Extorial solutions for fractional and partial difference equations with applications

In this paper, we introduce a new function which is defined by replacing polynomials into polynomial factorials in the expansion of exponential function denoted by e(k)l(1) entitled as extorial function, an original and unique contribution. Required identities involving difference operators with fac...

Full description

Saved in:
Bibliographic Details
Main Authors: Xavier, G. Britto Antony, Borg, S. John, Jaraldpushparaj, S.
Format: Conference Proceeding
Language:English
Subjects:
Circuits
Difference equations
Exponential functions
Factorials
Finite differences
Operators (mathematics)
Polynomials
RL circuits
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we introduce a new function which is defined by replacing polynomials into polynomial factorials in the expansion of exponential function denoted by e(k)l(1) entitled as extorial function, an original and unique contribution. Required identities involving difference operators with factorials are enumerated. And these identities are applied to obtain solutions of difference and discrete partial difference equation for heat flows and current flows in RL circuit. Numerical verifications validating the above results are included.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5097515