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www.T-Science.org       p-ISSN 2308-4944 (print)       e-ISSN 2409-0085 (online)
SOI: 1.1/TAS         DOI: 10.15863/TAS

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ISJ Theoretical & Applied Science 10(66) 2018

Philadelphia, USA

* Scientific Article * Impact Factor 6.630


Abdirashidov, A., Ortikov, B., Kadirov, N., & Abdurashidov, A.

Solution of fractional telegraph and diffusion equations using the approximation methods.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-10-66-4

DOI: https://dx.doi.org/10.15863/TAS.2018.10.66.4

Language: Russian

Citation: Abdirashidov, A., Ortikov, B., Kadirov, N., & Abdurashidov, A. (2018). Solution of fractional telegraph and diffusion equations using the approximation methods. ISJ Theoretical & Applied Science, 10 (66), 30-36. Soi: http://s-o-i.org/1.1/TAS-10-66-4 Doi: https://dx.doi.org/10.15863/TAS.2018.10.66.4

Pages: 30-36

Published: 30.10.2018

Abstract: In this paper, variational iteration method, Adomian decomposition method and method of separation of variables has been applied to obtain exact solutions of fractional telegraph and diffusion equations. It is shown that these methods are effective and more powerful mathematical tools for solution of the partial differential equations of a fractional order.

Key words: equations of telegraph and diffusion of fractional order, variational iteration method, Adomian decomposition method, method of separation of variables, exact solutions.


 

 

 

 

 

 

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