INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Numerical Study of the Dynamics of Particles Motion with Different Sizes from Coal-Based Thermal Power Plant

Global Stability of Nonlinear Feedback Systems with Positive Linear Parts

Application of the Optimal Auxiliary Functions Method to a Permanent Magnet Synchronous Generator

Non-linear Frequency Response and Stability Analysis of Piezoelectric Nanoresonator Subjected to Electrostatic Excitation

An Input Shaping Control Scheme with Application on Overhead Cranes

New Conditions and Numerical Checking Method for the Practical Stability of Fractional Order Positive Discrete-Time Linear Systems

Effect of Fractional Damping in Double-Well Duffing–Vander Pol Oscillator Driven by Different Sinusoidal Forces

Dynamic Behavior of an SIR Epidemic Model along with Time Delay; Crowley–Martin Type Incidence Rate and Holling Type II Treatment Rate

Stability and Bifurcation Analysis in a Discrete-Time SIR Epidemic Model with Fractional-Order

A Study on Impulsive Hilfer Fractional Evolution Equations with Nonlocal Conditions

Fractional Navier–Stokes Equation from Fractional Velocity Arguments and Its Implications in Fluid Flows and Microfilaments

Lie Symmetries, One-Dimensional Optimal System and Group Invariant Solutions for the Ripa System

Thermal Effect on Dynamics of Beam with Variable-Stiffness Nonlinear Energy Sink

Monotone Iterative Technique for Periodic Boundary Value Problem of Fractional Differential Equation in Banach Spaces

A Highly Accurate Collocation Method for Linear and Nonlinear Vibration Problems of Multi-Degree-Of-Freedom Systems Based on Barycentric Interpolation

Representation of Solutions and Finite Time Stability for Delay Differential Systems with Impulsive Effects

Existence Theory and Stability Analysis of Fractional Langevin Equation

Weak Solutions for Fractional Differential Equations via Henstock–Kurzweil–Pettis Integrals

The Logarithmic (1+1) $\\boldsymbol{(1+1)}$-Dimensional KdV-Like and (2+1) $\\boldsymbol{(2+1)}$-Dimensional KP-Like Equations: Lie Group Analysis, Conservation Laws and Double Reductions

Results on Controllability of Nonlinear Hilfer Fractional Stochastic System

Amplitude Incremental Method: A Novel Approach to Capture Stable and Unstable Solutions of Harmonically Excited Vibration Response of Functionally Graded Beams under Large Amplitude Motion

Two-Phase Flow of Fluid-Particle Interaction over a Stretching Sheet in the Presence of Magnetic Field

Thermal Analysis of Longitudinal Fin with Temperature-Dependent Properties and Internal heat Generation by a Novel Intelligent Computational Approach Using Optimized Chebyshev Polynomials

Dynamic Analysis of a Composite Structure under Random Excitation Based on the Spectral Element Method

Numerical Solution of Space and Time Fractional Telegraph Equation: A Meshless Approach

The Optimal Design of a Functionally Graded Corrugated Cylindrical Shell under Axisymmetric Loading

Fourth-Order Spatial and Second-Order Temporal Accurate Compact Scheme for Cahn–Hilliard Equation

Comparison between 2D and 3D Simulation of Contact of Two Deformable Axisymmetric Bodies

Some Novel Solitary Wave Characteristics for a Generalized Nonlocal Nonlinear Hirota (GNNH) Equation

Remarks on the Covering of the Possible Motion Area by Solutions in Rigid Body Systems

On the Numerical Computation of the Mittag–Leffler Function

Pulse Inputs Affect Timings of Spikes in Neurons with or Without Time Delays

A Method to Solve the Reaction-Diffusion-Chemotaxis System

Dissipativity Analysis of Memristor-Based Fractional-Order Hybrid BAM Neural Networks with Time Delays

Dynamics of an N-Species Gilpin–Ayala Impulsive Competition System

A Multistep Legendre Pseudo-Spectral Method for Nonlinear Volterra Integral Equations

Singular Perturbed Vector Field (SPVF) Applied to Complex ODE System with Hidden Hierarchy Application to Turbocharger Engine Model

A General Method to Study the Co-Existence of Different Hybrid Synchronizations in Fractional-Order Chaotic Systems

Directed Transport in Symmetrically Periodic Potentials Induced by Cross-Correlation among Colored Gaussian Noises

Approximation of p-Biharmonic Problem using WEB-Spline based Mesh-Free Method

Kinetic Flux Vector Splitting Method for Numerical Study of Two-dimensional Ripa Model

Solution of a Moving Boundary Problem for Soybean Hydration by Numerical Approximation

An Efficient Algorithm Based on Extrapolation for the Solution of Nonlinear Parabolic Equations

Numerical Solution of Fractional Sine-Gordon Equation Using Spectral Method and Homogenization

Nonlinear Dynamics Behavior of Tethered Submerged Buoy under Wave Loadings

Unique Solution for Multi-point Fractional Integro-Differential Equations

Effects of Additional Food on the Dynamics of a Three Species Food Chain Model Incorporating Refuge and Harvesting