On System of Variable Order Nonlinear p-Laplacian Fractional Differential Equations with Biological Application

The study of variable order differential equations is important in science and engineering for a better representation analysis dynamical problems. In the literature, there are several fractional operators involving orders. this article, we construct nonlinear system with p-Laplacian operator. presumed problem general class orders ABC sense derivatives combination Caputo’s derivative. We investigate existence solutions Hyers–Ulam stability considered equation. hybrid nature has lot applications. have given its particular example as waterborne disease model which analysed numerical computations different results obtained an advantage over constant that simulations present fluctuation real dynamics throughout our observations simulations.