主题词：Fractional Differential Equations Solutions; Differential Equations and Numerical Methods; Fixed Point Theorems Analysis; Iterative Methods for Nonlinear Equations; Nonlinear Waves and Solitons; Nonlinear Differential Equations Analysis; Numerical methods in engineering; Numerical methods for differential equations; Mathematical functions and polynomials; Optimization and Variational Analysis; Advanced Optimization Algorithms Research; Optimization and Mathematical Programming; Multi-Criteria Decision Making; Approximation Theory and Sequence Spaces; Statistical Distribution Estimation and Applications; Fuzzy and Soft Set Theory; Functional Equations Stability Results; Differential Equations and Boundary Problems; Matrix Theory and Algorithms; Fuzzy Systems and Optimization; Stochastic processes and financial applications; Nonlinear Photonic Systems; Probabilistic and Robust Engineering Design; Advanced Differential Geometry Research; Nanofluid Flow and Heat Transfer