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

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英文篇名：Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives 作者：WU ; YUE-XIANG ; HUO ; YAN-MEI ; LIANG ; HUA-DONG 英文作者：WU YUE-XIANG;HUO YAN-MEI;LIANG HUA-DONG;Department of Applied Mathematics, Shanxi University of Finance and Economics;College of Economics, Shanxi University of Finance and Economics; 英文关键词：conformable fractional derivative;;singular Green's function;;fractional differential equation 中文刊名：DBSX 英文刊名：数学研究通讯(英文版) 机构：Department of Applied Mathematics, Shanxi University of Finance and Economics;College of Economics, Shanxi University of Finance and Economics; 出版日期：2019-05-08 出版单位：Communications in Mathematical Research 年：2019 期：v.35 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 语种：英文; 页：DBSX201902004 页数：10 CN：02 ISSN：22-1396/O1 分类号：35-44

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.

引文

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