Benkerrouche, AmarSouid, Mohammed SaidStamov, GaniStamova, Ivanka2022-11-102022-11-102022-11-10Axioms 11 (11): 634 (2022)https://hdl.handle.net/20.500.12588/1310In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo–Hadamard fractional derivative. The fundamental problems of existence and uniqueness of solutions are studied, and new existence and uniqueness results are established in the form of two fixed point theorems. In addition, Ulam–Hyers stability sufficient conditions are proved illustrating the suitability of the derived fundamental results. The obtained results are supported also by an example. Finally, the conclusion notes are highlighted.Attribution 4.0 United Stateshttps://creativecommons.org/licenses/by/4.0/Caputo-Hadamard fractional derivativevariable orderimpulsesexistence of solutionsuniquenessfixed point theoremUlam-Hyers stabilityArticle2022-11-10