Conference Paper

Analytical solution for the conformable fractional telegraph equation by Fourier method

Volume: 2 Number: 1 June 30, 2020
EN

Analytical solution for the conformable fractional telegraph equation by Fourier method

Abstract

n this paper, the Fourier method is effectively implemented for solving a conformable fractional telegraph equation. We discuss and derive the analytical solution of the conformable fractional telegraph equation with nonhomogeneous Dirichlet boundary condition.

Keywords

References

  1. [1] A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, North Holland Mathematics Studies 204, Elsevier, New York, NY, USA, 2006.
  2. [2] I. Podlubny, Fractional Differential Equations, vol. 198 of Mathematics in Science and Engineering, Academic Press, San Diego, Calif, USA, 1999.
  3. [3] E. C. Eckstein, J. A.Goldstein, and M. Leggas. Themathematics of suspensions:Kac walks and asymptotic analyticity. Electronic Journal of Differential Equations, vol. 3, pp. 39-50, 1999.
  4. [4] R. C. Cascaval, E. C. Eckstein, C. L. Frota, and J. A. Goldstein. Fractional telegraph equations, Journal of Mathematical Analysis and Applications, vol. 276, no. 1, pp. 145-159, 2002.
  5. [5] J. Chen, F. Liu, and V. Anh, Analytical solution for the time fractional telegraph equation by the method of separating variables, Journal of Mathematical Analysis and Applications, vol. 338, no. 2, pp. 1364-1377, 2008.
  6. [6] R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh. A new definition of fractional derivative, Journal of Computational and Applied Mathematics, vol. 264, pp. 65-70, 2014.
  7. [7] T. Abdeljawad. On conformable fractional calculus, Journal of Computational and Applied Mathematics, vol. 279, pp. 57-66, 2015.

Details

Primary Language

English

Subjects

-

Journal Section

Conference Paper

Publication Date

June 30, 2020

Submission Date

August 28, 2019

Acceptance Date

April 3, 2020

Published in Issue

Year 2020 Volume: 2 Number: 1

APA
Abdelkebir, S., & Nouırı, B. (2020). Analytical solution for the conformable fractional telegraph equation by Fourier method. Proceedings of International Mathematical Sciences, 2(1), 1-6. https://izlik.org/JA86GM42ZY
AMA
1.Abdelkebir S, Nouırı B. Analytical solution for the conformable fractional telegraph equation by Fourier method. PIMS. 2020;2(1):1-6. https://izlik.org/JA86GM42ZY
Chicago
Abdelkebir, Saad, and Brahim Nouırı. 2020. “Analytical Solution for the Conformable Fractional Telegraph Equation by Fourier Method”. Proceedings of International Mathematical Sciences 2 (1): 1-6. https://izlik.org/JA86GM42ZY.
EndNote
Abdelkebir S, Nouırı B (June 1, 2020) Analytical solution for the conformable fractional telegraph equation by Fourier method. Proceedings of International Mathematical Sciences 2 1 1–6.
IEEE
[1]S. Abdelkebir and B. Nouırı, “Analytical solution for the conformable fractional telegraph equation by Fourier method”, PIMS, vol. 2, no. 1, pp. 1–6, June 2020, [Online]. Available: https://izlik.org/JA86GM42ZY
ISNAD
Abdelkebir, Saad - Nouırı, Brahim. “Analytical Solution for the Conformable Fractional Telegraph Equation by Fourier Method”. Proceedings of International Mathematical Sciences 2/1 (June 1, 2020): 1-6. https://izlik.org/JA86GM42ZY.
JAMA
1.Abdelkebir S, Nouırı B. Analytical solution for the conformable fractional telegraph equation by Fourier method. PIMS. 2020;2:1–6.
MLA
Abdelkebir, Saad, and Brahim Nouırı. “Analytical Solution for the Conformable Fractional Telegraph Equation by Fourier Method”. Proceedings of International Mathematical Sciences, vol. 2, no. 1, June 2020, pp. 1-6, https://izlik.org/JA86GM42ZY.
Vancouver
1.Saad Abdelkebir, Brahim Nouırı. Analytical solution for the conformable fractional telegraph equation by Fourier method. PIMS [Internet]. 2020 Jun. 1;2(1):1-6. Available from: https://izlik.org/JA86GM42ZY
Creative Commons License
The published articles in PIMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.