The main problem with fractal image compression is that it takes a lot of computational time for searching blocks (domain block and range block) and then compares these blocks. There are many optimization techniques which are used to improve efficiency of fractal image compression. Some of these are particle swarm optimization, ant colony optimization and biogeography based optimization. In thi...

The fruit fly optimization algorithm (FOA) is a global optimization algorithm inspired by the foraging behavior of a fruit fly swarm. In this study, a novel stochastic fractal model based fruit fly optimization algorithm is proposed for multiobjective optimization. A food source generating method based on a stochastic fractal with an adaptive parameter updating strategy is introduced to improve...

Financial market time series exhibit high degrees of non-linear variability, and frequently have fractal properties. When the fractal dimension of a time series is non-integer, this is associated with two features: (1) inhomogeneity— extreme fluctuations at irregular intervals, and (2) scaling symmetries— proportionality relationships between fluctuations over different separation distances. In...

In this paper the technique of Genetic Algorithm (GA) is applied for Fractal Image Compression (FIC). With the help of this evolutionary algorithm effort is made to reduce the search complexity of matching between range block and domain block. One of the image compression techniques in the spatial domain is Fractal Image Compression but the main drawback of FIC is that it involves more computat...

Traditional dimension reduction methods about similarity query introduce the smoothness to data series in some degree, but lead to the disappearance of the important features of time series about non-linearity and fractal. The matching method based on wavelet transformation measures the similarity by using the distance standard at some resolution level. But in the case of an unknown fractal dim...

This paper is concerned with the stability and stabilization problem of a Takagi-Sugeno fuzzy (TSF) system. Using non-quadratic function (well-known integral Lyapunov candidate (ILF)) some lemmas, new sufficient conditions are established as linear matrix inequalities (LMIs), which solved stochastic fractal search (SFS). The main advantage technique used its small conservatives. Motivated by me...

In this paper, we study a class of time-fractal-fractional stochastic differential equations with the fractal–fractional operator Atangana under meaning Caputo and kernel power law type. We first establish Hölder continuity solution equation. Then, certain averaging conditions, show that solutions original can be approximated by associated averaged in sense mean square convergence. As an applic...

The origin of log-periodic oscillations around the power-law trend of the escape probability from a precritical attractor and of the noise-free stochastic multiresonance, found in numerical simulations in chaotic systems close to crises is discussed. It is shown that multiple maxima of the spectral power amplification vs. the control parameter result from a fractal structure of a precritical at...