Existence results for nonlinear Hilfer and Caputo fractional differential equations with separated boundary conditions in Banach spaces

A. Lachouri, A. Ardjouni

In this paper, we study the existence of solutions for nonlinear Hilfer and Caputo fractional differential equations with separated boundary conditions by using measure of noncompactness combined with fixed point theorem of Mönch. An example illustrating the effectiveness of the theoretical results is presented. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(3) (2025), pp. 109-120