ANALYSIS AND NEW APPLICATIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH POWER LAW KERNEL

We obtain the solutions of fractal fractional differential equations with the power law kernel by reproducing kernel Hilbert space method in this paper. We also apply the Laplace transform to get the exact solutions of the problems. We compare the exact solutions with the approximate solutions. We demonstrate our results by some tables and figures. We prove the efficiency of the proposed technique for fractal fractional differential equations.

Automated summary

In this paper, we utilized the reproducing kernel Hilbert space method and Laplace transform to solve fractal fractional differential equations with power law kernel. The comparison between exact solutions and approximate solutions demonstrate the efficiency of the proposed technique.