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.
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.
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 Application, 5(1), 49-57.