DSpace Collection: http://ddms.usim.edu.my:80/jspui/handle/123456789/14032 2019-07-16T20:32:03Z 2019-07-16T20:32:03Z Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients Asma Ali, Elbeleze, Bachok M., Taib, Adem, Kilicman, http://ddms.usim.edu.my:80/jspui/handle/123456789/8325 2017-02-23T03:32:29Z 2014-01-01T00:00:00Z Title: Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients Authors: Asma Ali, Elbeleze,; Bachok M., Taib,; Adem, Kilicman, Abstract: We implement relatively analytical methods, the homotopy perturbation method and the variational iteration method, for solving singular fractional partial differential equations of fractional order. The process of the methods which produce solutions in terms of convergent series is explained. The fractional derivatives are described in Caputo sense. Some examples are given to show the accurate and easily implemented of these methods even with the presence of singularities. 2014-01-01T00:00:00Z Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation Asma Ali, Elbeleze, Bachok M., Taib, Adem, Kilicman, http://ddms.usim.edu.my:80/jspui/handle/123456789/8206 2017-02-23T03:33:29Z 2013-01-01T00:00:00Z Title: Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation Authors: Asma Ali, Elbeleze,; Bachok M., Taib,; Adem, Kilicman, Abstract: We use the fractional variational iteration method (FVIM) with modified Riemann-Liouville derivative to solve some equations in fluid mechanics and in financial models. The fractional derivatives are described in Riemann-Liouville sense. To show the efficiency of the considered method, some examples that include the fractional Klein-Gordon equation, fractional Burgers equation, and fractional Black-Scholes equation are investigated. 2013-01-01T00:00:00Z