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 sta...

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Hlavní autoři:	Qun Dai, Yunying Zhang
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	MDPI AG 2023-07-01
Edice:	Mathematics
Témata:	Caputo–Katugampola fractional derivative Gronwall inequality Banach fixed-point theorem Ulam–Hyers stability Ulam–Hyers–Rassias stability
On-line přístup:	https://www.mdpi.com/2227-7390/11/14/3082
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