Solutions of some typical nonlinear differential equations with Caputo-Fabrizio fractional derivative-Reference-Cited by-同舟云学术

Solutions of some typical nonlinear differential equations with Caputo-Fabrizio fractional derivative

Published:2022 Issue:8 Volume:7 Page:14139-14153
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Cui Zhoujin¹²

Affiliation:

1. School of Economics and Management, Jiangsu Maritime Institute, Nanjing 211170, China

2. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Abstract

<abstract><p>In this paper, the solutions of some typical nonlinear fractional differential equations are discussed, and the implicit analytical solutions are obtained. The fractional derivative concerned here is the Caputo-Fabrizio form, which has a nonsingular kernel. The calculation results of different fractional orders are compared through images. In addition, by comparing the results obtained in this paper with those under Caputo fractional derivative, it is found that the solutions change relatively gently under Caputo-Fabrizio fractional derivative. It can be concluded that the selection of appropriate fractional derivatives and appropriate fractional order is very important in the modeling process.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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