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Approximate Controllability of Fully Nonlocal Stochastic Delay Control Problems Driven by Hybrid Noises

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

In this paper, a class of time-space fractional stochastic delay control problems with fractional noises and Poisson jumps in a bounded domain is cons......

Fat Tail in the Phytoplankton Movement Patterns and Swimming Behavior: New Insights into the Prey-Predator Interactions

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

Phytoplankton movement patterns and swimming behavior are important and basic topics in aquatic biology. Heavy tail distribution exists in diverse tax......

On the Connectivity Measurement of the Fractal Julia Sets Generated from Polynomial Maps: A Novel Escape-Time Algorithm

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

In this paper, a novel escape-time algorithm is proposed to calculate the connectivity's degree of Julia sets generated from polynomial maps. The prop......

Structure, Fractality, Mechanics and Durability of Calcium Silicate Hydrates

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

Cement-based materials are widely utilized in infrastructure. The main product of hydrated products of cement-based materials is calcium silicate hydr......

Numerical Simulation for the Treatment of Nonlinear Predator-Prey Equations by Using the Finite Element Optimization Method

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

This article aims to introduce an efficient simulation to obtain the solution for a dynamical-biological system, which is called the Lotka-Volterra sy......

Study on the Existence of Solutions for a Class of Nonlinear Neutral Hadamard-Type Fractional Integro-Differential Equation with Infinite Delay

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

The existence of solutions for a class of nonlinear neutral Hadamard-type fractional integro-differential equations with infinite delay is researched ......

Generalized Cauchy Process: Difference Iterative Forecasting Model

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

The contribution of this article is mainly to develop a new stochastic sequence forecasting model, which is also called the difference iterative forec......

Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

We present an analytic solvability of a class of Langevin differential equations (LDEs) in the asset of geometric function theory. The analytic soluti......

Simultaneous Characterization of Relaxation, Creep, Dissipation, and Hysteresis by Fractional-Order Constitutive Models

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

We considered relaxation, creep, dissipation, and hysteresis resulting from a six-parameter fractional constitutive model and its particular cases. Th......

Elastic Rough Surface Contact and the Root Mean Square Slope of Measured Surfaces over Multiple Scales

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

This study investigates the predictions of the real contact area for perfectly elastic rough surfaces using a boundary element method (BEM). Sample su......

Fractals Parrondo's Paradox in Alternated Superior Complex System

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

This work focuses on a kind of fractals Parrondo's paradoxial phenomenon "deiconnected+diconnected=connected" in an alternated superior complex system......

Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (2)

In this article, we established a new version of generalized fractional Hadamard and Fejer-Hadamard type integral inequalities. A fractional integral ......

Numerical Analysis of Viscoelastic Rotating Beam with Variable Fractional Order Model Using Shifted Bernstein-Legendre Polynomial Collocation Algorithm

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (1)

This paper applies a numerical method of polynomial function approximation to the numerical analysis of variable fractional order viscoelastic rotatin......

A Tuning Method via Borges Derivative of a Neural Network-Based Discrete-Time Fractional-Order PID Controller with Hausdorff Difference and Hausdorff Sum

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (1)

In this paper, the fractal derivative is introduced into a neural network-based discrete-time fractional-order PID controller in two areas, namely, in......

Electrical Circuits RC, LC, and RLC under Generalized Type Non-Local Singular Fractional Operator

期刊: FRACTAL AND FRACTIONAL, 2021; 5 (1)

The current study is of interest when performing a useful extension of a crucial physical problem through a non-local singular fractional operator. We......

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