Developing a Robust Model Based on the Gaussian Process Regression Approach to Predict Biodiesel Properties by Inna Pustokhina, Amir Seraj, Hafsan Hafsan, Seyed Mojtaba Mostafavi, S. M. Alizadeh

“…., Rational Quadratic, Squared Exponential, Matern, and Exponential, to estimate biodiesel properties. …”
Get full text

Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions by Huaiqin Wu, Guohua Xu, Chongyang Wu, Ning Li, Kewang Wang, Qiangqiang Guo

“…By applying multiple Lyapunov-Krasovskii functional approach and linear matrix inequality (LMI) technique, a delay-dependent sufficient criterion is achieved to ensure such switched neural networks to be globally exponentially stable in terms of LMIs, and the exponential decay estimation is explicitly developed for the states too. …”
Get full text

A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data by Alya Al Mutairi, Muhammad Z. Iqbal, Muhammad Z. Arshad, Ahmed Z. Afify

“…In this study, a new class that generates optimal univariate models called a new exponentiated-G class of distributions is developed. …”
Get full text

Optimal Reinsurance-Investment Problem for an Insurer and a Reinsurer with Jump-Diffusion Process by Hanlei Hu, Zheng Yin, Xiujuan Gao

“…Applying dynamic programming approach and dual theory, the corresponding Hamilton-Jacobi-Bellman equations are derived and the optimal strategies for exponential utility function are obtained. In addition, several sensitivity analyses and numerical illustrations in the case with exponential claiming distributions are presented to analyze the effects of parameters about the optimal strategies.…”
Get full text

Experimental study of the moisture content influence on CH adsorption and deformation characteristics of cylindrical bituminous coal core by Dingyi Hao, Lei Zhang, Mingxue Li, Shihao Tu, Cun Zhang, Qingsheng Bai, Chen Wang

“…Drying experiments of coal samples showed that they lose the original moisture content following the exponential decay function of time. At wetting, the saturated moisture content in coal samples increased following the Exponential Association function of time. …”
Get full text

Adaptive Numerical Method for Approximation of Traffic Flow Equations by Neda Najafzadeh, Saeid Abbasbandy, Elyas Shivanian

“…In the proposed method, we also use the exponential time differencing (ETD) method and the exponential time differencing fourth-order Runge–Kutta (ETDRK4). …”
Get full text

On the use of the stepped isostress method in the prediction of creep behavior of polyamide 6 by Lakhdar Sedira, Mohsein Tedjini, Belhi Guerira, Kamel Meftah

“…The rescaling process has shown an appropriate time, whether achieved by the exponential or power functions. Larger shift factors for exponential functions are assessed and therefore a long period of creep master curve was obtained. …”
Get full text

Tracking Control Based on Recurrent Neural Networks for Nonlinear Systems with Multiple Inputs and Unknown Deadzone by J. Humberto Pérez-Cruz, José de Jesús Rubio, E. Ruiz-Velázquez, G. Solís-Perales

“…By using a Lyapunov analysis, the exponential convergence of the identification error to a bounded zone is demonstrated. …”
Get full text

On the use of the stepped isostress method in the prediction of creep behavior of polyamide 6 by Lakhdar Sedira, Mohsein Tedjini, Belhi Guerira, Kamel Meftah

“…The rescaling process has shown an appropriate time, whether achieved by the exponential or power functions. Larger shift factors for exponential functions are assessed and therefore a long period of creep master curve was obtained. …”
Get full text

Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems by Qi Wang, Jiechang Wen

“…This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems. The exponential θ-method is applied to p′(t)=β0ωμp(t−τ)/(ωμ+pμ(t−τ))−γp(t) and it is shown that the exponential θ-method has the same order of convergence as that of the classical θ-method. …”
Get full text

Some Qualitative Properties of Traveling Wave Fronts of Nonlocal Diffusive Competition-Cooperation Systems of Three Species with Delays by Meiping Yao, Pengzhi Qiao, Yang Wang

“…By modified version of Ikehara’s theorem, we prove that the traveling wave fronts of such system decay exponentially at negative infinity, and one component of such solutions also decays exponentially at positive infinity. …”
Get full text

Permeability Models for Magma Flow through the Earth's Mantle: A Lie Group Analysis by N. Mindu, D. P. Mason

“…It is shown that the partial differential equation admits, as well as translations in time and space, other Lie point symmetries provided the permeability is either a power law or an exponential law of the voidage or is a constant. A rarefactive solitary wave solution of the partial differential equation is derived in the form of a quadrature for the exponential law for the permeability.…”
Get full text

Effects of Freezing and Thawing Cycle on Mechanical Properties and Stability of Soft Rock Slope by Yanlong Chen, Peng Wu, Qing Yu, Guang Xu

“…Such stability coefficient presents a negative exponential reduction. After three freezing and thawing cycles, the slope stability coefficient only changes slightly. …”
Get full text

Krylov complexity in 2d CFTs with SL(2, ℝ) deformed Hamiltonians by Vinay Malvimat, Somnath Porey, Baishali Roy

“…However, in the large-c CFT, the behaviour varies, with the K-Complexity once again displaying exponential growth in the heating phase and polynomial growth at the phase boundary. …”
Get full text

Fourier Spectral Method for a Class of Nonlinear Schrödinger Models by Lei Zhang, Weihua Ou Yang, Xuan Liu, Haidong Qu

“…In this paper, Fourier spectral method combined with modified fourth order exponential time-differencing Runge-Kutta is proposed to solve the nonlinear Schrödinger equation with a source term. …”
Get full text

Asymptotic Study of the 2D-DQGE Solutions by Jamel Benameur, Mongi Blel

“…We prove that if the initial data is small enough in the critical space H˙2-2α(R2), then the regularity of the solution is of exponential growth type with respect to time and its H˙2-2α(R2) norm decays exponentially fast. …”
Get full text

HDNLS: Hybrid Deep-Learning and Non-Linear Least Squares-Based Method for Fast Multi-Component T1ρ Mapping in the Knee Joint by Dilbag Singh, Ravinder R. Regatte, Marcelo V. W. Zibetti

“…Non-linear least squares (NLS) methods are commonly used for quantitative magnetic resonance imaging (MRI), especially for multi-exponential T1ρ mapping, which provides precise parameter estimation for different relaxation models in tissues, such as mono-exponential (ME), bi-exponential (BE), and stretched-exponential (SE) models. …”
Get full text

Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators by K. Zhukovsky

“…We develop the methodology of inverse and exponential operators, employing them for the study of partial differential equations. …”
Get full text

Nonlinear stability of traveling wavefronts in an age-structured reaction-diffusion population model by Guangrui Li, Ming Mei, Yau Shu Wong

“…The exponential convergent rate(in time) of the solution is obtained. …”
Get full text

On the Expected Discounted Penalty Function for the Classical Risk Model with Potentially Delayed Claims and Random Incomes by Huiming Zhu, Ya Huang, Xiangqun Yang, Jieming Zhou

“…Finally, for the exponential claim sizes, we present the explicit formula for the expected discounted penalty function.…”
Get full text