RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation

Mahdy, A. M. S.; Mohamed, Adel S.; Mtawa, Ahmad A. H.

doi:10.4236/am.2015.61014

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2022

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Cited by 4 publications

References 19 publications

(16 reference statements)

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Homotopy Perturbation Transform Method

2022

Computational Fractional Dynamical Systems

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Homotopy Perturbation Transform Method

2022

Computational Fractional Dynamical Systems

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Solving Fractional Damped Burgers' Equation Approximately by Using The Sumudu Transform (ST) Method

Hussein

Fawzi

2021

Baghdad Sci.J

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In this work, the fractional damped Burger's equation (FDBE) formula + − + = 0, ∈ℝ, > 0 , > 0 is solved by Sumudu transform (ST) method . The purpose of the method is based on the application of ST method to nonlinear fractional partial differential equations (NLFPDE). Same initial conditions( IC) are selected to clarify this method. Also, the dependability of this method is given by several examples. In other words, some approximate solutions were gotten successfully. Finally, the curve 3D program is used for plotting the figures.

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Use of Optimal Control in Studying the Dynamical Behaviors of Fractional Financial Awareness Model

Mahdy

Lotfy

El-Bary

2021

Preprint

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Around there, we new examination has been done on past investigations of perhaps the main numerical models that portray the worldwide monetary development and that is depicted as a non-straight fragmentary monetary model of mindfulness, where the investigations address the means following: One: The schematic of the model is proposed. Two: The sickness-free balance point (DFE) and the soundness of the harmony point are talked about. Three: The strength of the model is satisfying by drawing the Lyapunov examples. Fourth: The presence of consistently stable arrangements is examined. Five: The Caputo is portrayed as the fragmentary subsidiary. Six: Fragmentary ideal control for NFFMA is examined, by explaining the partial ideal control through drawing when control. Seven: We are utilizing the calculation, summed up Adams–Bashforth–Moulton technique (GABMP) to tackle the is utilized to take the goal of an NFFMA. At last, we show that GABMP is profoundly indistinguishable. The mathematical strategy utilized in this composition to address this model has not been used by any creator before that. Additionally, this model with partial subordinates characterized in this manner has not been concentrated before that. The strategies used are not difficult to impact, regardless of whether logical or mathematical, and give great results.MSC: 41A28, 65D05, 65H10, 65L20, 65P30, 65P40, 65Z05.

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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation

Cited by 4 publications

References 19 publications

Homotopy Perturbation Transform Method

Homotopy Perturbation Transform Method

Solving Fractional Damped Burgers' Equation Approximately by Using The Sumudu Transform (ST) Method

Use of Optimal Control in Studying the Dynamical Behaviors of Fractional Financial Awareness Model

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