Generalized UH-stability of a nonlinear fractional coupling (p1,p2)-Laplacian system concerned with nonsingular Atangana-Baleanu fractional calculus

The classical p-Laplace equation is one of the special and significant second-order ODEs. The fractional-order p-Laplace ODE is an important generalization. In this paper, we mainly treat with a nonlinear coupling (p(1),p(2))-Laplacian systems involving the nonsingular Atangana-Baleanu (AB) fractional derivative. In accordance with the value range of parameters p(1) and p(2), we obtain sufficient criteria for the existence and uniqueness of solution in four cases. By using some inequality techniques we further establish the generalized UH-stability for this system. Finally, we test the validity and practicality of the main results by an example.