Extremal solutions for generalized Caputo fractional differential equations with Steiltjes-type fractional integro-initial conditions

被引：25
作者：
Alsaedi, Ahmed [1 ]
Ahmad, Bashir [1 ]
Alghanmi, Madeaha [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 91卷
关键词：
Differential equation; Caputo-type generalized fractional derivative; Steiltjes integral; Existence; Fixed point; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; DERIVATIVES; SYSTEM;
D O I：
10.1016/j.aml.2018.12.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a new fractional-order initial value problem involving a Caputo-type generalized fractional derivative and a Steiltjes type fractional integral. Extremal solutions for the given problem are obtained by monotone iterative method. An example illustrating the main result is presented. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：113 / 120
页数：8
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