On behavior of solution for delta fractional differences associated with special functions

Abstract

In this paper, a general idea of Mittag-Leffler function using discrete fractional of delta-type in the Riemann–Liouville sense is initiated. Asymptotic behavior of solutions associated with the Riemann–Liouville fractional difference is proposed herein to complement its corresponding Mittag-Leffler solution related to comparison theorems. Illustrative examples are presented to support the assertions of the theoretical results. Additionally, Neural Network (NN) approximation is employed to compare and validate the numerical solutions, demonstrating its effectiveness in approximating discrete fractional problems.