Solving fractal differential equation via numerical methods


Golmankhaneh A.K. Zayed A.I. Myrzakulov R.
2025Springer Science and Business Media Deutschland GmbH

Arabian Journal of Mathematics
2025

In this paper, the fractal numerical methods for solving fractal differential equations are given such as the Fractal Euler’s Method, the Fractal Heun Method, and the Fractal Runge–Kutta Method. The errors of the fractal numerical approximate solution of the fractal differential equation are presented and compared.



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Department of Physics, Ur.C, Islamic Azad University, West Azerbaijan, Urmia, 63896, Iran
Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Van, 65080, Turkey
Department of Mathematical Sciences, Depaul University, Chicago, 60614, IL, United States
Eurasian International Centre for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan

Department of Physics
Department of Mathematics
Department of Mathematical Sciences
Eurasian International Centre for Theoretical Physics

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