Yazar "Sadaf, Maasoomah" seçeneğine göre listele

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    Öğe
    A Comparative Study of Time Fractional Nonlinear Drinfeld-Sokolov-Wilson System via Modified Auxiliary Equation Method
    (Mdpi, 2023) Akram, Ghazala; Sadaf, Maasoomah; Zainab, Iqra; Abbas, Muhammad; Akgul, Ali
    The time-fractional nonlinear Drinfeld-Sokolov-Wilson system, which has significance in the study of traveling waves, shallow water waves, water dispersion, and fluid mechanics, is examined in the presented work. Analytic exact solutions of the system are produced using the modified auxiliary equation method. The fractional implications on the model are examined under b-fractional derivative and a new fractional local derivative. Extracted solutions include rational, trigonometric, and hyperbolic functions with dark, periodic, and kink solitons. Additionally, by specifying values for fractional parameters, graphs are utilized to comprehend the fractional effects on the obtained solutions.
  • [ X ]
    Öğe
    Exact special solutions of space-time fractional Cahn-Allen equation by beta and M-truncated derivatives
    (World Scientific Publ Co Pte Ltd, 2024) Sadaf, Maasoomah; Akram, Ghazala; Inc, Mustafa; Dawood, Mirfa; Rezazadeh, Hadi; Akgul, Ali
    In this paper, we consider the nonlinear space-time fractional form of Cahn-Allen equation (FCAE) with beta and M-truncated derivatives. Cahn-Allen equation (CAE) is commonly used in many problems of physics and engineering, such as, solidification problems, phase separation in iron alloys and others. We apply the improved tan(?(?)2)-expansion method (ITEM). We obtain four types of traveling wave solutions, including, trigonometric, hyperbolic, rational and exponential function solutions. We demonstrate some of the extracted solutions using definitions of the beta (BD) and M-truncated derivatives (MTD) to understand their dynamical behavior. We observe the fractional effects of the aforementioned derivatives on the related physical phenomena up to possible extent.