主题词：Fractional Differential Equations Solutions; Nonlinear Differential Equations Analysis; Mathematical and Theoretical Epidemiology and Ecology Models; Differential Equations and Numerical Methods; Neural Networks Stability and Synchronization; Differential Equations and Boundary Problems; Nanofluid Flow and Heat Transfer; Fixed Point Theorems Analysis; Nonlinear Dynamics and Pattern Formation; Evolution and Genetic Dynamics; Neural Networks and Applications; Chaos control and synchronization; Nonlinear Waves and Solitons; Advanced Mathematical Modeling in Engineering; Fluid Dynamics and Turbulent Flows; Stability and Controllability of Differential Equations; Mathematical Biology Tumor Growth; Nonlinear Photonic Systems; Stability and Control of Uncertain Systems; Nonlinear Partial Differential Equations; Heat Transfer Mechanisms; Numerical methods for differential equations; stochastic dynamics and bifurcation; COVID-19 epidemiological studies; Heat Transfer and Optimization