Results 31 to 40 of about 86,947 (328)

Measurement Brownian Dimension of Von Koch Curve [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2018
The aim of this paper, it's calculate Brownian dimension of fractal pattern  has self similarity (Von Koch Curve). This method is Random Middle Third Displacement in [0,1] has Gaussian distribution.
Mahasin Younis
doaj   +1 more source

New Properties and Sets Derived from the $\sqrt{2}$-Ball Fractal Dust

Fractal and Fractional, 2023
Due to their practicality and convenient parametrization, fractals derived from iterated function systems (IFSs) constitute powerful tools widely used to model natural and synthetic shapes.
Mario A. Aguirre-López, José Ulises Márquez-Urbina, Filiberto Hueyotl-Zahuantitla   +2 more
doaj   +1 more source

On the Fractional-Order Complex Cosine Map: Fractal Analysis, Julia Set Control and Synchronization

Mathematics, 2023
In this paper, we introduce a generalized complex discrete fractional-order cosine map. Dynamical analysis of the proposed complex fractional order map is examined. The existence and stability characteristics of the map’s fixed points are explored.
A. A. Elsadany, A. Aldurayhim, H. N. Agiza, Amr Elsonbaty   +3 more
doaj   +1 more source

Anomalous diffusion on a fractal mesh

, 2016
An exact analytical analysis of anomalous diffusion on a fractal mesh is presented. The fractal mesh structure is a direct product of two fractal sets which belong to a main branch of backbones and side branch of fingers.
Iomin, Alexander, Kantz, Holger, Sandev, Trifce   +2 more
core   +1 more source

Intersections of moving fractal sets

, 2013
Intersection of a random fractal or self-affine set with a linear manifold or another fractal set is studied, assuming that one of the sets is in a translational motion with respect to the other.
Kalda, Jaan, Mandre, Indrek
core   +1 more source

Vanishing viscosity for fractal sets

Discrete and Continuous Dynamical Systems, 2010
We imbed an array of thin highly conductive fibers in a surrounding two-dimensional medium with small viscosity. The resulting composite medium is described by a second order elliptic operator in divergence form with discontinuous singular coefficients on an open domain of the plane.
Umberto Mosco, VIVALDI, Maria Agostina
openaire   +1 more source

Generalized s-Convex Functions on Fractal Sets

Abstract and Applied Analysis, 2014
We introduce two kinds of generalized s-convex functions on real linear fractal sets Rα ...
Huixia Mo, Xin Sui
doaj   +1 more source

The scattering from generalized Cantor fractals

, 2010
We consider a fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set. In contrast with the usual Cantor set, the fractal dimension is controlled using a scaling factor, and can vary from zero to one in ...
A. I. Kuklin, A. Yu. Cherny, Bale, Beaucage, Cerofolini, Dokukin, E. M. Anitas, Fedotov, Fedotov, Fedotov, Freltoft, Hamburger-Lidar, Hurd, Lebedev, M. Balasoiu, Malcai, Martin, Martin, Mayama, Newkome, Ozerin, Pfeifer, Pfeifer, Schmidt, Schmidt, Sorensen, Takeda, V. A. Osipov, Yamaguchi   +28 more
core   +1 more source

Generic Hölder level sets on fractals

Journal of Mathematical Analysis and Applications, 2022
Hausdorff dimensions of level sets of generic continuous functions defined on fractals were considered in two papers by R. Balka, Z. Buczolich and M. Elekes. In those papers the topological Hausdorff dimension of fractals was defined. In this paper we start to study level sets of generic $1$-Hölder-$α$ functions defined on fractals.
Zoltán Buczolich, Balázs Maga, Gáspár Vértesy   +2 more
openaire   +5 more sources

Fractal-fractional estimations of Bullen-type inequalities with applications

Ain Shams Engineering Journal
The study of inequalities inside fractal domains has been stimulated by the growing interest in fractional calculus for the applied and mathematical sciences.
Saad Ihsan Butt, Muhammad Umar Yasin, Sanja Tipurić-Spužević, Bandar Bin-Mohsin   +3 more
doaj   +1 more source