Fractional-order Derivative

In recent years, fractional calculus has attracted many mathematicians and researchers in different fields: Maths, Physics, Astronomy, and Engineering.

This is an introductory and motivational video for fractional calculus. In this 7 min lecture, I showed how to find the fractional-order derivative of a simple power function. For instance, half-order derivative of f(x) = x.

Book References:
1) The Variable Order Fractional Calculus of Variation. Springer 2019 by Almeida, R. and Tavares, D. and Torres, D.F.M.

2) Fractional Differential Equations, Academic Press 1999 by Podlubny, I.

3) Introduction to Fractional Differential Equations, Springer 2019. By by Constantin, M. and Gheorghe, D. and J. Tenreiro, M.},

4) An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley 1993. By Miller, K.S. and Ross, B.

5) Measure Theory and Fine Properties of Functions. CRC Press 2015. By Evans, L. C. and Gariepy, R. F.},

6) Functional Fractional Calculus. Springer 2011. By Das, S.

7) The Analysis of Fractional Differential Equations. World Scientific 2014. Herrmann, R.

[kgnaneshwar]

It is good video to understand about fractional order derivative

[EasyMathWithIbrahim]

Very good presentation. Go ahead. Best wishes.

[nikhils]

V Good Explanation..Pls upload more videos on Fractional Calculus.

[shawonshimu]

very easy to understand the fractional-order derivative :)

[colorizedenhanced-silentmo]

Good evening, Mujib Chowdhury. this is extremely okay video. thanks. :)

[anjani]

sir your explanation is very if fractional order de has power 1 it's equal to normal ode or not?

[sandorszabo]

This result is incorrect, misleading. "In recent years" is about 100 years or so. I very recommend to search the literature. Unfortunately also there are a lot of misconception. Only the very beginning of the video is correct, where it is mentioned RL, Caputo, GL.