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The fractional Casson uid model has been considered in this paper in the context of the Goodman boundary conditions. A new approach for getting the solutions of the Casson uid models have been proposed. There is the Double integral method and the Heat balance integral method. These two methods constitute the integral balance method. In these methods, the exponent of the approximate solutions is an open main problem, but this issue is intuitively solved by using the so-called matching method. The graphical representations of the solutions of the fractional Casson uid model support the main results that have been presented. In our investigations, the Caputo derivative has been used.

A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator