**Metib Alghamdi**

Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia; malgamdy@kku.edu.sa

Received: 5 December 2019; Accepted: 2 January 2020; Published: 9 January 2020

**Abstract:** This article explores magnetohydrodynamic stretched flow of viscoelastic nanofluids with heterogeneous–homogeneous reactions. Attention in modeling has been specially focused to constitutive relations of viscoelastic fluids. The heat and mass transport process is explored by thermophoresis and Brownian dispersion. Resulting nonlinear systems are computed for numerical solutions. Findings for temperature, concentration, concentration rate, skin-friction, local Nusselt and Sherwood numbers are analyzed for both second grade and elastico-viscous fluids.

**Keywords:** viscoelastic fluids; nanoparticles; magnetohydrodynamics; heterogeneous–homogeneous reactions; numerical solution
