Positive Solutions for a Hadamard Fractional p -Laplacian Three-Point Boundary Value Problem

Jiqiang Jiang, Donal O’Regan, Jiafa Xu and Yujun Cui
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Jiqiang Jiang: School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
Donal O’Regan: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 TK33 Galway, Ireland
Jiafa Xu: School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
Yujun Cui: State Key Laboratory of Mining Disaster Prevention and Control Co-Founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, China

Mathematics, 2019, vol. 7, issue 5, 1-20

Abstract: This article is to study a three-point boundary value problem of Hadamard fractional p -Laplacian differential equation. When our nonlinearity grows ( p ? 1 ) -superlinearly and ( p ? 1 ) -sublinearly, the existence of positive solutions is obtained via fixed point index. Moreover, using an increasing operator fixed-point theorem, the uniqueness of positive solutions and uniform convergence sequences are also established.

Keywords: hadamard fractional differential equations; p -Laplacian boundary value problems; positive solutions; fixed point index (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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