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

Authors

  • Yuexiang Wu College of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, 030006
  • Yanmei Huo College of Economics, Shanxi University of Finance and Economics, Taiyuan, 030006
  • Huadong Liang Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, 030006

DOI:

https://doi.org/10.13447/j.1674-5647.2019.02.04

Keywords:

conformable fractional derivative, singular Green's function, fractional differential equation

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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Published

2019-12-16

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Issue

Vol. 35 No. 2 (2019)

Section

Articles

How to Cite

Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives. (2019). Communications in Mathematical Research, 35(2), 129-138. https://doi.org/10.13447/j.1674-5647.2019.02.04