Bibliographic Details
| Title: |
Stability Analysis of Higher Order and Fractional Anti-Differences with Mixed Difference Operators. |
| Authors: |
S., Divya Bharathi1 divyabharathitacw@gmail.com, T. G., Gerly2 gerly@shctpt.edu, V., Rexma Sherine3 rexmaprabu123@gmail.com, G., Britto Antony Xavier4 brittoshc@gmail.com, S., Geethalakshmi1 geethathiru126@gmail.com |
| Source: |
IAENG International Journal of Applied Mathematics. Sep2025, Vol. 55 Issue 9, p2822-2833. 12p. |
| Subjects: |
Difference operators, Difference equations, Stability theory, Mathematical series, Operator equations |
| Abstract: |
The objective of this article is to explore the anti-difference principle using mixed difference operators, deriving theorems for the mth order anti-difference related to finite series. We establish higher order difference equations with factorial coefficients, extending to fractional orders and deriving a fractional anti-difference principle from its integer counterpart. Mixed gamma geometric factorials are introduced to formulate fundamental theorems for mixed fractional difference equations. We analyze the behavior of the vth order anti-difference principle, providing a solid theoretical foundation for applying mixed difference operators in discrete dynamics. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
