Applied Mathematics & Information Sciences

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The main focus of this paper is to introduce the definition of double Ramadan Group integral(RGT)2transform as an extension to RG introduced recently by the authors. The convergence theorem of the transform is stated and proved and some basic properties of the double RG transform are discussed. The relationship of this double transform to the double Laplace and Sumudu transforms is obtained. The applicability of this relatively new double transform is demonstrated to solve initial and boundary value problems in applied mathematics, and mathematical physics.

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