Analytic approximation of time-fractional diffusion-wave equation based on connection of fractional and ordinary calculus

H. Fallahgoul; S. M. Hashemiparasty

Analytic approximation of time-fractional diffusion-wave equation based on connection of fractional and ordinary calculus

H. Fallahgoul
, S. M. Hashemiparasty

Research output: Contribution to journal › Article › Research › peer-review

Abstract

In this paper, we present a connection between fractional and ordinary derivative, which can be used in various fields of science and engineering deal with dynamical systems for solving fractional ordinary and partial differential equations. Some examples are given to show ability of the method for solving the fractional nonlinear equations.

Original language	English
Pages (from-to)	1430-1443
Number of pages	14
Journal	Journal of Computational Analysis and Applications
Volume	15
Issue number	8
Publication status	Published - 2013
Externally published	Yes

Keywords

Diffusion equation
Fractional calculus
Fractional partial differential equation

Cite this

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title = "Analytic approximation of time-fractional diffusion-wave equation based on connection of fractional and ordinary calculus",

abstract = "In this paper, we present a connection between fractional and ordinary derivative, which can be used in various fields of science and engineering deal with dynamical systems for solving fractional ordinary and partial differential equations. Some examples are given to show ability of the method for solving the fractional nonlinear equations.",

keywords = "Diffusion equation, Fractional calculus, Fractional partial differential equation",

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T1 - Analytic approximation of time-fractional diffusion-wave equation based on connection of fractional and ordinary calculus

AU - Fallahgoul, H.

AU - Hashemiparasty, S. M.

PY - 2013

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N2 - In this paper, we present a connection between fractional and ordinary derivative, which can be used in various fields of science and engineering deal with dynamical systems for solving fractional ordinary and partial differential equations. Some examples are given to show ability of the method for solving the fractional nonlinear equations.

AB - In this paper, we present a connection between fractional and ordinary derivative, which can be used in various fields of science and engineering deal with dynamical systems for solving fractional ordinary and partial differential equations. Some examples are given to show ability of the method for solving the fractional nonlinear equations.

KW - Diffusion equation

KW - Fractional calculus

KW - Fractional partial differential equation

UR - https://www.scopus.com/pages/publications/84876831748

M3 - Article

AN - SCOPUS:84876831748

SN - 1521-1398

VL - 15

SP - 1430

EP - 1443

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 8

ER -

Analytic approximation of time-fractional diffusion-wave equation based on connection of fractional and ordinary calculus

Abstract

Keywords

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Cite this