Abstract
In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with pLaplacian operator. We also study the uniqueness and Hyers-Ulam stability (HU-stability) for the solutions of the presumed mABC-FDEs system. For the recently developed mABC-operator, such a problem has not yet studied also our problem is more general than those in the available literature. (c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).