ON EXISTENCE OF SOLUTION FOR FRACTIONAL ORDER OSCILLATION/RELAXATION EQUATION

被引：0
|
作者：
Balachandar, S. R. [1 ]
Balasubramanian, K. [2 ]
Venkatesh, S. G. [1 ]
机构：
[1] Sastra Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur, India
[2] SASTRA Deemed Univ, Srinivasa Ramanujan Ctr, Dept Math, Kumbakonam, India
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷
关键词：
fractional differential equation; Caputo fractional derivative; Riemann-Liouville fractional integral operator; fractional oscillation equation; fractional relaxation equation; BOUNDARY-VALUE PROBLEM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the existence and uniqueness of solutions for gener-alized Oscillation / Relaxation equation in fractional order with initial conditions. Here, the Riemann-Liouville fractional integral operator is utilized to the express the fractional derivatives which are described in the sense of Caputo. We also use the Schauder fixed point theorem and Arzela Ascoli theorems and the Banach contraction principle to estab-lish the results. Finally, some numerical examples are provided to support the existence theorems.
引用
收藏
页码：119 / 125
页数：7
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