主题词：Fractional Differential Equations Solutions; Nonlinear Differential Equations Analysis; Numerical methods in inverse problems; Advanced Mathematical Modeling in Engineering; Differential Equations and Boundary Problems; Differential Equations and Numerical Methods; Stability and Controllability of Differential Equations; Numerical methods in engineering; Electromagnetic Scattering and Analysis; advanced mathematical theories; Numerical methods for differential equations; Iterative Methods for Nonlinear Equations; Electromagnetic Simulation and Numerical Methods; Advanced Numerical Methods in Computational Mathematics; Mathematical functions and polynomials; Spectral Theory in Mathematical Physics; Matrix Theory and Algorithms; Algebraic and Geometric Analysis; Advanced Mathematical Physics Problems; Mathematical Analysis and Transform Methods; Holomorphic and Operator Theory; Advanced Harmonic Analysis Research; Nonlinear Partial Differential Equations; Fixed Point Theorems Analysis; Diverse Scientific and Economic Studies