Akademik Veri Yönetim Sistemi
EU 2nd International Conference on Health, Engineering and Applied Sciences, Belgrade, Sırbistan, 4 - 06 Ağustos 2023, ss.126-149
This research provides different approaches for the approximate solutions to the Space-Time Fractional Diffusion Process (STFDP) with the help of a new integral transformation called Shehu transformation. Fractional derivative is taken in the sense of Caputo derivative. First of all, STFDP is reduced into a time or space fractional diffusion process by introducing appropriate transformation. Secondly, the Shehu transformation is utilized to acquire approximate solutions of reduced processes. Finally, employing the inverse transformation, an approximate solution of STFDP with mixed boundary conditions is established. Various examples are provided to verify the accuracy and efficiency of the proposed methods. It is also demonstrated that implementation and computation of the suggested methods are easier as compared to the other methods.