Fractional Integrals and Derivatives

Chongyang Liu (), Song Wang () and Zhaohua Gong
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Chongyang Liu: Shandong Technology and Business University, School of Mathematics and Information Science
Song Wang: Curtin University, School of Electrical Engineering, Computing, and Mathematical Sciences
Zhaohua Gong: Shandong Technology and Business University, School of Mathematics and Information Science

Chapter 2 in Nonlinear Fractional Optimal Control, 2026, pp 9-22 from Springer

Abstract: Abstract In this chapter, we review some basic results of several representative fractional integrals and derivatives, i.e., Riemann-Lowville fractional integral and derivative, Caputo fractional derivative, Atangana-Baleanu fractional integral and derivative, and conformable fractional integral and derivative. We also provide some examples to illustrate these fractional integrals and derivatives.

Date: 2026
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DOI: 10.1007/978-981-92-0274-4_2

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