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Start Over Author "DAHMANI, ZOUBIR" Journal mathematical methods in the applied sciences
3 results on '"DAHMANI, ZOUBIR"'

1. Existence and stability for a nonlinear hybrid differential equation of fractional order via regular Mittag–Leffler kernel.

Author

Slimane, Ibrahim, Dahmani, Zoubir, Nieto, Juan J., and Abdeljawad, Thabet

Subjects
*NONLINEAR differential equations, *DIFFERENTIAL equations
Abstract

This paper deals with a nonlinear hybrid differential equation written using a fractional derivative with a Mittag–Leffler kernel. Firstly, we establish the existence of solutions to the studied problem by using the Banach contraction theorem. Then, by means of the Dhage fixed‐point principle, we discuss the existence of mild solutions. Finally, we study the Ulam–Hyers stability of the introduced fractional hybrid problem. [ABSTRACT FROM AUTHOR]

Published
2023
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