On solutions of linear fractional differential equations and systems thereof

Khongorzul Dorjgotov, Hiroyuki Ochiai, Uuganbayar Zunderiya

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)479-494
Number of pages16
JournalFractional Calculus and Applied Analysis
Volume22
Issue number2
DOIs
Publication statusPublished - Apr 24 2019

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Wright Function
Invariant Solutions
H-function
Fractional Differential Equation
Generalized Functions
Linear differential equation
Differential System
Diffusion equation
Wave equation
Differential equations
Exact Solution
Wave equations
Class

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

On solutions of linear fractional differential equations and systems thereof. / Dorjgotov, Khongorzul; Ochiai, Hiroyuki; Zunderiya, Uuganbayar.

In: Fractional Calculus and Applied Analysis, Vol. 22, No. 2, 24.04.2019, p. 479-494.

Research output: Contribution to journalArticle

Dorjgotov, Khongorzul ; Ochiai, Hiroyuki ; Zunderiya, Uuganbayar. / On solutions of linear fractional differential equations and systems thereof. In: Fractional Calculus and Applied Analysis. 2019 ; Vol. 22, No. 2. pp. 479-494.
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