Research Article

Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method

Number: 22 March 26, 2018
EN

Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method

Abstract

The telegraph equations are a pair of linear differential equations which describe the voltage and current on an electrical transmission line with distance and time. In this paper the authors give a brief overview of fractional calculus and extend its application to space-time fractional telegraph equation by using Adomian decomposition method. The time- space derivates are considered as Caputo fractional derivate. The solutions are obtained in the series form. 

Keywords

References

  1. [1] A. A. Kilbas, H. M. Srivastava & J. J. Trujillo, (2006), Theory and Applications of Fractional Differential Equations: Elsevier, Amsterdam, The Netherlands.
  2. [2] W. Tomasi, (2004), Electronic Communication Systems, Prentice Hall, New Jersey.
  3. [3] R. C. Cascaval, E. C. Eckstein, L. Frota & J. A. Goldstein , (2002), Fractional Telegraph Equations: J Math. Anal. Appl., 276, 145-159.
  4. [4] E. Orsingher & L. Beghin, (2004), Time Fractional Telegraph Equation and Telegraph Process with Brownian Time: Prob. Theory Relat. Fields, 128, 141-160.
  5. [5] J. Chen, F. Liu & V. Anh, (2008), Analytical Solution for the Time-Fractional Telegraph Equation by the method of Separating Variables: J. Math. Anal. Appl., 338, 1364-1377.
  6. [6] S. Momani, (2005), Analytic and Approximate solutions of the space and time fractional telegraph equations: Appl. Math. Comput., 170, 1126-1134.
  7. [7] G. Adomian, (1986), Non-linear Stochastic Operator Equations: Academic Press, San Diego.
  8. [8] G. Adomian, (1994), Solving Frontier Problems of Physics: The Decomposition Method: Kluwer Acad. Pub., Boston.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Manzoor Ahmad This is me

Renu Jain This is me

Publication Date

March 26, 2018

Submission Date

January 28, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 22

APA
Ahmad, M., Bhat, A. A., & Jain, R. (2018). Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method. Journal of New Theory, 22, 73-81. https://izlik.org/JA74UR42LU
AMA
1.Ahmad M, Bhat AA, Jain R. Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method. JNT. 2018;(22):73-81. https://izlik.org/JA74UR42LU
Chicago
Ahmad, Manzoor, Altaf Ahmad Bhat, and Renu Jain. 2018. “Space Time Fractional Telegraph Equation and Its Application by Using Adomian Decomposition Method”. Journal of New Theory, nos. 22: 73-81. https://izlik.org/JA74UR42LU.
EndNote
Ahmad M, Bhat AA, Jain R (March 1, 2018) Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method. Journal of New Theory 22 73–81.
IEEE
[1]M. Ahmad, A. A. Bhat, and R. Jain, “Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method”, JNT, no. 22, pp. 73–81, Mar. 2018, [Online]. Available: https://izlik.org/JA74UR42LU
ISNAD
Ahmad, Manzoor - Bhat, Altaf Ahmad - Jain, Renu. “Space Time Fractional Telegraph Equation and Its Application by Using Adomian Decomposition Method”. Journal of New Theory. 22 (March 1, 2018): 73-81. https://izlik.org/JA74UR42LU.
JAMA
1.Ahmad M, Bhat AA, Jain R. Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method. JNT. 2018;:73–81.
MLA
Ahmad, Manzoor, et al. “Space Time Fractional Telegraph Equation and Its Application by Using Adomian Decomposition Method”. Journal of New Theory, no. 22, Mar. 2018, pp. 73-81, https://izlik.org/JA74UR42LU.
Vancouver
1.Manzoor Ahmad, Altaf Ahmad Bhat, Renu Jain. Space Time Fractional Telegraph Equation and its Application by Using Adomian Decomposition Method. JNT [Internet]. 2018 Mar. 1;(22):73-81. Available from: https://izlik.org/JA74UR42LU

 

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