First Solution of Fractional Bioconvection with Power Law Kernel for a Vertical Surface

The present study provides the heat transfer analysis of a viscous fluid in presence bioconvection with Caputo fractional derivative. unsteady governing equations are solved by Laplace after using dimensional approach subject to given constraints on boundary. impact physical parameters can be seen through graphical illustration. It is observed that maximum decline and velocity attained for smaller values parameter. very helpful controlling boundary layers properties different time. Additionally, it model obtained generalized constitutive laws predicts better memory than artificial replacement. Further, these results compared existing literature verify validity results.