主题词：Fractional Differential Equations Solutions; Advanced Mathematical Theories and Applications; Geometric Analysis and Curvature Flows; Nonlinear Waves and Solitons; Advanced Differential Geometry Research; Advanced Numerical Analysis Techniques; Algebraic and Geometric Analysis; Mathematical functions and polynomials; Differential Equations and Numerical Methods; Advanced Mathematical Theories; Mathematics and Applications; Iterative Methods for Nonlinear Equations; Mathematical Inequalities and Applications; Cultural Heritage Materials Analysis; Fuzzy and Soft Set Theory; Nonlinear Differential Equations Analysis; Numerical methods for differential equations; Statistical Distribution Estimation and Applications; Advanced Mathematical Identities; Building materials and conservation; Fixed Point Theorems Analysis; Geometry and complex manifolds; Survey Sampling and Estimation Techniques; Matrix Theory and Algorithms; Advanced Algebra and Logic