Differential equation with fractional derivative and nonconstant coefficients

被引:1
作者
Stankovic, B [1 ]
机构
[1] Univ Novi Sad, Inst Math, YU-21000 Novi Sad, Yugoslavia
关键词
differential equation; fractional derivative; hyperfunctions;
D O I
10.1080/10652460213747
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a differential equation of the second order, with fractional derivative and nonconstant coefficients we find a solution for the initial value problem, using Laplace transform of hyperfunctions.
引用
收藏
页码:489 / 496
页数:8
相关论文
共 50 条
[31]   An analog of the Bitsadze-Samarskii problem for a mixed type equation with a fractional derivative [J].
Kilbas, AA ;
Repin, OA .
DIFFERENTIAL EQUATIONS, 2003, 39 (05) :674-680
[32]   Exact Solutions of Fractional Order Oscillation Equation with Two Fractional Derivative Terms [J].
Jun-Sheng Duan ;
Jun-Yan Zhang ;
Xiang Qiu .
Journal of Nonlinear Mathematical Physics, 2023, 30 :531-552
[33]   Exact Solutions of Fractional Order Oscillation Equation with Two Fractional Derivative Terms [J].
Duan, Jun-Sheng ;
Zhang, Jun-Yan ;
Qiu, Xiang .
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (02) :531-552
[34]   Meromorphic Solutions of a Differential Equation with Polynomial Coefficients [J].
Gary G. Gundersen .
Computational Methods and Function Theory, 2008, 8 (1) :1-14
[35]   Nonlinear differential equations with the caputo fractional derivative in the space of continuously differentiable functions [J].
Kilbas, AA ;
Marzan, SA .
DIFFERENTIAL EQUATIONS, 2005, 41 (01) :84-89
[36]   Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions [J].
A. A. Kilbas ;
S. A. Marzan .
Differential Equations, 2005, 41 :84-89
[37]   A novel graph-operational matrix method for solving multidelay fractional differential equations with variable coefficients and a numerical comparative survey of fractional derivative types [J].
Kurkcu, Omur Kivanc ;
Aslan, Ersin ;
Sezer, Mehmet .
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (01) :373-392
[38]   Analysis of implicit differential equations via ψ-fractional derivative [J].
Harikrishnan, S. ;
Elsayed, E. M. ;
Kanagarajan, K. .
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2020, 23 (07) :1251-1262
[39]   Existence theory of fractional coupled differential equations via ψ-Hilfer fractional derivative [J].
Harikrishnan, Sugumaran ;
Shah, Kamal ;
Kanagarajan, Kuppusamy .
RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2019, 27 (04) :207-212
[40]   Fractional Integral Inequalities and Their Applications to Degenerate Differential Equations with the Caputo Fractional Derivative [J].
A. N. Artyushin .
Siberian Mathematical Journal, 2020, 61 :208-221