Existence and Uniqueness of Solutions for Fractional Dynamic Equations with Impulse Effects

被引:0
|
作者
Georgiev, Svetlin G. [1 ]
Akgol, Sibel Dogru [2 ]
机构
[1] Sorbonne Univ, Fac Math, Paris, France
[2] Cukurova Univ, Dept Math, Adana, Turkiye
关键词
fractional; dynamic equation; Riemann-Liouville operator; impulse effects; time scale; DIFFERENTIAL-EQUATIONS;
D O I
10.1515/ms-2024-0107
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of the study is to establish sufficient conditions to ensure the existence and uniqueness of solutions for nonlinear Riemann-Liouville fractional dynamic equations under impulse effects. The current state of the literature reveals a visible gap in the investigation of the existence-uniqueness aspects of such equations, and this research makes a significant contribution to filling this gap. To highlight the practical implications of our results, we present an illustrative example that exemplifies the applicability of the established conditions.
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页码:1477 / 1488
页数:12
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