主题词：Fractional Differential Equations Solutions; Mathematical and Theoretical Epidemiology and Ecology Models; Nonlinear Waves and Solitons; Numerical methods for differential equations; Iterative Methods for Nonlinear Equations; Matrix Theory and Algorithms; Stochastic processes and financial applications; Complex Systems and Time Series Analysis; Financial Risk and Volatility Modeling; Probabilistic and Robust Engineering Design; Advanced Optimization Algorithms Research; Advanced Control Systems Design; Mathematical functions and polynomials; Statistical Methods and Bayesian Inference; Neural Networks and Applications; Nonlinear Differential Equations Analysis; Statistical Distribution Estimation and Applications; Nonlinear Photonic Systems; Mathematical Biology Tumor Growth; Complex Network Analysis Techniques; Nanofluid Flow and Heat Transfer; COVID-19 epidemiological studies; Neural dynamics and brain function; Gene Regulatory Network Analysis; Stock Market Forecasting Methods