On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative

Xiaoping Li; Dexin Chen; Xiaoping Li; Dexin Chen

doi:10.3934/math.2021792

AIMS Mathematics

2021, Volume 6, Issue 12: 13622-13633. doi: 10.3934/math.2021792

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On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative

Xiaoping Li ¹,
Dexin Chen ^{2
,
,}

1.
School of Mathematics and Imformation Science, Xiangnan University, Chenzhou, 423000, Hunan, China
2.
Department of Civil and Environmental Engineering, University of Alberta, Edmonton, T6G 2W2, Alberta, Canada

Received: 01 August 2021 Accepted: 17 September 2021 Published: 26 September 2021
MSC : 47H08, 47H10

The solvability of some $ p $-Laplace boundary value problems with Caputo fractional derivative are discussed. By using the fixed-point theory and analysis techniques, some existence results of one or three non-negative solutions are obtained. Two examples showed that the conditions used in this paper are somewhat easy to check.
- solvability,
- boundary value problem,
- caputo fractional derivative,
- fixed point theorem
Citation: Xiaoping Li, Dexin Chen. On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative[J]. AIMS Mathematics, 2021, 6(12): 13622-13633. doi: 10.3934/math.2021792

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Abstract

The solvability of some $ p $-Laplace boundary value problems with Caputo fractional derivative are discussed. By using the fixed-point theory and analysis techniques, some existence results of one or three non-negative solutions are obtained. Two examples showed that the conditions used in this paper are somewhat easy to check.

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