The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative | Zendy

Shuyi Wang | Zendy

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The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative

Author(s) -

Shuyi Wang

Publication year - 2022

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2022/7268518

Subject(s) - mathematics , fixed point theorem , uniqueness , fractional calculus , banach fixed point theorem , picard–lindelöf theorem , stability (learning theory) , differential equation , mathematical analysis , boundary value problem , banach space , machine learning , computer science

The aim of this paper is to establish the Ulam stability of the Caputo-Fabrizio fractional differential equation with integral boundary condition. We also present the existence and uniqueness results of the solution for the Caputo-Fabrizio fractional differential equation by Krasnoselskii’s fixed point theorem and Banach fixed point theorem. Some examples are provided to illustrate our theorems.

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