Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias
Abdellatif Ben Makhlouf, El‐sayed El‐hady, Hassen Arfaoui, Salah Boulaaras, Lassaad Mchiri
Abstract
In this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam-Hyers-Rassias (UHR) stability of some generalized FDEs according to some classical mathematical techniques and the FPT. Finally, two illustrative examples are presented to show the validity of our results.
Topics & Concepts
MathematicsUniquenessStability (learning theory)Ordinary differential equationFixed pointApplied mathematicsMathematical analysisDifferential equationPure mathematicsComputer scienceMachine learningFunctional Equations Stability ResultsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis