Numerical computation of exponential functions in frame of Nabla fractional calculus

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Jonnalagadda Jagan Mohan; Alzabut Jehad

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Journal Paper

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Journal: Computational Methods for Differential Equations Year:2023 | Volume:11 | Issue:2 Page(s): 291-302

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Information Journal Paper

Title

Numerical computation of exponential functions in frame of Nabla fractional calculus

Author(s)

Jonnalagadda Jagan Mohan | Alzabut Jehad | Issue Writer Certificate

Keywords

Nabla fractional difference

Exponential function

Triangular strip matrix

General solution

Asymptotic behaviour

Abstract

Exponential functions play an essential role in describing the qualitative properties of solutions of Nabla fractional difference equations. In this article, we illustrate their asymptotic behavior. We know that these functions involve infinite series of ratios of gamma functions, and it is challenging to compute them. For this purpose, we propose a novel matrix technique to compute the addressed functions numerically. The results are supported by illustrative examples. The proposed method can be extended to obtain numerical solutions for non-homogeneous Nabla fractional difference equations.

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APA: Copy

Jonnalagadda, Jagan Mohan, & Alzabut, Jehad. (2023). Numerical computation of exponential functions in frame of Nabla fractional calculus. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 11(2), 291-302. SID. https://sid.ir/paper/1057528/en

Vancouver: Copy

Jonnalagadda Jagan Mohan, Alzabut Jehad. Numerical computation of exponential functions in frame of Nabla fractional calculus. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2023;11(2):291-302. Available from: https://sid.ir/paper/1057528/en

IEEE: Copy

Jagan Mohan Jonnalagadda, and Jehad Alzabut, “Numerical computation of exponential functions in frame of Nabla fractional calculus,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 11, no. 2, pp. 291–302, 2023, [Online]. Available: https://sid.ir/paper/1057528/en

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