Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations

• 作者: Xingyue Jian
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Boundary Value Problems Conformable FRACTIONAL Differential Equations The Method of COUPLED Upper and Lower SOLUTION COUPLED SOLUTION MONOTONE ITERATION
• 年，卷（期）: 2019,（1）
• 页码范围: 233-242
• 页数: 10页
• 分类号: O1

摘要

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.