John R. Graef  and Samira Hamani
Existence Results for Impulsive Caputo-Hadamard Fractional Differential Equations with Integral Boundary Conditions
Dynamic Systems and Applications 32 (2023) 1-16

https://doi.org/10.46719/dsa2023.32.01

ABSTRACT.
In this paper, the authors establish conditions for the existence of solutions to impulsive Caputo-Hadamard fractional differential equations with integral boundary conditions. The proofs make use of the Banach contraction theorem, Schauder’s fixed point theorem, and the nonlinear Leray-Schauder alternative. An example to illustrate the results is given.

AMS (MOS) Subject Classification. 26A33, 34A08, 34A60, 34B15

Key Words and Phrases. Existence results, Impulsive problems, Caputo-Hadamard Fractional
Equation, Integral boundary conditions.