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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Egile Nagusiak:	Qun Dai, Yunying Zhang
Formatua:	Artigo
Hizkuntza:	Inglês
Argitaratua:	MDPI AG 2023-07-01
Saila:	Mathematics
Gaiak:	Caputo–Katugampola fractional derivative Gronwall inequality Banach fixed-point theorem Ulam–Hyers stability Ulam–Hyers–Rassias stability
Sarrera elektronikoa:	https://www.mdpi.com/2227-7390/11/14/3082
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