Fractional Calculus Function Toolbox

This toolbox provides a comprehensive set of fractional-order functions designed to solve various mathematical problems. These functions are particularly useful for studying fractal structures and nonlinear phenomena, which are prevalent in modern scientific and engineering applications. The implementation includes numerical methods for fractional calculus operations, such as Grünwald-Letnikov and Riemann-Liouville definitions, with optimized algorithms for computational efficiency. Within the toolbox, users can find practical utilities and techniques, including methods for approximating solutions to differential equations using fractional operators, and applications of fractional calculus in signal processing and control systems. Key functions include fractional differentiation/integration routines, Mittag-Leffler function implementations, and numerical solvers for fractional differential equations. The code structure features modular design with clear input/output parameters, error handling, and performance optimization for large-scale computations. If you are studying fractional calculus or need to apply these concepts to practical problems, this toolbox provides essential computational resources with detailed documentation and usage examples.