## THERMAL SCIENCE

International Scientific Journal

### FRACTIONAL MODEL OF SECOND GRADE FLUID INDUCED BY GENERALIZED THERMAL AND MOLECULAR FLUXES WITH CONSTANT PROPORTIONAL CAPUTO

**ABSTRACT**

In this research article, the constant proportional Caputo approach of fractional derivative is applied to derive the generalized thermal and molecular profiles for flow of second grade fluid over a vertical plate. The governing equations of the prescribed flow model are reduced to dimensionless form and then solved for temperature, concentration, and velocity via Laplace transform. Further graphs of field variables are sketched for parameter of interest. Comparison between present result and the existing results is also presented graphically.

**KEYWORDS**

PAPER SUBMITTED: 2021-03-06

PAPER REVISED: 2021-03-25

PAPER ACCEPTED: 2020-04-05

PUBLISHED ONLINE: 2021-12-18

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