A study on the existence results of boundary value problems of fractional relaxation integro-differential equations with impulsive and delay conditions in Banach spaces

被引:3
作者
Chasreechai, Saowaluck [1 ,2 ]
Poornima, Sadhasivam [3 ]
Karthikeyann, Panjaiyan [3 ]
Karthikeyan, Kulandhaivel [4 ]
Kumar, Anoop [5 ]
Kaushik, Kirti [5 ]
Sitthiwirattham, Thanin [2 ,6 ]
机构
[1] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Bangkok 10800, Thailand
[2] King Mongkuts Univ Technol North Bangkok, Sci & Technol Res Inst, Res Grp Fract Calculus Theory & Applicat, Bangkok 10800, Thailand
[3] Sri Vasavi Coll, Dept Math, Erode 638136, India
[4] KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India
[5] Cent Univ Punjab, Dept Math & Stat, Bathinda, Punjab, India
[6] Suan Dusit Univ, Fac Sci & Technol, Math Dept, Bangkok 10300, Thailand
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 05期
关键词
Riemann-Liouville fractional derivative; fractional relaxation impulsive integro; di fferential equations; Liouville-Caputo fractional derivative; existence; uniqueness; delay; fixed point; UNIQUENESS;
D O I
10.3934/math.2024563
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper was to provide systematic approaches to study the existence of results for the system fractional relaxation integro-differential equations. Applied problems require definitions of fractional derivatives, allowing the utilization of physically interpretable boundary conditions. Impulsive conditions serve as basic conditions to study the dynamic processes that are subject to sudden changes in their state. In the process, we converted the given fractional differential equations into an equivalent integral equation. We constructed appropriate mappings and employed the Schaefer's fixed-point theorem and the Banach fixed-point theorem to show the existence of a unique solution. We presented an example to show the applicability of our results.
引用
收藏
页码:11468 / 11485
页数:18
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