Modelling and Interpretation of Adsorption Isotherms by Nimibofa Ayawei, Augustus Newton Ebelegi, Donbebe Wankasi

“…Therefore, this paper presents an overall review of the applications of adsorption isotherms, the use of linear regression analysis, nonlinear regression analysis, and error functions for optimum adsorption data analysis.…”
Get full text

On Fractional Diffusion Equation with Caputo-Fabrizio Derivative and Memory Term by Binh Duy Ho, Van Kim Ho Thi, Long Le Dinh, Nguyen Hoang Luc, Phuong Nguyen

“…In this paper, we examine a nonlinear fractional diffusion equation containing viscosity terms with derivative in the sense of Caputo-Fabrizio. …”
Get full text

Optimally stable fifth-order integration methods: a numerical approach by D. J. Rodabaugh, S. Thompson

“…Also described is a practical and efficient nonlinear optimization procedure which made it possible to locate in a precise manner the methods of this type which possess optimal ranges of relative stability in the sense-that the corresponding relative stability regions contain maximal disks centered at the origin.…”
Get full text

On Differential Equations Derived from the Pseudospherical Surfaces by Hongwei Yang, Xiangrong Wang, Baoshu Yin

“…By employing the Bäcklund transformation, nonlinear superposition formulas of sinh-Gordon equation and elliptic sinh-Gordon equation are derived; various new exact solutions of the equations are obtained.…”
Get full text

Bifurcations of Tumor-Immune Competition Systems with Delay by Ping Bi, Heying Xiao

“…A tumor-immune competition model with delay is considered, which consists of two-dimensional nonlinear differential equation. The conditions for the linear stability of the equilibria are obtained by analyzing the distribution of eigenvalues. …”
Get full text

Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays by R. Sakthivel, P. Revathi, N. I. Mahmudov

“…We study the existence and asymptotic stability in pth moment of a mild solution to a class of nonlinear fractional neutral stochastic differential equations with infinite delays in Hilbert spaces. …”
Get full text

Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations by Xiangling Li, Azmat Ullah Khan Niazi, Farva Hafeez, Reny George, Azhar Hussain

“…The most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type. …”
Get full text

The generalized Turner-Bradley-Kirk-Pruitt equation by Ray Redheffer

“…Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner-Bradley-Kirk-Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. …”
Get full text

The Rate at Which the Energy of Solutions for a Class of p-Laplacian Wave Equation Decays by Soufiane Mokeddem, Khaled Ben Walid Mansour

“…For this end we use the multiplier method combined with nonlinear integral inequalities given by Martinez; the proof is based on the construction of a special weight function that depends on the behavior of σ.…”
Get full text

Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments by A. T. Ademola, B. S. Ogundare, M. O. Ogundiran, O. A. Adesina

“…The behaviour of solutions for certain third-order nonlinear differential equations with multiple deviating arguments is considered. …”
Get full text

Global Dynamics of Rational Difference Equations xn+1=xn+xn-1/q+ynyn-1 and yn+1=yn+yn-1/p+xnxn-1 by Keying Liu, Peng Li, Weizhou Zhong

“…Global dynamics of a system of nonlinear difference equations was investigated, which had five kinds of equilibria including isolated points and a continuum of nonhyperbolic equilibria along the coordinate axes. …”
Get full text

Interpolation of Gentle Spaces by Mourad Ben Slimane, Hnia Ben Braiek

“…Further, an application to nonlinear approximation is presented.…”
Get full text

Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets by Davide Catania

“…This is a preliminary result to the study of linearized variable-coefficient current-vortex sheets, a first step to prove the existence of solutions to the nonlinear problem.…”
Get full text

Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations by Daouda Sangare

“…The transport equation with a nonlinear feedback is solved using a fixed-point method.…”
Get full text

Global Sensitivity Analysis of the Vibration Reduction System with Seated Human Body by Igor Maciejewski, Tomasz Krzyzynski

“…The variance-based method is used to evaluate an influence of nonlinear force characteristics on the system dynamics. …”
Get full text

Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems by Cheng Wang, Tao Tang, Dewang Chen

“…By using the iterative search, a least-squares based iterative algorithm and a gradient based iterative algorithm are proposed. A nonlinear example is used to verify the effectiveness of the algorithms, and the simulation results show that the least-squares based iterative algorithm can produce more accurate parameter estimates than the gradient based iterative algorithm.…”
Get full text

On the Solutions of a System of Third-Order Rational Difference Equations by A. M. Alotaibi, M. S. M. Noorani, M. A. El-Moneam

“…The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. …”
Get full text

Existence of extremal periodic solutions for quasilinear parabolic equations by Siegfried Carl

“…The main tools used in the proof of our result are recently obtained abstract results on nonlinear evolution equations, comparison and truncation techniques and suitably constructed special testfunction.…”
Get full text

Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation by Huanhe Dong, Yanfeng Zhang, Yongfeng Zhang, Baoshu Yin

“…We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials, and a general Riemann theta function in terms of the Hirota method. …”
Get full text

A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications by Yuji Liu, Bashir Ahmad

“…We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. …”
Get full text