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

页码：479 / 494

页数：16

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