Existence and uniqueness of nonlinear fractional differential equations with the Caputo and the Atangana-Baleanu derivatives: Maximal, minimal and Chaplygin approaches

Existence and uniqueness of nonlinear fractional differential equations with the Caputo and the Atangana-Baleanu derivatives: Maximal, minimal and Chaplygin approaches

This work provided a detailed theoretical analysis of fractional ordinary differential equations with Caputo and the Atangana-Baleanu fractional derivative. The work started with an extension of Tychonoff's fixed point and the Perron principle to prove the global existence with extra conditions...

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Bibliographic Details
Main Author: Abdon Atangana
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:AIMS Mathematics
Subjects:
fractional nonlinear differential equations
caputo and atangana-baleanu derivatives
maximal and minimal principle
chaplygin existence and uniqueness
perron principle
Online Access:https://aimspress.com/article/doi/10.3934/math.20241282?viewType=HTML
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