Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative
Chaimaa Benzarouala, Cemil Tunç
Abstract
This paper is devoted to the study of Hyers–Ulam–Rassias (HUR) stability of a nonlinear Caputo fractional delay differential equation (CFrDDE) with multiple variable time delays. We obtain two new theorems with regard to HUR stability of the CFrDDE on bounded and unbounded intervals. The method of the proofs is based on the fixed point approach. The HUR stability results of this paper have indispensable contributions to theory of Ulam stabilities of CFrDDEs and some earlier results in the literature.
Topics & Concepts
MathematicsFractional calculusStability (learning theory)Derivative (finance)Applied mathematicsDifferential equationMathematical analysisPure mathematicsFinancial economicsMachine learningComputer scienceEconomicsFunctional Equations Stability ResultsFractional Differential Equations SolutionsNumerical methods for differential equations