Baleanu, DumitruJaveed, ShumailaBaleanu, DumitruWaheed, AsifKhan, Mansoor ShaukatAffan, Hira2020-01-292020-01-292019Javeed, Shumaila...et al. (2019). "Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations", Mathematics, Vol. 7, No. 1.2227-7390https://hdl.handle.net/20.500.12416/2376The 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.eninfo:eu-repo/semantics/openAccessBurger-Poisson Equation of Fractional OrderHPMFractional DerivativesArticle7110.3390/math7010040