Stability of Nonlinear Implicit Differential Equations with Caputo–Katugampola Fractional Derivative

نویسندگان

چکیده

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, existence solution equation proved, relevant conclusions about stability Ulam–Hyers are obtained. Finally, correctness verified by an example.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11143082