ON SOLUTIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS

ABDON ATANGANA; ALI AKGUEL

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ON SOLUTIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS

机译：关于分形分数微分方程的解

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New class of differential and integral operators with fractional orderand fractal dimension have been introduced very recently and gave birthto new class of differential and integral equations. In this paper, we deriveexact solution of some important ordinary differential equations where the differentialoperators are the fractal-fractional. We presented a new numericalscheme to obtain solution in the nonlinear case. We presented the numericalsimulation for different values of fractional orders and fractal dimension.

机译：具有分数令的新级别差分和整数运营商最近介绍了分形维数并获得了生育新一类差分和整体方程。在本文中，我们派生了微差的一些重要常微分方程的精确解运营商是分形分数。我们提出了一个新的数字在非线性案例中获得解决方案。我们提出了数值用于分数订单和分形尺寸的不同值的模拟。

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《Discrete and Continuous Dynamical Systems,Series S》 |2021年第10期|3441-3457|共17页
作者
ABDON ATANGANA; ALI AKGUEL;
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作者单位

Institute for Groundwater Studies Faculty of Natural and Agricultural ScienceUniversity of Free State 9300 Bloemfontein South AfricaDepartment of Medical Research China Medical University HospitalChina Medical University Taichung Taiwan;

Siirt University Art and Science Faculty Department of MathematicsTR-56100 Siirt Turkey;

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正文语种 eng
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关键词
Factal fractional derivatives; power law kernel; exponential decay kernel; Mittag-Leffer kernel; Laplace transform;

机译：分形分数衍生物;权力法内核;指数衰减内核;Mittag-Leffler内核;拉普拉斯变换;

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ON SOLUTIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS

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