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- Title
IMPULSIVE Ψ-CAPUTO HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL CONDITIONS.
- Authors
Chefnaj, Najat; Hilal, Khalid; Kajouni, Ahmed
- Abstract
In this paper, we develop the theory of nonlinear hybrid fractional differential equations involving ψ -Caputo fractional derivative. We establish the existence and uniqueness for a new class of impulsive fractional boundary value problems with nonlocal and boundary hybrid conditions. Our main theorem is demonstrated using fixed point theorems, including the Banach fixed point theorem and the Leray-Schauder alternative fixed point theorem. Some examples are also constructed to demonstrate the application of the main results.
- Subjects
BOUNDARY value problems; NONLINEAR theories; IMPULSIVE differential equations; FRACTIONAL differential equations; HYBRID systems
- Publication
Journal of Mathematical Sciences, 2024, Vol 280, Issue 2, p168
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06805-3