Existence and Properties of Solutions for a Class of Fractional Differential Equations

In this paper, we consider the initial value problem of a class of fractional differential equations. Firstly, we obtain the existence and uniqueness of the solutions by using Picard’s method of successive approximation. Then we discuss the dependence of the solutions on the initial value.

Saved in:
Bibliographic Details
Published in:Acta Mathematicae Applicatae Sinica 2021-07, Vol.37 (3), p.477-484
Main Authors: Xu, Yong-qiang, Chen, Shu-hong, Tan, Zhong
Format: Article
Language:English
Subjects:
Applications of Mathematics
Approximation
Boundary value problems
Differential equations
Math Applications in Computer Science
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we consider the initial value problem of a class of fractional differential equations. Firstly, we obtain the existence and uniqueness of the solutions by using Picard’s method of successive approximation. Then we discuss the dependence of the solutions on the initial value.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-021-1025-9