Akgul, Ali2024-12-242024-12-2420211937-16321937-1179https://doi.org/10.3934/dcdss.2020423https://hdl.handle.net/20.500.12604/8363We 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.eninfo:eu-repo/semantics/openAccesspower law kernelreproducing kernel Hilbert space methodMalkus waterwheel modelnumerical simulationsFractal fractional differential equationsArticle141034013417Q2WOS:000678575000005Q12-s2.0-8511243837710.3934/dcdss.2020423