ON SOLUTIONS OF LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS AND SYSTEMS THEREOF

被引：2
|
作者：
Dorjgotov, Khongorzul [1 ,4 ]
Ochiai, Hiroyuki [2 ]
Zunderiya, Uuganbayar [3 ,4 ]
机构：
[1] Natl Univ Mongolia, Dept Appl Math, Ulaanbaatar, Mongolia
[2] Kyushu Univ, Inst Math Ind, Fukuoka, Japan
[3] Natl Univ Mongolia, Dept Math, Ulaanbaatar, Mongolia
[4] Natl Univ Mongolia, Ctr Math Applicat, Ulaanbaatar, Mongolia
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2019年 / 22卷 / 02期
关键词：
fractional differential equations; exact solutions; generalized Wright function; Fox H-function; CALCULUS;
D O I：
10.1515/fca-2019-0028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive exact solutions to classes of linear fractional differential equations and systems thereof expressed in terms of generalized Wright functions and Fox H-functions. These solutions are invariant solutions of diffusion-wave equations obtained through certain transformations, which are briefly discussed. We show that the solutions given in this work contain previously known results as particular cases.
引用
收藏
页码：479 / 494
页数：16
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