.

Pages: 145–159
Date Published: 2021-04-14
Vol. 23 No. 1 (2021)

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