The New Integral Transform "Mohand Transform"
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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.