主题词：Fractional Differential Equations Solutions; Advanced Mathematical Identities; Mathematical and Theoretical Epidemiology and Ecology Models; Nonlinear Differential Equations Analysis; Mathematical functions and polynomials; Advanced Combinatorial Mathematics; Iterative Methods for Nonlinear Equations; Numerical methods in inverse problems; Analytic Number Theory Research; Differential Equations and Numerical Methods; Numerical methods for differential equations; Analytic and geometric function theory; Nonlinear Waves and Solitons; Mathematical Inequalities and Applications; Differential Equations and Boundary Problems; COVID-19 epidemiological studies; Optimization and Variational Analysis; Fuzzy Systems and Optimization; Matrix Theory and Algorithms; Advanced Control Systems Design; Advanced Mathematical Modeling in Engineering; Functional Equations Stability Results; Seismic Imaging and Inversion Techniques; Structural Health Monitoring Techniques; Probabilistic and Robust Engineering Design