Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Volume 14, Issue 10, Pages 3401-3417Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2020423
Keywords
power law kernel; reproducing kernel Hilbert space method; Malkus waterwheel model; numerical simulations; Fractal fractional differential equations
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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.
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.
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