ANALYZING THE RADIATION OF RADIUM ATOMS BY USING FRACTALS AND FRACTIONAL ANALYSIS

Fractals fractional differential operators have numerous applications in investigating different real-world problems. The mentioned area has the ability to describe the complex geometry in more sophisticated ways. Therefore, keeping in mind the importance of the mentioned area, the fractals calculus coupled with fractional calculus is used to investigate the radiation of radioactive decay of radium atoms. First of all, we have formulated the procedures in terms of fractals fractional differential equations with some initial conditions. Then, on using the fractals integral transform, exact solutions of the considered model are computed. To demonstrate the procedure, various graphical presentations are given for various fractals and fractional order values by using MATLAB 14.