Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator

Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator

Abstract In this paper, we investigate the multiplicity results of some positive solutions for a system of Hadamard fractional differential equations with parameters and p-Laplacian operator subject to three-point boundary conditions which contains fractional derivatives. The proofs of our main resu...

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Bibliographic Details
Main Authors: Sabbavarapu Nageswara Rao, Manoj Singh, M. Zico Meetei
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Boundary Value Problems
Subjects:
Hadamard fractional equation
Green function
Positive solution
Fixed point theorem
Cone
Online Access:http://link.springer.com/article/10.1186/s13661-020-01341-4
Description
Summary:Abstract In this paper, we investigate the multiplicity results of some positive solutions for a system of Hadamard fractional differential equations with parameters and p-Laplacian operator subject to three-point boundary conditions which contains fractional derivatives. The proofs of our main result, multiplicity of positive solutions, are derived in terms of different values of parameters by using Guo–Krasnosel’skii’s fixed point theorem.
ISSN:1687-2770

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