On definition of solution of initial value problem for fractional differential equation of variable order

We propose a new definition of continuous approximate solution to initial value problem for differential equations involving variable order Caputo fractional derivative based on the classical definition of solution of integer order (or constant fractional order) differential equation. Some examples...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 7; pp. 6845 - 6867
Main Authors Zhang, Shuqin, Wang, Jie, Hu, Lei
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
approximate solution
fractional differential equations
initial value problem
variable order caputo fractional derivative
variable order fractional integral
Online AccessGet full text

Cover

More Information
Summary:We propose a new definition of continuous approximate solution to initial value problem for differential equations involving variable order Caputo fractional derivative based on the classical definition of solution of integer order (or constant fractional order) differential equation. Some examples are presented to illustrate these theoretical results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021401