Fractional Order and Numerical Solution of Application of Modeling to Manage Examination Misconducts

Abstract

The fractional order model of susceptible (honest) students, exposed (lightly involved in misconduct), infected (seriously involved in misconduct), and removed (quitters) students is taken into account. A non-negative unique solution within the domain was established by the stability analysis of the scheme. To estimate the solution of the system of nonlinear fractional differential equations, the Laplace-Adomian Decomposition Method is used. Infinite series are used to obtain at the solutions of fractional differential equations. The model's suggested series solution converges at its exact value. The obtained results correspond to the common scenario.