Existence and simulation of positive solutions for <i>m</i>-point fractional differential equations with derivative terms-Reference-Cited by-同舟云学术

Existence and simulation of positive solutions for m-point fractional differential equations with derivative terms

Published:2021-01-01 Issue:1 Volume:19 Page:1820-1846
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Sun Wenchao¹²,Su You-Hui²,Sun Ai²,Zhu Quanxing³

Affiliation:

1. College of Science, Shenyang University of Technology , Shenyang 110870 , Liaoning , China

2. School of Mathematics and Statistics, Xuzhou University of Technology , Xuzhou 221018 , Jiangsu , China

3. School of Mathematics and Statistics, Hunan Normal University , Changsha , Hunan 410081 , China

Abstract

Abstract In this article, we investigate the existence of positive solutions for a class of

-point fractional differential equations whose nonlinear terms involve derivatives. By using the properties of the Green function and fixed point theorems, some new conditions for the existence of at least one, two, three, and

2 n − 1

2n-1

positive solutions are established. As verification, some simulation examples are given to illustrate the main results. It is worth mentioning that we study the

-point fractional differential equations with nonlinear terms involving derivative and use the iterative method to simulate our examples and give the approximate solution.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0131/pdf

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