**5. Conclusions**

The flow of incompressible Burgers' fluid with leading equations in the terms of Caputo non-integer order derivatives is studied. The under consider flow is flowing through the circular channel of infinite length. The numerical solutions for velocity and stress has been drawn by utilizing the Laplace transformation along with the modified Bessel's function. After the analysis of result following fruitful remarks are observed:


**Author Contributions:** R.S. and M.I. made the mathematical model and mathematical calculation of the paper. M.A.I. and M.I. made the numerical results and graphs of the paper. I.K. wrote the manuscript. M.I. and R.S. checked the calculation and revised the manuscript. All authors read and approved the final manuscript.

**Funding:** This research is supported by the Government College University, Faisalabad, Pakistan, and the Higher Education Commission, Pakistan.

**Conflicts of Interest:** The authors declare that they have no competing interests.
