Adel Lachouri, Abdelouaheb Ardjouni, Nesrine Gouri, Kamel Ali Khelil

Caputo-Hadamard Fractional Differential Equations and Inclusions with Integral Boundary Conditions via Fixed Point Theory

abstract:
In this work, we study the uniqueness and existence results for higher order fractional differential inclusions and equations involving the Caputo-Hadamard fractional derivative subject to integral boundary conditions (IBCs). Our results are obtained via the fixed point theorems (FPTs) for multi- and single-valued analysis. An example demonstrating the effectiveness of the theoretical findings is presented.

Mathematics Subject Classification: 34A08, 34A12

Key words and phrases: Fractional differential equations, fractional differential inclusions, existence, uniqueness, integral boundary conditions, fixed point