Fractional Calculus Theoretical Evolution for Radiation Quantities

Problem statement: Radiation dosimetry features depend on semi-empirical formulas that lack a strong mathematical framework. This is due to the fact that the microscopic radiation interaction with matter includes energy losses that have never been described properly in quantum mechanics, which deals with conserved energy systems. Approach: Using the recent theory of the quantization of nonconservative systems using fractional calculus. Results: Most important charged particle interaction features and consequences like energy loss, stopping power, range, absorbed dose and radiotoxicity are frame-worked mathematically. Conclusion: The results manifest a good agreement with experimental and semi-empirical results.