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Original research article

Hilfer-Hadamard Fractional Differential Equations; Existence and Attractivity

Author(s):

Fatima Si Bachira, Saïd Abbasb, Maamar Benbachirc, Mouffak Benchohrad

aLaboratory of Mathematics and Applied Sciences, University of Ghardaia, 47000, Algeria.
bDepartment of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria.
cDepartment of Mathematics, Saad Dahlab Blida1, University of Blida, Algeria.
dLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria.

Advances in the Theory of Nonlinear Analysis and its Applications 5(1), 49-57.
Received: November 19, 2020

  

  

  

Accepted: December 29, 2020

  

Published: December 31, 2020

Abstract

This work deals with a class of Hilfer–Hadamard differential equations. Existence and stability of solutions are presented. We use an appropriate fixed point theorem.

Keywords: Hilfer–Hadamard fractional derivative, Schauder fixed-point theorem, uniformly locally attracting.

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APA Style

Bachir, F. S., Said, A., Benbachır, M., & Benchohra, M. (2021). Hilfer-Hadamard fractional differential equations; Existence and attractivity. Advances in the Theory of Nonlinear Analysis and its Application5(1), 49-57.