Three-Point Fractional h-sum Boundary Value Problems for Sequential Caputo Fractional h-sum-difference Equations

被引：2
|
作者：
Soontharanon, Jarunee [1 ]
Reunsumrit, Jiraporn [1 ]
Sitthiwirattham, Thanin [2 ]
机构：
[1] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Bangkok 10800, Thailand
[2] Suan Dusit Univ, Fac Sci & Technol, Math Dept, Bangkok 10700, Thailand
来源：
FILOMAT | 2017年 / 31卷 / 18期
关键词：
Fractional h-sum-difference equations; boundary value problem; existence; uniqueness; POSITIVE SOLUTIONS; EXISTENCE; NABLA; UNIQUENESS; CONVEXITY; CALCULUS; RIEMANN;
D O I：
10.2298/FIL1718727S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study an existence and uniqueness results for a sequential nonlinear Caputo fractional h-sum-difference equation with three-point fractional h-sum boundary conditions, by using the Banach contraction principle and the Schauder's fixed point theorem. Our problem contains different orders in three fractional difference operators and three fractional sums. Finally, we provide an example to displays the importance of these results.
引用
收藏
页码：5727 / 5742
页数：16
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