The New Integral Transform "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 enabled us to 
 
 decide the method that we could choose to find the solution of the equation. One 
 
 of these methods is the integral transform. Integral transform 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 also 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 have emerged that are used 
 
 in many fields. In this article, mohand transform was described and used to simplify 
 
 the solution of linear ordinary differential equations with constant coefficients.