Applications of Mohand Transform

Abstract

Investigating solutions of differential equations has been an important issue for scientists. Researchers around the world have talked about different methods to solve differential equations. The type and order of the differential equation enable us to decide the method that we can choose to find the solution of the equation. One of these methods is the integral transform, which is the conversion of a real or complex valued function into another function by some algebraic operations. Integral transforms are used to solve many problems in mathematics and engineering, such as differential equations and integral equations. Therefore, new types of integral transforms have been defined, and existing integral transforms have been improved. One of the solution methods of many physical problems as well as initial and boundary value problems are integral transforms. Integral transforms were introduced in the first half of the 19th century. The first historically known integral transforms are Laplace and Fourier transforms. Over the time, other transforms that are used in many fields have emerged. The aim of this article is to describe the Mohand transform and to make applications of linear ordinary differential equations with constant coefficients without any major mathematical calculations This integral transform method is an alternative method to existing transforms such as Laplace transform and Kushare transform. When recent studies in the literature are examined, it can be said that Mohand transform is preferred because it is easy to apply.

Keywords

• differential equation
• integral transform
• laplace and fourier transform.