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

页码：1713 / 1733

页数：21

共 50 条

[1] Multi-term fractional oscillation integro-differential equations
Tran Dinh Phung
Dinh Thanh Duc
Vu Kim Tuan
Fractional Calculus and Applied Analysis, 2022, 25 : 1713 - 1733
[2] Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations
Baleanu, Dumitru
Nazemi, Sayyedeh Zahra
Rezapour, Shahram
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[3] Multi-term fractional integro-differential equations in power growth function spaces
Vu Kim Tuan
Dinh Thanh Duc
Tran Dinh Phung
Fractional Calculus and Applied Analysis, 2021, 24 : 739 - 754
[4] MULTI-TERM FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS IN POWER GROWTH FUNCTION SPACES
Vu Kim Tuan
Dinh Thanh Duc
Tran Dinh Phung
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021, 24 (03) : 739 - 754
[5] Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations
Dumitru Baleanu
Sayyedeh Zahra Nazemi
Shahram Rezapour
Advances in Difference Equations, 2013
[6] MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH GENERALIZED NONLOCAL FRACTIONAL INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS
Ahmad, Bashir
Ntouyas, Sotiris K.
Alsaedi, Ahmed
Alghanmi, Madeaha
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2018,
[7] Spline Collocation for Multi-Term Fractional Integro-Differential Equations with Weakly Singular Kernels
Pedas, Arvet
Vikerpuur, Mikk
FRACTAL AND FRACTIONAL, 2021, 5 (03)
[8] Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral
Yong-Suk Kang
Son-Hyang Jo
Mathematical Sciences, 2024, 18 : 91 - 106
[9] Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral
Kang, Yong-Suk
Jo, Son-Hyang
MATHEMATICAL SCIENCES, 2024, 18 (01) : 91 - 106
[10] Optimal controls for multi-term fractional stochastic integro-differential equations with impulses and infinite delay
Ansari, Shahin
Malik, Muslim
Dhayal, Rajesh
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2024,

← 1 2 3 4 5 →