Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives
Year: 2019
Author: Yuexiang Wu, Yanmei Huo, Huadong Liang
Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 129–138
Abstract
A class of nonlinear fractional differential equations with conformable fractional differential derivatives is studied. Firstly, Green's function and its properties are given. Secondly, some new existence and multiplicity conditions of positive solutions are obtained by the use of Leggett-Williams fixed-point theorems on cone.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2019.02.04
Communications in Mathematical Research , Vol. 35 (2019), Iss. 2 : pp. 129–138
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: conformable fractional derivative singular Green's function fractional differential equation