Results 61 to 70 of about 9,271,467 (193)
Novel Technique for Solving Fractional-Order Rabies Model With Computational Simulations
International Journal of Differential EquationsMathematical modeling using noninteger-order derivatives has gained rapid attention among scientists and researchers in recent years. This manuscript investigates the dynamics of rabies transmission in a predator–prey framework by formulating the problem
Hafiza Aansa Islam +2 more
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Numerical investigation of a fractional model of a tumor-immune surveillance via Caputo operator
Alexandria Engineering JournalFractional calculus has become a potent tool for simulating the complexity of interactions in tumor-immune system dynamics. This paper investigates the existence and uniqueness of its approximation solutions of a fractional model of tumor-immune ...
Saleh Alshammari +4 more
doaj +1 more source
, 2023 In this paper, we compile the fractional power series method and the Laplace transform to design a new algorithm for solving the fractional Volterra integro-differential equation.
Abedel-Karrem Alomari +3 more
core +1 more source
Linear Mechatronic Modeling of Rectangular Tank Sloshing Dynamics
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Sloshing dynamics in partially filled tanks can strongly influence system‐level behavior when fluid motion couples with rigid‐body dynamics. This paper presents a linear and acausal two‐dimensional sloshing model for rectangular tanks, based on the reformulation of established sloshing theory within a modular, multi‐domain modeling framework ...
Magnus Steinstø, Eilif Pedersen
wiley +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In privacy protection of control systems, a trade‐off between control performance and privacy level is often pointed out. Our goal in this paper is to improve this trade‐off by shaping the frequency of noise added for privacy protection when the control objective is to track a reference signal, which is taken as a piece of information whose ...
Rintaro Watanabe +3 more
wiley +1 more source
MathematicsThis work presents a reliable algorithm to obtain approximate analytical solutions for a strongly coupled system of singularly perturbed convection–diffusion problems, which exhibit a boundary layer at one end. The proposed method involves constructing a
Essam R. El-Zahar +2 more
doaj +1 more source
Deep Reinforcement Learning‐Based Control for Real‐Time Hybrid Simulation of Civil Structures
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Real‐time Hybrid Simulation (RTHS) is a cyber‐physical technique that studies the dynamic behavior of a system by combining physical and numerical components that are coupled through a boundary condition enforcer. In structural engineering, the numerical components are subjected to environmental loads that become dynamic displacements of the ...
Andrés Felipe Niño +6 more
wiley +1 more source
International Journal of Differential EquationsThis paper develops a Laplace–Residual Power Series Method (L-RPSM) for solving nonlinear time-fractional wave systems in the Caputo sense. The method combines the Laplace transform with a residual power series expansion to construct approximate ...
Fares Bekhouche +6 more
doaj +1 more source