A System of High-Order Fractional Differential Equations with Integral Boundary Conditions

被引：0
|
作者：
M. Sangi
S. Saiedinezhad
M. B. Ghaemi
机构：
[1] Iran University of Science and Technology,School of Mathematics
来源：
Journal of Nonlinear Mathematical Physics | 2023年 / 30卷
关键词：
Atangana-Baleanu-Caputo fractional derivative; Integral boundary condition; Measure of noncompactness; Fixed point theory; 26A33; 34A08; 47H08; 47H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The existence of a solution for a system of two nonlinear high-order fractional differential equations including the Atangana-Baleanu-Caputo derivative with integral boundary conditions, is proved. Simultaneously, we discuss the existence of a solution by applying the Schauder fixed point theorem and a generalized Darbo fixed point theorem, which involves the concept of measure of noncompactness. The paper also contains some examples that illustrate the application of the main result.
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页码：699 / 718
页数：19
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