Fractional Calculus| Fractional Derivative|L1 method for Caputo| MATLAB code |Lecture 12

This lecture belongs to the field of Fractional Calculus. In this video, I have derived an important algorithm used in the field of fractional calculus known as the L1 method to approximate the Caputo derivative of a function. The viewers will come to know:
1. What is Caputo derivative?
2. The derivation of the L1 method to approximate the Caputo derivative.
3. MATLAB code of the L1 method to find Caputo derivative of a trigonometric function.
4. To analyze the absolute errors for the L1 method.
5. To carry out a comparative analysis with respect to the absolute errors.
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[alrawdasuliman]

Thanks for such nice explanations, can you pls also explain how to apply using FOMCON matlab toolbox

[RameshK-zpzc]

Hello, Dear Madam
It's a great lecture and inspiring many scholars to work in fractional order.
Thanks a lot madam.

[lalchandverma]

Nice lecture, Please mam one lecture upload the system of fractional differential equation solve by adams-bashforth method using matlab

[AnilKumar-kiqn]

thank you very much, mam, it helps me a lot, please make a video on how we can implement it on fractional differential equations to make a plot.

[tapansarkar]

Mam, can you please explain standard
Grunwald-Letnikov scheme in FDEs

[learnmathematics]

Thanks a lot mam.can you please give me a matlab code for plotting Lyapunove exponents?

[rashid]

Prof Sania, I have one question.

If I want to compute derivative at x=0. it cannot evaluate since it at the point of singularity. Is it possible to take value close to 0 such as 10^-3, to approximate the derivative at x=0 using the formula?

[salmashatta]

Hello, Professor
It's a great video.❤️
Please can you make a video on the righy side of the Caputo definition?

[cordyjourvelitoua-tsele]

Hello Dear Professor Sania, could you make the same video using L2 and L2C methods for Caputo derivatives, please?