Genocchi polynomial method for the multiterm variable-order fractional differentıal equations

Sadiye Nergis Tural Polat; Arzu Turan Dıncel

Genocchi polynomial method for the multiterm variable-order fractional differentıal equations

Abstract

In this paper a numerical solution for multiterm varable-order fractional differential equations (VO-FDEs) using Genocchi polynomials is proffered. By making use of the Genocchi polynomials, a multiterm VO-FDE can be approximated by a corresponding system of algebraic equations. To be able to do that, operational matrices for variable order fractional differentials are obtained using Genocchi polynomials. Then the algebraic equation system is solved for the coefficient values, thus the approximate solution is obtained by using the linear combination of those coefficients. Numerical examples are provided.

Keywords

References

The article references can be accessed from the .pdf file.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Sadiye Nergis Tural Polat ^* This is me
0000-0003-4414-0163
Türkiye

Arzu Turan Dıncel This is me
0000-0002-0416-1878
Türkiye

Publication Date

March 25, 2022

Submission Date

November 25, 2020

Acceptance Date

March 24, 2021

Published in Issue

Year 2022 Volume: 40 Number: 1

IZ

https://izlik.org/JA22KP38JC

Cite

RIS / Bibtex

APA

Tural Polat, S. N., & Turan Dıncel, A. (2022). Genocchi polynomial method for the multiterm variable-order fractional differentıal equations. Sigma Journal of Engineering and Natural Sciences, 40(1), 79-84. https://izlik.org/JA22KP38JC

AMA

1.Tural Polat SN, Turan Dıncel A. Genocchi polynomial method for the multiterm variable-order fractional differentıal equations. SIGMA. 2022;40(1):79-84. https://izlik.org/JA22KP38JC

Chicago

Tural Polat, Sadiye Nergis, and Arzu Turan Dıncel. 2022. “Genocchi Polynomial Method for the Multiterm Variable-Order Fractional Differentıal Equations”. Sigma Journal of Engineering and Natural Sciences 40 (1): 79-84. https://izlik.org/JA22KP38JC.

EndNote

Tural Polat SN, Turan Dıncel A (March 1, 2022) Genocchi polynomial method for the multiterm variable-order fractional differentıal equations. Sigma Journal of Engineering and Natural Sciences 40 1 79–84.

IEEE

[1]S. N. Tural Polat and A. Turan Dıncel, “Genocchi polynomial method for the multiterm variable-order fractional differentıal equations”, SIGMA, vol. 40, no. 1, pp. 79–84, Mar. 2022, [Online]. Available: https://izlik.org/JA22KP38JC

ISNAD

Tural Polat, Sadiye Nergis - Turan Dıncel, Arzu. “Genocchi Polynomial Method for the Multiterm Variable-Order Fractional Differentıal Equations”. Sigma Journal of Engineering and Natural Sciences 40/1 (March 1, 2022): 79-84. https://izlik.org/JA22KP38JC.

JAMA

1.Tural Polat SN, Turan Dıncel A. Genocchi polynomial method for the multiterm variable-order fractional differentıal equations. SIGMA. 2022;40:79–84.

MLA

Tural Polat, Sadiye Nergis, and Arzu Turan Dıncel. “Genocchi Polynomial Method for the Multiterm Variable-Order Fractional Differentıal Equations”. Sigma Journal of Engineering and Natural Sciences, vol. 40, no. 1, Mar. 2022, pp. 79-84, https://izlik.org/JA22KP38JC.

Vancouver

1.Sadiye Nergis Tural Polat, Arzu Turan Dıncel. Genocchi polynomial method for the multiterm variable-order fractional differentıal equations. SIGMA [Internet]. 2022 Mar. 1;40(1):79-84. Available from: https://izlik.org/JA22KP38JC