Mathematics and Computational Sciences

Solving Non-Homogeneous Non-Linear Difference and Differential Equations By Using Additive and Multiplicative Derivative and Integral

Articles in Press

Document Type : Original Article

Authors

Mohammad Jahanshahi 1
Nihan Aliyev 2
hamid dehghani 1

1 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

2 Department of Mathematics, Baku State University, Baku, Azerbaijan

https://doi.org/10.30511/mcs.2026.2067858.1428
Abstract
Difference equations are discrete analogy of the differential equations. These equations appear
in mathematical modeling of physics and engineering problems, economic and population subjects that
deal with discrete data and variables.
In this article, we consider and solve these types of equations that are non-homogeneous and non-linear.
The solving method is performed using by multiplicative discrete and continuous differential equations.
The importance of this method is that by using the concept of discrete derivative, the analytical method
and analytical solutions are given to linear and non -linear non-Homogeneous difference and differential
equations.

Keywords

Invariant Functions
Non- Linear Difference Equations
Non-Homogenuous difference equation
Discrete additive derivative
Discrete multiplicative derivative

Subjects

Mathematics and Computational Sciences

Articles in Press, Accepted Manuscript
Available Online from 20 April 2026

  • Receive Date 06 August 2025
  • Revise Date 17 February 2026
  • Accept Date 20 February 2026

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