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  1.  18
    Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two-Scale Approach.Jinxing Liu, Muhammad Nadeem, Mustafa Habib, Shazia Karim & Harun Or Roshid - 2022 - Complexity 2022:1-8.
    In this paper, we investigate the numerical solution of the coupled fractional massive Thirring equation with the aid of He’s fractional complex transform. This study plays a significant aspect in the field of quantum physics, weakly nonlinear thrilling waves, and nonlinear optics. The main advantage of FCT is that it converts the fractional differential equation into its traditional parts and is also capable to handle the fractional order, whereas the homotopy perturbation method is employed to tackle the nonlinear terms in (...)
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  2.  15
    Semianalytical Approach for the Approximate Solution of Delay Differential Equations.Xiankang Luo, Mustafa Habib, Shazia Karim & Hanan A. Wahash - 2022 - Complexity 2022:1-6.
    In this analysis, we develop a new approach to investigate the semianalytical solution of the delay differential equations. Mohand transform coupled with the homotopy perturbation method is called Mohand homotopy perturbation transform method and performs the solution results in the form of series. The beauty of this approach is that it does not need to compute the values of the Lagrange multiplier as in the variational iteration method, and also, there is no need to implement the convolution theorem as in (...)
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    ABC Fractional Derivative for the Alcohol Drinking Model using Two-Scale Fractal Dimension.Qura Tul Ain, T. Sathiyaraj, Shazia Karim, Muhammad Nadeem & Patrick Kandege Mwanakatwe - 2022 - Complexity 2022:1-11.
    Drinking kills a significant proportion of individuals every year, particularly in low-income communities. An impulsive differential equation system is used to explore the effectiveness of activated charcoal in detoxifying the body after methanol poisoning. Our impression of activated charcoal is shaped by the fractional dynamics of the problem, which leads to speedy and low-cost first aid. The adsorption capacity of activated charcoal is investigated using impulsive differential equations. The ABC fractional operator’s findings paint a more realistic image of first aid (...)
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