Sumudu Transform Method for Solving Fractional Differential Equations and Fractional Diffusion-wave Equation
-
2397
Downloads
-
3423
Views
Authors
R. Darzi
- Department of Mathematics, Islamic Azad University Neka Branch, Neka, Iran.
B. Mohammadzade
- Department of Mathematics, Islamic Azad University Sari Branch, Sari, Iran.
S. Mousavi
- Department of Mathematics, University of Mazandaran Babolsar, Iran.
R. Beheshti
- Department of Mathematics, University of Mazandaran Babolsar, Iran.
Abstract
In this paper, we obtain the solutions of a cauchy problems for differential equations with the Caputo fractional derivative and the solution of fractional Diffusion-Wave equation by using Sumudu transform techniques. The results presented here are in compact and elegant expressed in term of Mittag-Leffler function and generalized Mittag-Leffler function which are suitable for numerical computation.
Share and Cite
ISRP Style
R. Darzi, B. Mohammadzade, S. Mousavi, R. Beheshti, Sumudu Transform Method for Solving Fractional Differential Equations and Fractional Diffusion-wave Equation, Journal of Mathematics and Computer Science, 6 (2013), no. 1, 79-84
AMA Style
Darzi R., Mohammadzade B., Mousavi S., Beheshti R., Sumudu Transform Method for Solving Fractional Differential Equations and Fractional Diffusion-wave Equation. J Math Comput SCI-JM. (2013); 6(1):79-84
Chicago/Turabian Style
Darzi, R., Mohammadzade, B., Mousavi, S., Beheshti, R.. "Sumudu Transform Method for Solving Fractional Differential Equations and Fractional Diffusion-wave Equation." Journal of Mathematics and Computer Science, 6, no. 1 (2013): 79-84
Keywords
- Sumudu transform
- Fractional differential equation
- Diffusion-Wave equation.
MSC
References
-
[1]
G. K. Watugala, , Int. J. Math. Edu. Sci. Tech., 24 (1) (1993), 35
-
[2]
G. K. Watugala, , Math. Eng. Industry., 6 (4) (1998), 319
-
[3]
G. K. Watugala, , Math. Eng. Industry, 8 (4) (2002), 293
-
[4]
M. A. Asiru, , Int. J. Math. Edu. Sci. Tech., 33 (3) (2002), 441
-
[5]
F. M. Belgacem, A. A. Karaballi, S. L. Kalla, , Math. Prob. Eng., 3 (2003), 103
-
[6]
S. Weerakoon, , Int. J. Math. Edu. Sci. Tech., 25 (2) (1994), 227
-
[7]
S. Weerakoon, , Int. J. Math. Edu. Sci. Tech., 29 (4) (1998), 618
-
[8]
V. B. Chaurasia, J. Singh, , Appl. Math. Sci., 57 (4) (2010), 2843
-
[9]
A. Kilicman, H. Eltayeb, R. P. Agarwal, , Abs. Appl. Anal, Article ID: 598702, (2010), 11 pages
-
[10]
K. S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York (1993)
-
[11]
I. Podlubny, Fractional differential equations, Academic Press, San Diego, CA (1999)
-
[12]
S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach, Yverdon (1993)
-
[13]
R. Darzi, A. Neamaty, Y. Darzi, B. Mohammadzadeh, , J. Math. Comput. Sci (TJMCS), 4 (1) (2012), 102