WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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20202

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Author: search.filters.author.Khan, HassanPublisher: search.filters.publisher.Wiley-hindawi

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  • Erratum
    Citation - WoS: 4
    Citation - Scopus: 8
    Retracted: an Analytical Investigation of Fractional-Order Biological Model Using an Innovative Technique (Retracted Article)
    (Wiley-hindawi, 2020) Khan, Adnan; Al Qurashi, Maysaa; Baleanu, Dumitru; Shah, Rasool; Khan, Hassan
    In this paper, a new so-called iterative Laplace transform method is implemented to investigate the solution of certain important population models of noninteger order. The iterative procedure is combined effectively with Laplace transformation to develop the suggested methodology. The Caputo operator is applied to express the noninteger derivative of fractional order. The series form solution is obtained having components of convergent behavior toward the exact solution. For justification and verification of the present method, some illustrative examples are discussed. The closed contact is observed between the obtained and exact solutions. Moreover, the suggested method has a small volume of calculations; therefore, it can be applied to handle the solutions of various problems with fractional-order derivatives.
  • Article
    Citation - WoS: 12
    Citation - Scopus: 13
    On the Fractional View Analysis of Keller-Segel Equations With Sensitivity Functions
    (Wiley-hindawi, 2020) Khan, Hassan; Shah, Rasool; Alderremy, A. A.; Aly, Shaban; Baleanu, Dumitru; Liu, Haobin
    In this paper, the fractional view analysis of the Keller-Segal equations with sensitivity functions is presented. The Caputo operator has been used to pursue the present research work. The natural transform is combined with the homotopy perturbation method, and a new scheme for implementation is derived. The modified established method is named as the homotopy perturbation transform technique. The derived results are compared with the solution of the Laplace Adomian decomposition technique by using the systems of fractional Keller-Segal equations. The solution graphs and the table have shown that the obtained results coincide with the solution of the Laplace Adomian decomposition method. Fractional-order solutions are determined to confirm the reliability of the current method. It is observed that the solutions at various fractional orders are convergent to an integer-order solution of the problems. The suggested procedure is very attractive and straight forward and therefore can be modified to solve high nonlinear fractional partial differential equations and their systems.