Keywords:Integral transformations, Differential equations, convolution theorem, Laplace transformation, g- transformations.
In this paper, we introduce a new integral transformation, say g-transformation and is defined as follows:
Which consider generalized of most known integral transformations and also it can be find a new special integral transformations. We have studied the properties of this transformation. We have presented the general formula of g-transformation for the derivative of functions in higher orders. We also clarified the relationship between this transform and some known integral transformations such as the Laplace Transform , Carson transformation and Sunudu transformation . We introduce new result of shifting theorem.
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