Coupled fractional differential equations involving Caputo-Hadamard derivative with nonlocal boundary conditions

被引：16
|
作者：
Nain, Ankit [1 ]
Vats, Ramesh [1 ]
Kumar, Avadhesh [2 ]
机构：
[1] Natl Inst Technol, Dept Math & Sci Comp, Hamirpur, India
[2] Sri Sathya Sai Inst Higher Learning, Dept Math & Comp Sci, Prasanthinilayam 515134, Andhra Pradesh, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 05期
关键词：
boundary value problem; Caputo– Hadamard fractional derivative; coupled; fixed point theorem; EXISTENCE; STABILITY;
D O I：
10.1002/mma.7024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper aims to study the sufficient conditions for the existence and uniqueness of solutions to the multipoint coupled boundary value problem of nonlinear Caputo-Hadamard fractional differential equations associating with nonlocal integral boundary conditions. The required conditions are obtained by using classical results of functional analysis and fixed point theory. Furthermore, the Hyers-Ulam stability of solutions is discussed, and sufficient conditions for the stability are developed. Obtained results are supported by examples and illustrated in the last section.
引用
收藏
页码：4192 / 4204
页数：13
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