Multi-term fractional oscillation integro-differential equations

被引：2
|
作者：
Phung, Tran Dinh [1 ]
Duc, Dinh Thanh [2 ]
Tuan, Vu Kim [3 ]
机构：
[1] Univ Finance Mkt, Dept Math & Stat, Ho Chi Minh City, Vietnam
[2] Quy Nhon Univ, Dept Math & Stat, Binh Dinh, Vietnam
[3] Univ West Georgia, Dept Comp & Math, Carrollton, GA 30118 USA
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2022年 / 25卷 / 04期
关键词：
Functions with square average power growth (primary); Laplace transform; Caputo fractional derivative; Riemann-Liouville fractional derivative; Fractional oscillation integro-differential equation; DIFFERENTIAL-EQUATIONS;
D O I：
10.1007/s13540-022-00074-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study solvability of multi-term Caputo and Riemann-Liouville fractional oscillation integro-differential equations. We show that these equations have unique solutions in the space of functions with square average power growth and derive the solutions in explicit forms.
引用
收藏
页码：1713 / 1733
页数：21
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