Particular Solution of Linear Sequential Fractional Differential equation with Constant Coefficients by Inverse Fractional Differential Operators

被引：9
|
作者：
Khalaf S.L. [1 ]
Khudair A.R. [1 ]
机构：
[1] Department of Mathematics, Faculty of Science, Basrah University, Basrah
来源：
Differential Equations and Dynamical Systems | 2017年 / 25卷 / 3期
关键词：
Fractional differential equations; Inverse differential operators; Inverse fractional differential operators; Jumarie’s fractional derivation; Riemann–Liouville derivative;
D O I：
10.1007/s12591-017-0364-8
中图分类号：
学科分类号：
摘要：
This paper adopts the inverse fractional differential operator method for obtaining the explicit particular solution to a linear sequential fractional differential equation, involving Jumarie’s modification of Riemann–Liouville derivative, with constant coefficient s. This method depends on the classical inverse differential operator method and it is independent of the integral transforms. Several examples are then given to demonstrate the validity of our main results. © 2017, Foundation for Scientific Research and Technological Innovation.
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页码：373 / 383
页数：10
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