تفاصيل الرسالة العلمية

In this thesis, the reduced differential transform method is applied to solve a class of fractional partial differential equations in both linear and nonlinear states, focusing on economic issues such as the Black-Scholes model. The methodology of the solution depends on creating a chain in a formula that is rapidly approximated with the minimum size of the calculations and without any restrictive assumptions. This adaptation can be used as an alternative method to solve many of the nonlinear issues arising in various engineering sciences. To clarify the accuracy and effectiveness of the method, a numerical comparison is made with the results obtained by the proposed method and the actual results, This comparison reveals that the reduced differential transform method is easier to implement and is a promising method for different fractional linear /nonlinear PDEs