University of Tabriz Computational Methods for Differential Equations 2345-3982 12 4 2024 09 01 A numerical approach for solving the Fractal ordinary differential equations 780 790 17734 10.22034/cmde.2023.55868.2331 EN Nooshin Pashmakian Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran. Ali Farajzadeh Department of Mathematics, Razi University, Kermanshah, Iran. Nordin Parandin Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran. Nasrin Karamikabir Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran. Journal Article 2023 03 16 In this paper, fractal differential equations are solved numerically. Here, the typical fractal equation is considered as follows:<br />$$\frac{du(t)}{dt^{\alpha}}=f\left\{ t,u(t)\right\},~~~\alpha>0,$$<br /> $f$ can be a nonlinear function and the main goal is to get $u(t)$. The continuous and discrete modes of this method have differences, so the subject must be carefully studied. How to solve fractal equations in their discrete form will be another goal of this research and also its generalization to higher dimensions than other aspects of this research. https://cmde.tabrizu.ac.ir/article_17734_553432829c9da6375ee08c7c2c077198.pdf