EXISTENCE OF SOLUTIONS FOR A COUPLED SYSTEM OF CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH <i>P</i>-LAPLACIAN OPERATOR

Wenchao Sun; Youhui Su; Xiaoling Han

doi:10.11948/20210384

2022 Volume 12 Issue 5

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Wenchao Sun, Youhui Su, Xiaoling Han. EXISTENCE OF SOLUTIONS FOR A COUPLED SYSTEM OF CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1885-1900. doi: 10.11948/20210384

Citation:

Wenchao Sun, Youhui Su, Xiaoling Han. EXISTENCE OF SOLUTIONS FOR A COUPLED SYSTEM OF CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR[J]. Journal of Applied Analysis & Computation, 2022, 12(5): 1885-1900. doi: 10.11948/20210384

EXISTENCE OF SOLUTIONS FOR A COUPLED SYSTEM OF CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR

1.
School of Mathematics and Statistics, Xuzhou University of Technology, Lishui Road, Xuzhou 221018, Xuzhou, China
2.
College of Science, Shenyang University of Technology, Shenliao Road, Shenyang 110870, China
3.
College of Mathematics and Statistics, Northwest Normal University, Anning East Road, Lanzhou 730070, China

Corresponding author: Email address: suyh02@163.com(Y. Su)

Abstract

Abstract

In this paper, by using the Schauder fixed point theorem and Banach contraction mapping principle, the existence and uniqueness of solutions for a coupled system of Caputo-Hadamard fractional differential equations with $ p $-Laplacian operator are established. As applications, two examples are given to illustrate the main results. The interesting point of this article is that the boundary value conditions contain integrals, and the approximate solutions are given by using the iterative method.
- Coupled system /
- p-Laplacian operator /
- lterative method /
- simulation
MSC: 34A08, 34B15

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References

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