Multi-term fractional oscillation integro-differential equations

被引:0
|
作者
Tran Dinh Phung
Dinh Thanh Duc
Vu Kim Tuan
机构
[1] University of Finance - Marketing,Department of Mathematics and Statistics
[2] Quy Nhon University,Department of Mathematics and Statistics
[3] University of West Georgia,Department of Computing and Mathematics
来源
Fractional Calculus and Applied Analysis | 2022年 / 25卷
关键词
Functions with square average power growth (primary); Laplace transform; Caputo fractional derivative; Riemann-Liouville fractional derivative; Fractional oscillation integro-differential equation; 44A10, 26A33 (primary); 45J05;
D O I
暂无
中图分类号
学科分类号
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:20
相关论文
共 50 条
  • [1] Multi-term fractional oscillation integro-differential equations
    Phung, Tran Dinh
    Duc, Dinh Thanh
    Tuan, Vu Kim
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2022, 25 (04) : 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,