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A Robust Numerical Simulation of a Fractional Black–Scholes Equation for Pricing American Options
After the discovery of fractal structures of financial markets, fractional partial differential equations (fPDEs) became very popular in studying...
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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...
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Observability of Time-Varying Fractional Dynamical Systems with Caputo Fractional Derivative
Modeling dynamical systems with real-life data having time-dependent disturbances is better captured with time-varying systems. The qualitative...
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A variational theory for integral functionals involving finite-horizon fractional gradients
The center of interest in this work are variational problems with integral functionals depending on nonlocal gradients with finite horizon that...
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An efficient operational matrix technique to solve the fractional order non-local boundary value problems
This article deals with constructing an operational matrix method based on fractional-order Lagrange polynomials to solve the non-local boundary...
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Limitations and applications in a fractional Barbalat’s Lemma
Barbalat’s Lemma is a mathematical result that can lead to the solution of many asymptotic stability problems. On the other hand, Fractional Calculus...
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Fractional optimal control strategies for hepatitis B virus infection with cost-effectiveness analysis
Hepatitis B disease is a communicable disease that is caused by the hepatitis B virus and has become a significant health problem in the world. It is...
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Fractal fractional model for tuberculosis: existence and numerical solutions
This paper deals with the mathematical analysis of Tuberculosis by using fractal fractional operator. Mycobacterium TB is the bacteria that causes...
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Polynomial Stability of the Laminated Beam with One Discontinuous Local Internal Fractional Dam**
AbstractIn this paper, we are concerned with the stabilization of a laminated beam with one discontinuous local internal fractional dam**. We...
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Optimal Information Fusion Descriptor Fractional Order Kalman Filter
The fractional order Kalman filtering theory is an extension and extension of traditional integer order Kalman filters, which can solve the state...
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A reduction technique to solve the (2+1)-dimensional KdV equations with time local fractional derivatives
This paper investigates the (2+1)-dimensional Korteweg-de Vries (KdV) equation with a local M-derivative and beta derivative in the time direction....
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Fractional-Order SMC for the Deployment of STS
This chapter proposes a FO integral sliding mode control with the order $$0<\nu...
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Hardware implementation of particle swarm optimization with chaotic fractional-order
Engineering optimization methods based on meta-heuristic algorithms are computationally demanding and might present complex implementation issues for...
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Fractional Order Complementary Non-singular Terminal Sliding Mode Control of PMSM Based on Neural Network
Aiming at the sensitivity problems of uncertain factors such as parameter variation, external disturbance and friction for the permanent magnet...
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Improved Fractional-Order Sliding-Mode Voltage Controller-Based MPDPC Strategy for PV Grid-Connected
An improved fractional-order sliding-mode voltage controller is proposed for the problems of system jitter and high total harmonic distortion (THD)...
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An Efficient Local Meshfree Method for Signal Smoothing by a Time–Fractional Nonlinear Diffusion Equation
The nonlinear diffusion model is considered a suitable approach to reduce the noise in signals. The time-fractional nonlinear diffusion equation has...
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Fractional Wave Models and Their Experimental Applications
A focused summary of one- and two-dimensional models for linear and nonlinear wave propagation in fractional media is given. The basic models, which...
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Naimark Problem for a Fractional Ordinary Differential Equation
AbstractFor a fractional ordinary differential equation, we consider a problem where the boundary conditions are given in the form of linear...