IMANE Aouina

This study comprehensively investigates the existence, uniqueness, and stabilityof solutions for nonlinear fractional q-differential equations involving Hilfer-Katugampolaq-derivatives of moving orders. We apply the Banach contraction principle and Schauder’sfixed-point theorem to establish the existence of solutions. Furthermore, we examine thestability of the solutions using Ulam-Hyers theorems. Two detailed examples are providedto illustrate the practical applicability and validity of our theoretical results.

Citation

YACINE Arioua , Imane AOUINA , Bilal BASTI , , (2025-10-07), NONLINEAR FRACTIONAL Q-DIFFERENTIAL EQUATIONS INVOLVING HILFER-KATUGAMPOLA DERIVATIVES OFMOVING ORDERS, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, Vol:32, Issue:, pages:283-303, Watam Press