Existence and localization of harmonic and sub-harmonic solutions of second order non-linear differential equation. Saddle-node bifurcation control for an odd non-linearity problem. Control of the nonlinear oscillator Bifurcation under a super-harmonic resonance. The response of nonlinear controlled system under an external excitation via time delay state feedback Harmonic Solution of a Weakly Non-linear Second Order Differential Equation Governed the Motion of a TM-AFM Cantilever Periodic Solutions of a Modified Duffing Equation Subjected to a Bi-Harmonic Parametric and External Excitations Superharmonic Solutions of Order (2,3) to a MEMS Governed the Motion of a TM-AFM Cantilever Generalized thermoelastic-diffusion model with higher-order fractional time-derivatives and four-phase-lags Harmonic and Sub-Harmonic Periodic Solutions (1/2; 1/3) Mathieu- of Generalized Van der Pol-Duffing Equations Thermoelastic response of a rotating hollow cylinder based on generalized model with higher order derivatives and phase-lags A generalized heat conduction model of higher‑order time derivatives and three‑phase‑lags for non‑simple thermoelastic materials Thermoelastic Vibrations of Nonlocal Nanobeams Resting on a Pasternak Foundation via DPL Model Thermoelastic Processes by a Continuous Heat Source Line in an Infinite Solid via Moore–Gibson–Thompson Thermoelasticity Generalized thermoviscoelastic novel model with different fractional derivatives and multi-phase-lags Thermoelastic responses in rotating nanobeams with variable physical properties due to periodic pulse heating Thermal vibration in rotating nanobeams with temperature-dependent due to exposure to laser irradiation Analysis of Non-Linear Radiation and Activation Energy Analysis on Hydromagnetic Reiner–Philippoff Fluid Flow with Cattaneo–Christov Double Diffusions Impact of Variable Fluid Properties and Double Diffusive Cattaneo–Christov Model on Dissipative Non-Newtonian Fluid Flow Due to a Stretching Sheet