This paper is devoted to investigating the numerical solution for a class of fractional diffusion-wave equations with a variable coefficient where the fractional derivatives are described in the Caputo sense. The approach is based on the collocation technique where the shifted Chebyshev polynomials in time and the sinc functions in space are utilized, respectively. The problem is reduced to the solution of a system of linear algebraic equations. Through the numerical example, the procedure is tested and the efficiency of the proposed method is confirmed.
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http://dx.doi.org/10.1155/2014/143983 | DOI Listing |
Chaos
January 2025
School of Mathematics and Statistics, University of Hyderabad, Hyderabad 500046, India.
The differential equations involving two discrete delays are helpful in modeling two different processes in one model. We provide the stability and bifurcation analysis in the fractional order delay differential equation Dαx(t)=ax(t)+bx(t-τ)-bx(t-2τ) in the ab-plane. Various regions of stability include stable, unstable, single stable region (SSR), and stability switch (SS).
View Article and Find Full Text PDFJ Appl Physiol (1985)
January 2025
School of Sport, Exercise, and Health Science; Loughborough University (UK).
This study assessed the cardiorespiratory fitness, running biomechanics, muscle architecture and training characteristics of a 76-year-old female runner who currently holds the world record 1500m to marathon in the women's 75-79 age category. maximal oxygen uptake (V̇O), running economy (RE), lactate threshold (LT) and lactate turnpoint (LTP), maximal heart rate (HR), and running biomechanics were measured during a discontinuous treadmill protocol followed by a maximal incremental test. Muscle architecture was assessed using ultrasound.
View Article and Find Full Text PDFSci Rep
January 2025
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia.
The monkeypox virus (MPXV), which is a member of the Orthopoxvirus genus in the class Poxviridae, is the causative agent of the zoonotic viral infection MPXV. The disease is similar to smallpox, but it is usually less dangerous. This study examines the evolution of the MPXV epidemic in Canada with an emphasis on the effects of control employing actual data.
View Article and Find Full Text PDFEur Heart J Imaging Methods Pract
January 2025
Department of Clinical Internal, Anesthesiological and Cardiovascular Sciences, Sapienza University of Rome, Viale del Policlinico 155, Rome 00161, Italy.
Aims: Outcome in pulmonary arterial hypertension (PAH) is determined by right ventricular (RV) function adaptation to increased afterload. Echocardiography is easily available to assist bedside evaluation of the RV. However, no agreement exists about the feasibility and most relevant measurements.
View Article and Find Full Text PDFNeural Netw
December 2024
Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen 518055, PR China. Electronic address:
The article discusses an improved memory-event-triggered strategy for H control class of fractional-order neural networks (FONNs) with uncertainties, which are vulnerable to deception attacks. The system under consideration is simultaneously influenced by external disturbances, network-induced time delays, uncertainties, and deception attacks. The suggested enhanced memory event-triggered framework enhances communications security measures and conserves network bandwidth compared to standard control strategies.
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