Abstract
The studies of ordinary derivatives based nanofluids have limitations and some restrictions to solve and analyze the integer ordered leading partial differential equations and also have some memory effect complications. Fractional order in nanofluids can enhance and analyze more efficiently the memory effects on nanofluid behavior by different fractional derivatives techniques. In this study, the analytical solution of nanofluids containing water as a base fluid with copper oxide and silver as nanoparticles with heat and mass characteristics is investigated. The water-based nanofluid is flowing on an infinite sheet with constant temperature and thermal radiation. The dimensionless partial differential governing equations are solved in the sense of the most recent definition of fractional derivatives that is the Atangana-Baleanu fractional derivative. To dig out the mathematical solution of the developed fractional model of temperature and velocity field, the Laplace transformation technique and some of its inverse method i.e. Zakians method are utilized. To enhance the innovation of this article, the graphical and numerical representation of temperature and velocity fields are described and discussed by varying the values of different constraints such as fractional parameter and volume fraction. As a result, we concluded from the graphical illustration of the parameters, in comparison to copper oxide and silver nanofluid, CUo-water nanofluids has always slightly greater heat transfer rate as compared to Ag-water fractional nanofluid, which also depends on the enhancement of volume fraction. Furthermore, temperature and velocity profile shows decaying behavior with the enhancement in the fractional parameter beta.