Journal of Innovative Science and Engineering

Öz

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.