Fractional green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics

Shaker Momani; Zaid M. Odibat

doi:10.1007/BF02832308

Fractional green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics

Shaker Momani
, Zaid M. Odibat

University of Mutah
Al-Balqa Applied University

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

50 Scopus citations

Abstract

This paper deals with the solutions of linear inhomogeneous time-fractional partial differential equations in applied mathematics and fluid mechanics. The fractional derivatives are described in the Caputo sense. The fractional Green function method is used to obtain solutions for time-fractional wave equation, linearized time-fractional Burgers equation, and linear time-fractional KdV equation. The new approach introduces a promising tool for solving fractional partial differential equations.

Original language	English
Pages (from-to)	167-178
Number of pages	12
Journal	Journal of Applied Mathematics and Computing
Volume	24
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02832308
State	Published - May 2007
Externally published	Yes

Keywords

Caputo derivative
Fractional Green function
Fractional differential equations
Wright function

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10.1007/BF02832308

Cite this

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abstract = "This paper deals with the solutions of linear inhomogeneous time-fractional partial differential equations in applied mathematics and fluid mechanics. The fractional derivatives are described in the Caputo sense. The fractional Green function method is used to obtain solutions for time-fractional wave equation, linearized time-fractional Burgers equation, and linear time-fractional KdV equation. The new approach introduces a promising tool for solving fractional partial differential equations.",

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N2 - This paper deals with the solutions of linear inhomogeneous time-fractional partial differential equations in applied mathematics and fluid mechanics. The fractional derivatives are described in the Caputo sense. The fractional Green function method is used to obtain solutions for time-fractional wave equation, linearized time-fractional Burgers equation, and linear time-fractional KdV equation. The new approach introduces a promising tool for solving fractional partial differential equations.

AB - This paper deals with the solutions of linear inhomogeneous time-fractional partial differential equations in applied mathematics and fluid mechanics. The fractional derivatives are described in the Caputo sense. The fractional Green function method is used to obtain solutions for time-fractional wave equation, linearized time-fractional Burgers equation, and linear time-fractional KdV equation. The new approach introduces a promising tool for solving fractional partial differential equations.

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KW - Fractional Green function

KW - Fractional differential equations

KW - Wright function

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Fractional green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics

Abstract

Keywords

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