TY - JOUR
ID - 15239
TI - Numerical computation of exponential functions in frame of Nabla fractional calculus
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Jonnalagadda, Jagan Mohan
AU - Alzabut, Jehad
AD - Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad - 500078, Telangana, India.
AD - Department of Mathematics and Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia.
Y1 - 2023
PY - 2023
VL - 11
IS - 2
SP - 291
EP - 302
KW - Nabla fractional difference
KW - Exponential function
KW - triangular strip matrix
KW - general solution
KW - Asymptotic behaviour
DO - 10.22034/cmde.2022.50918.2119
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_15239.html
L1 - https://cmde.tabrizu.ac.ir/article_15239_c443e283e494f0cb6f76f4c8db75594e.pdf
ER -