EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SYSTEM OF NONLINEAR FRACTIONAL MULTI-POINT BOUNDARY VALUE PROBLEMS WITH <i>P</i> -LAPLACIAN OPERATOR

Wang Han; Jiqiang Jiang

doi:10.11948/20200021

2021 Volume 11 Issue 1

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Wang Han, Jiqiang Jiang. EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SYSTEM OF NONLINEAR FRACTIONAL MULTI-POINT BOUNDARY VALUE PROBLEMS WITH P -LAPLACIAN OPERATOR[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 351-366. doi: 10.11948/20200021

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Wang Han, Jiqiang Jiang. EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SYSTEM OF NONLINEAR FRACTIONAL MULTI-POINT BOUNDARY VALUE PROBLEMS WITH P -LAPLACIAN OPERATOR[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 351-366. doi: 10.11948/20200021

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SYSTEM OF NONLINEAR FRACTIONAL MULTI-POINT BOUNDARY VALUE PROBLEMS WITH P -LAPLACIAN OPERATOR

Wang Han¹,
Jiqiang Jiang^1, ,

School of Mathematical Sciences, Qufu Normal University, No.57 Jingxuan West Road, Qufu, Shandong 273165, China

Corresponding author: Email address:qfjjq@163.com(J. Jiang)
Fund Project: The authors were supported by the National Natural Science Foundation of China (11871302)

Abstract

Abstract

In this paper, we deal with a coupled system of nonlinear fractional multi-point boundary value problems with $ p $-Laplacian operator. The existence and multiplicity of positive solutions are obtained by employing Leray-Schauder alternative theory, Leggett-Williams fixed point theorem and Avery-Henderson fixed point theorem. As an application, two examples are given to illustrate the effectiveness of our main results.
- fractional differential system /
- p-Laplacian operator /
- coupled boundary conditions /
- fixed point theorem.
MSC: 26A33, 34B10, 34B15

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References

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