For example, how can it differ from ordinary derivative or calculus. Actually, what kind of results or outcomes can be obtained by using fractional derivatives.
see the following paper
A Study of Fractional Relaxation Time Derivative on Blood Flow in Arteries with Magnetic and Thermal Radiation Effects
Abstract:
In this paper, a fractional relaxation model is studied to determine the effect of heat transfer and magnetic field on the blood flow. The flow is due to an oscillating periodic pressure gradient and body acceleration. We apply Laplace transform as well as finite Hankel transform to obtain the closed-form solutions of the velocity and temperature distributions of the fractional time partial differential equations. The effect of the fluid flow parameters is shown graphically with changes in the ordinary model as well as the fractional parameters. The analysis shows that a fractional derivative is an excellent tool that gives a remarkable change in controlling temperature and blood flow. The analysis depicts graphically, that the presence of a strong applied (exterior) magnetic field, reduces the temperature and blood flow velocities, which is appropriate to avoid tissue damage during treatment. Besides, it is seen that some of the aforementioned parameters influenced the fluid flow profiles in an increasing and decreasing fashion which is interpreted as useful to the study.
Article A Study of Fractional Relaxation Time Derivative on Blood Fl...
Dear Professor Ramakrishna Manchi, I think you can have a look on Lasota‐Wazewska model, using fractional order derivative. Best regards, James
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