Fractional SPIMR model with Mittag–Leffler kernel: A strategic approach to curtail rumor propagation

This study examines the SPIMR rumor propagation model using the homotopy perturbation transform method (HPTM) with Atangana–Baleanu Caputo (ABC) fractional derivative. The existence and uniqueness of the solution are studied by using Picard–Lindelöf method. The basic reproduction number is calculated via the next-generation matrix method. Both rumor-free and rumor-endemic equilibrium points are determined. The findings, supported by graphical representations, demonstrate the effectiveness of HPTM in solving the SPIMR rumor propagation model, exhibiting its practical relevance in addressing rumor propagation.