On double Natural transform and its applications
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Authors
Adem Kılıçman
- Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Selangor, Malaysia.
Maryam Omran
- Institute for Mathematical Research, University Putra Malaysia , 43400 Serdang, Selangor, Malaysia.
Abstract
In this work, we generalize the concept of one dimensional Natural transform to two dimensional Natural transform namely,
double Natural transform and some of its properties are given. We also set a relation between double Natural transform and
double Laplace, double Sumudu transforms. Further the convolution theorem with a proof is investigated with some details.
Double Natural transform is applied to get the solutions of some general linear telegraphs, wave and partial integro-differential
equations.
Share and Cite
ISRP Style
Adem Kılıçman, Maryam Omran, On double Natural transform and its applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1744--1754
AMA Style
Kılıçman Adem, Omran Maryam, On double Natural transform and its applications. J. Nonlinear Sci. Appl. (2017); 10(4):1744--1754
Chicago/Turabian Style
Kılıçman, Adem, Omran, Maryam. "On double Natural transform and its applications." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1744--1754
Keywords
- Double Natural transform
- single Natural transform
- partial differential and integro-differential equations
- convolution theorem.
MSC
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