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Qiao, Y. and Zhou, Z.F. (2017) Existence of Solutions for a Class of Fractional Differential Equations with Integral and Anti-Periodic Boundary Conditions. Qiao and Zhou Boundary Value Problems, 1-9.

has been cited by the following article:

• TITLE: Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations

  AUTHORS: Xingyue Jian

  KEYWORDS: Boundary Value Problems, Conformable Fractional Differential Equations, The Method of Coupled Upper and Lower Solution, Coupled Solution, Monotone Iteration

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.1, January 29, 2019

  ABSTRACT: In this paper, we study a class of boundary value problems for conformable fractional differential equations under a new definition. Firstly, by using the monotone iterative technique and the method of coupled upper and lower solution, the sufficient condition for the existence of the boundary value problem is obtained, and the range of the solution is determined. Then the existence and uniqueness of the solution are proved by the proof by contradiction. Finally, a concrete example is given to illustrate the wide applicability of our main results.