I'm an undergrad, and I was looking for books to study fractional calculus. I want books that has proofs, but not very rigorous ones -pure math level-. Your recommendations is highly appreciated.
2026-03-25 20:12:56.1774469576
Fractional calculus books
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Despite its vast size of more than 1000 pages, I would definitely recommend the book of Samko, Kilbas and Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science Publishers, 1993. In my opinion, this is a very good starting point and the presentation is accessible at undergrad level (it requires a solid background of real analysis). Although several books have been published in the last decade on the topic, I still find this to be the best reference.
Another good reference -- especially if you are interested in analytical solutions of fractional-order systems -- is the book of Kaczorek, Selected Problems of Fractional Systems Theory, Springer, 2011.