MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE FRACTIONAL COUPLED PROBLEM WITH P-LAPLACIAN

Yi Wang; Lixin Tian; Minjie Dong

doi:10.11948/20220341

2023 Volume 13 Issue 3

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Yi Wang, Lixin Tian, Minjie Dong. MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE FRACTIONAL COUPLED PROBLEM WITH P-LAPLACIAN[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1535-1555. doi: 10.11948/20220341

Citation:

Yi Wang, Lixin Tian, Minjie Dong. MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE FRACTIONAL COUPLED PROBLEM WITH P-LAPLACIAN[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1535-1555. doi: 10.11948/20220341

MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE FRACTIONAL COUPLED PROBLEM WITH P-LAPLACIAN

1.
School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
2.
School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, China
3.
School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing 211816, China

Author Bio: Email: wangyistum@163.com(Y. Wang); Email: dongminjiepoppy@126.com(M. Dong)
Corresponding author: Email: tianlx@ujs.edu.cn(L. Tian)

Abstract

Abstract

In this paper, we look at a class of two-parameters coupled Kirchhoff-type fractional differential equations. Two differentiated methods are used to prove the existence of two solutions to the equation. The fundamental difference between the two methods is that the first provides asymptotic conditions for the non-linear terms on the right-hand side of the equation, while the second provides algebraic conditions; both methods combine substantial A-R conditions.
- Kirchhoff-type fractional equation /
- p-Laplacian operator /
- variational methods /
- critical point theory
MSC: 26A33, 35A15, 58E05

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