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

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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

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

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Publisher
Springer Journals
Copyright
Copyright © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2021
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-021-1025-9
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Aug 5, 2021

Keywords: existence; uniqueness; fractional derivative equations; 35L15; 35L70; 35B33; 34B44

References