Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Author: search.filters.author.Javeed, ShumailaPublisher: search.filters.publisher.Mdpi

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  • Article
    Citation - WoS: 74
    Citation - Scopus: 86
    Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations
    (Mdpi, 2019) Baleanu, Dumitru; Waheed, Asif; Khan, Mansoor Shaukat; Affan, Hira; Javeed, Shumaila
    The analysis of Homotopy PerturbationMethod (HPM) for the solution of fractional partial differential equations (FPDEs) is presented. A unified convergence theorem is given. In order to validate the theory, the solution of fractional-order Burger-Poisson (FBP) equation is obtained. Furthermore, this work presents the method to find the solution of FPDEs, while the same partial differential equation (PDE) with ordinary derivative i.e., for alpha = 1, is not defined in the given domain. Moreover, HPM is applied to a complicated obstacle boundary value problem (BVP) of fractional order.
  • Article
    Citation - WoS: 18
    Citation - Scopus: 23
    First Integral Technique for Finding Exact Solutions of Higher Dimensional Mathematical Physics Models
    (Mdpi, 2019) Riaz, Sidra; Alimgeer, Khurram Saleem; Atif, M.; Hanif, Atif; Baleanu, Dumitru; Javeed, Shumaila
    In this work, we establish the exact solutions of some mathematical physics models. The first integral method (FIM) is extended to find the explicit exact solutions of high-dimensional nonlinear partial differential equations (PDEs). The considered models are: the space-time modified regularized long wave (mRLW) equation, the (1+2) dimensional space-time potential Kadomtsev Petviashvili (pKP) equation and the (1+2) dimensional space-time coupled dispersive long wave (DLW) system. FIM is a powerful mathematical tool that can be used to obtain the exact solutions of many non-linear PDEs.