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.