Search
Search Results
-
Traveling Waves in Fractional Models
Fractional models of the Korteweg-de Vries (KdV) type are discussed in the context of propagation of one-dimensional traveling waves in nonlocal...
-
On the variable-order fractional derivatives with respect to another function
In this paper, we present various concepts concerning generalized fractional calculus, wherein the fractional order of operators is not constant, and...
-
BLDC Speed Control Based on Fractional PID Controller
Fractional order systems are dynamical systems described by fractional order differential equations. The goal of fractional calculus is to generalize...
-
Fractional Calculus
In this chapter, we describe basic properties of fractional-order integrals and derivatives, including Riemann-Liouville fractional integral and...
-
Fractional particle and sigma model
We introduce a classical fractional particle model in ℝ n , extending the Newtonian particle concept with the incorporation of the fractional...
-
A novel diffusive representation of fractional calculus to stability and stabilisation of noncommensurate fractional-order nonlinear systems
The article shows a new tantamount description of Caputo’s fractional calculus through use of an assistant binary function. Applying the concepts of...
-
Adaptive fractional-order genetic-particle swarm optimization Otsu algorithm for image segmentation
The two-dimensional (2D) Otsu algorithm used in image segmentation considers both the gray scale information of the image and the spatial information...
-
Local Hölder continuity for fractional nonlocal equations with general growth
We study generalized fractional p -Laplacian equations to prove local boundedness and Hölder continuity of weak solutions to such nonlocal problems by...
-
Some Results Related with n—variables Non Conformable Fractional Derivatives
The present work introduces some results on functions of several variables in the fractional calculus setting. In addition to defining the...
-
An analytical study of Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy fourier transform under generalized Hukuhara Caputo fractional differentiability
Pythagorean fuzzy fractional calculus provides a strong framework for modeling and analyzing complicated systems with uncertainty and indeterminacy....
-
A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising
Image denoising approaches based on partial differential modeling have attracted a lot of attention in image processing due to their high...
-
Fractal Calculus for CERTs
Operator algebra is introduced without being explicit about how we do things but hopefully conveys in words what we do not show with formal...
-
Homogeneity-Based Exponential Stability Analysis for Conformable Fractional-Order Systems
We study the exponential stability of homogeneous fractional time-varying systems and the existence of Lyapunov homogeneous function for the...
-
A fractional osmosis model for image fusion
This paper introduces a novel model for image fusion that is based on a fractional-order osmosis approach. The model incorporates a definition of...
-
Research on Fractional-Order Sliding Mode PMSM Speed Regulation Based on Load Observer
In this paper, a fractional-order sliding mode control (FOSMC) strategy based on load observer is proposed. First, a FOSMC strategy is designed to...
-
Application of Newton’s polynomial interpolation scheme for variable order fractional derivative with power-law kernel
This paper, offers a new method for simulating variable-order fractional differential operators with numerous types of fractional derivatives, such...
-
Efficient spectral collocation method for fractional differential equation with Caputo-Hadamard derivative
Hadamard type fractional calculus involves logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenge in...
-
A novel fractional-order flocking algorithm for large-scale UAV swarms
The rate of convergence is a vital factor in determining the outcome of the mission execution of unmanned aerial vehicle (UAV) swarms. However, the...
