Solutions for non-autonomous fractional integrodifferential equations with delayed force term

被引:0
|
作者
Mishra, Kamla Kant [1 ]
Dubey, Shruti [1 ]
机构
[1] Indian Inst Technol Madras, Dept Math, Chennai 600036, India
来源
关键词
Caputo fractional derivative; Nonlinear evolution fractional differential equation; Nonlocal conditions; Mild solution; Existence and uniqueness theorems; FUNCTIONAL-DIFFERENTIAL EQUATIONS; APPROXIMATE CONTROLLABILITY; EVOLUTION-EQUATIONS; MILD SOLUTIONS; GLOBAL EXISTENCE; ORDER; SYNCHRONIZATION; STABILITY; SYSTEMS;
D O I
10.1007/s41478-024-00837-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we establish the existence of local and global mild solutions for a class of nonlinear delay fractional integrodifferential equations in Banach space. It is also demonstrated that a local mild solution to the problem is unique. The findings are based on fractional calculus, resolvent operator theory, Banach contraction mapping, and fixed point techniques. A few examples are established at the end to show the effectiveness of the proposed results.
引用
收藏
页数:23
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