Yazar "Ullah, Abd" seçeneğine göre listele

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    Öğe
    Computational analysis of fuzzy fractional order non-dimensional Fisher equation
    (Iop Publishing Ltd, 2021) Ahmad, Shabir; Ullah, Aman; Ullah, Abd; Akgul, Ali; Abdeljawad, Thabet
    In recent decades, fuzzy differential equations of integer and arbitrary order are extensively used for analyzing the dynamics of a mathematical model of the physical process because crisp operators of integer and arbitrary order are not able to study the model being studied when there is uncertainty in values used in modeling. In this article, we have considered the time-fractional Fisher equation in a fuzzy environment. The basic aim of this article is to deduce a semi-analytical solution to the fuzzy fractional-order non-dimensional model of the Fisher equation. Since the Laplace-Adomian method has a good convergence rate. We use the Laplace- Adomian decomposition method (LADM) to determine a solution under a fuzzy concept in parametric form. We discuss the convergence and error analysis of the proposed method. For the validity of the proposed scheme, we provide few examples with detailed solutions. We provide comparisons between exact and approximate solutions through graphs. In the end, the conclusion of the paper is provided.
  • [ X ]
    Öğe
    On solutions of fuzzy fractional order complex population dynamical model
    (Wiley, 2023) Ullah, Abd; Ullah, Aman; Ahmad, Shabir; Ahmad, Imtiaz; Akgul, Ali
    Uncertainty always involved in our life activities because we cannot measure a physical quantity accurately. This situation has handled by fuzzy systems and fuzzy differential equations. Recently, fuzzy fractional differential equations got tremendous attention of the researchers of the current century because these operators model the real phenomenon more accurately than integer-order and fractional-order operators. Therefore, we investigate the complex population dynamical model under the fuzzy Caputo fractional derivative. Since the Laplace transform has a high convergence rate among all transform methods, so we use fuzzy Laplace transform along with Adomian decomposition to obtain general numerical results for the proposed model. We provide two examples to support the proposed procedure. We simulate the numerical results in terms of graphs for the various fractional-order and at uncertainty r is an element of [0, 1].