**5. Conclusions**

In the current study we have discussed the time-dependent flow of a nanoliquid involving a special third-grade fluid induced through a heated shrinking surface through non-linear radiation. The transmuted ODE's were numerically calculated via a bvp4c solver for distinct values of the substantial constraints that appeared in the problem. This investigation reveals the following significant finding:


**Author Contributions:** A.Z. and U.K.; Writing—original draft, I.K.; Conceptualization, E.-S.M.S.; Methodology, I.K.; Software, K.S.N.; Validation, A.H.S.; Formal analysis, A.Z.; Writing—review and editing, Investigation, U.K. and I.K.; Resources, A.H.S.; Data curation, E.-S.M.S.; Visualization and supervision, E.-S.M.S.; Project administration and funding. All authors have read and agree to the published version of the manuscript.

**Funding:** The authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for the funding of this research. Research group project number RGP-160.

**Conflicts of Interest:** The authors declare no conflict of interest concerning this manuscript.
