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Browsing by Author "Affan, Hira"

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    Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations
    (MDPI, 2019) Baleanu, Dumitru; Baleanu, Dumitru; Waheed, Asif; Khan, Mansoor Shaukat; Affan, Hira; 56389
    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.