ON NONLINEAR EVOLUTION MODEL FOR DRINKING BEHAVIOR UNDER CAPUTO-FABRIZIO DERIVATIVE

The investigation of this research article is the development of studying the dynamical behavior of the drinking population through the fractional drinking model in the sense of Caputo-Fabrizio (CF) arbitrary order operator along with the special non-singular kernel. The proposed system is analyzed for existence result and uniqueness of solution by applying fixed point theory and Picard's technique. Also on utilizing Adams-Bashforth method (ABM) of numerical analysis to interpret the approximate results through plots to observe dynamical behavior corresponding to different fractional order. For the mentioned simulation some real initial and parameter data are used.

Automated summary

The investigation of this research article focuses on studying the dynamical behavior of the drinking population using the CF arbitrary order operator and a special non-singular kernel. The proposed system is analyzed for existence and uniqueness of solution using fixed point theory and Picard's technique. Numerical analysis using the ABM method is also utilized to interpret the approximate results and observe the dynamical behavior corresponding to different fractional orders.