Numerical computation of exponential functions in frame of Nabla fractional calculus
Publish Year: 1402
Type: Journal paper
Language: English
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Document National Code:
JR_CMDE-11-2_007
Index date: 17 April 2023
Numerical computation of exponential functions in frame of Nabla fractional calculus 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.
Numerical computation of exponential functions in frame of Nabla fractional calculus Keywords:
Numerical computation of exponential functions in frame of Nabla fractional calculus authors
Jagan Mohan Jonnalagadda
Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad - ۵۰۰۰۷۸, Telangana, India.
Jehad Alzabut
Department of Mathematics and Sciences, Prince Sultan University, Riyadh ۱۲۴۳۵, Saudi Arabia.
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