Differential equations of arbitrary order under Caputo-Fabrizio derivative: some existence results and study of stability-Reference-Cited by-同舟云学术

Differential equations of arbitrary order under Caputo-Fabrizio derivative: some existence results and study of stability

Published:2022 Issue:6 Volume:19 Page:6234-6251
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Maazouz Kadda¹,Rodríguez-López Rosana²³

Affiliation:

1. Department of Mathematics, University of Tiaret, Tiaret, Algeria

2. CITMAga, 15782 Santiago de Compostela, España

3. Departamento de Estatística, Análise Matemática e Optimización, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, España

Abstract

<abstract><p>In this work, we consider the problem of the existence and uniqueness of solution, and also the simple existence of solution, for implicit differential equations of arbitrary order involving Caputo-Fabrizio derivative. The main tools for this study are contraction mapping principle and Schaefer's fixed point result. We also study the stability of the equations in the sense of Ulam-Hyers and also from the perspective of Ulam-Hyers-Rassias.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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