主题词：Differential Equations and Boundary Problems; Differential Equations and Numerical Methods; Advanced Mathematical Modeling in Engineering; Spectral Theory in Mathematical Physics; Advanced Harmonic Analysis Research; Nonlinear Differential Equations Analysis; Numerical methods for differential equations; Numerical methods in inverse problems; advanced mathematical theories; Fractional Differential Equations Solutions; Algebraic and Geometric Analysis; Holomorphic and Operator Theory; Mathematical Analysis and Transform Methods; Mathematical Inequalities and Applications; Approximation Theory and Sequence Spaces; Nonlinear Partial Differential Equations; Nonlinear Waves and Solitons; Matrix Theory and Algorithms; Stability and Controllability of Differential Equations; Mathematical functions and polynomials; Mathematical Approximation and Integration; Material Science and Thermodynamics; Geometric Analysis and Curvature Flows; Neural Networks and Applications; Quantum chaos and dynamical systems