Double Ramadan Group Integral Transform: Definition and Properties with Applications to Partial Differential Equations

Authors

Mohamed A. Ramadan, Mathematics Department, Faculty of Science, Menoufia University, Shebin El-Kom, Egypt.Follow
Adel R. Hadhoud, Mathematics Department, Faculty of Science, Menoufia University, Shebin El-Kom, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100313

Recommended Citation

A. Ramadan, Mohamed and R. Hadhoud, Adel (2018) "Double Ramadan Group Integral Transform: Definition and Properties with Applications to Partial Differential Equations," Applied Mathematics & Information Sciences: Vol. 12: Iss. 2, Article 13.
DOI: http://dx.doi.org/10.18576/journal/100313
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss2/13