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Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives

Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives
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摘要 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. 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.
出处 《Communications in Mathematical Research》 CSCD 2019年第2期129-138,共10页 数学研究通讯(英文版)
基金 The Innovation Foundation for College Teaching Team of Shanxi University of Finance and Economics 2015 Education and Teaching Reform Project(2015234) of Shanxi University of Finance and Economics
关键词 conformable FRACTIONAL DERIVATIVE SINGULAR Green's function FRACTIONAL DIFFERENTIAL EQUATION conformable fractional derivative singular Green's function fractional differential equation
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