[PDF][PDF] Theory of natural transform
FBM Belgacem, R Silambarasan - Math. Engg. Sci. Aeros, 2012 - researchgate.net
Nature of the Natural transform is, it converges to Laplace and Sumudu transform. The
theme of this paper is to give detailed study of Natural transform. The Natural transform is …
theme of this paper is to give detailed study of Natural transform. The Natural transform is …
On the applications of Laplace and Sumudu transforms
A Kılıçman, HE Gadain - Journal of the Franklin Institute, 2010 - Elsevier
In this paper, we study the properties of Sumudu transform and relationship between
Laplace and Sumudu transforms. Further, we also provide an example of the double …
Laplace and Sumudu transforms. Further, we also provide an example of the double …
Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
A user friendly algorithm based on new homotopy perturbation Sumudu transform method
(HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional …
(HPSTM) is proposed to solve nonlinear fractional gas dynamics equation. The fractional …
Homotopy Perturbation Method for Fractional Black‐Scholes European Option Pricing Equations Using Sumudu Transform
The homotopy perturbation method, Sumudu transform, and He's polynomials are combined
to obtain the solution of fractional Black‐Scholes equation. The fractional derivative is …
to obtain the solution of fractional Black‐Scholes equation. The fractional derivative is …
A Highly Accurate Technique to Obtain Exact Solutions to Time‐Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
In this study, the highly accurate analytical Aboodh transform decomposition method (ATDM)
in the sense of Caputo fractional derivative is used to determine the approximate and exact …
in the sense of Caputo fractional derivative is used to determine the approximate and exact …
New results on the conformable fractional Sumudu transform: theories and applications
Z Al-Zhour, F Alrawajeh, N Al-Mutairi… - International Journal of …, 2019 - etamaths.com
In this paper, we generalize the formula of Sumudu transform to the conformable fractional
order and some interesting and important rules of this transform and conformable fractional …
order and some interesting and important rules of this transform and conformable fractional …
An analytical approach for fractional hyperbolic telegraph equation using Shehu transform in one, two and three dimensions
In the present research paper, an iterative approach named the iterative Shehu transform
method is implemented to solve time-fractional hyperbolic telegraph equations in one, two …
method is implemented to solve time-fractional hyperbolic telegraph equations in one, two …
A new integral transform and its applications
HM Srivastava, LUO Minjie, RK Raina - Acta Mathematica Scientia, 2015 - Elsevier
In the present paper, the authors introduce a new integral transform which yields a number
of potentially useful (known or new) integral transfoms as its special cases. Many …
of potentially useful (known or new) integral transfoms as its special cases. Many …
[PDF][PDF] On the application of natural transforms
SKQ Al-Omari - Int. J. Pure Appl. Math, 2013 - Citeseer
In many papers, integral transforms have been introduced and found their application in
solving certain boundary value problems. Indeed, as reference [1] shows, the natural …
solving certain boundary value problems. Indeed, as reference [1] shows, the natural …
[PDF][PDF] Sadik and complex Sadik integral transforms of system of ordinary differential equations
EA Kuffi - Iraqi Journal for Computer Science and Mathematics, 2023 - iasj.net
Integral transformations have a fundamental role in solving differential and integral
equations. In this paper, the Sadiq and complex Sadiq integral transformations were …
equations. In this paper, the Sadiq and complex Sadiq integral transformations were …