Sumudu Transform Method for Solving Fractional Differential Equations and Fractional Diffusion-wave Equation


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.


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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


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