Stability of Nonlinear Implicit Differential Equations with Caputo–Katugampola Fractional Derivative
Copyright policy )Stability of Nonlinear Implicit Differential Equations with Caputo–Katugampola Fractional Derivative
The purpose of this paper is to study nonlinear implicit differential equations with the Caputo–Katugampola fractional derivative. By using Gronwall inequality and Banach fixed-point theorem, the existence of the solution of the implicit equation is proved, and the relevant conclusions about the stability of Ulam–Hyers are obtained. Finally, the correctness of the conclusions is verified by an example.
- Changchun University of Science and Technology China (People's Republic of)
- Changsha University of Science and Technology China (People's Republic of)
Ulam–Hyers–Rassias stability, Gronwall inequality, Caputo–Katugampola fractional derivative, Banach fixed-point theorem, QA1-939, Ulam–Hyers stability, Mathematics, Caputo–Katugampola fractional derivative; Gronwall inequality; Banach fixed-point theorem; Ulam–Hyers stability; Ulam–Hyers–Rassias stability
Ulam–Hyers–Rassias stability, Gronwall inequality, Caputo–Katugampola fractional derivative, Banach fixed-point theorem, QA1-939, Ulam–Hyers stability, Mathematics, Caputo–Katugampola fractional derivative; Gronwall inequality; Banach fixed-point theorem; Ulam–Hyers stability; Ulam–Hyers–Rassias stability
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