In this paper, we investigate the fractal-fractional Malkus Waterwheel model in detail. We discuss the existence and uniqueness of a solution of the fractal-fractional model using the fixed point technique. We apply a very effective method to obtain the solutions of the model. We prove with numerical simulations the accuracy of the proposed method. We put in evidence the effects of the fractional order and the fractal dimension for a symmetric Malkus Waterwheel model
In this paper, fractional order derivative, fractal dimension and spectral dimension are introduced ...
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmet...
We propose a model of a fractal oscillator with variable fractional order. Received and investigate...
This study examines fractal-fractional ordinary differential equations with a power law kernel, whic...
Drugs have always been one of the most important concerns of families and government officials at al...
We show a relation between fractional calculus and fractals, based only on physical and geometrical ...
The widespread application of chaotic dynamical systems in different fields of science and engineeri...
Our goal is to prove the existence of a connection between fractal geometries and fractional calculu...
The article aims to investigate the fractional Drinfeld-Sokolov-Wilson system with fractal dimension...
Fractal and fractional calculus have important theoretical and practical value. In this paper, analy...
Researchers have recently begun to use fractal fractional operators in the Atangana–Baleanu sense to...
Mathematical models have been frequently studied in recent decades, in order to obtain the deeper pr...
Mathematical modeling of infectious diseases with non-integer order getting attentions from scientis...
The Cauchy problem for a wide class of fractal oscillators is considered in the paper and its numeri...
We consider a fractal scalar conservation law, that is to say a conservation law modified by a fract...
In this paper, fractional order derivative, fractal dimension and spectral dimension are introduced ...
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmet...
We propose a model of a fractal oscillator with variable fractional order. Received and investigate...
This study examines fractal-fractional ordinary differential equations with a power law kernel, whic...
Drugs have always been one of the most important concerns of families and government officials at al...
We show a relation between fractional calculus and fractals, based only on physical and geometrical ...
The widespread application of chaotic dynamical systems in different fields of science and engineeri...
Our goal is to prove the existence of a connection between fractal geometries and fractional calculu...
The article aims to investigate the fractional Drinfeld-Sokolov-Wilson system with fractal dimension...
Fractal and fractional calculus have important theoretical and practical value. In this paper, analy...
Researchers have recently begun to use fractal fractional operators in the Atangana–Baleanu sense to...
Mathematical models have been frequently studied in recent decades, in order to obtain the deeper pr...
Mathematical modeling of infectious diseases with non-integer order getting attentions from scientis...
The Cauchy problem for a wide class of fractal oscillators is considered in the paper and its numeri...
We consider a fractal scalar conservation law, that is to say a conservation law modified by a fract...
In this paper, fractional order derivative, fractal dimension and spectral dimension are introduced ...
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmet...
We propose a model of a fractal oscillator with variable fractional order. Received and investigate...