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Fractional Integrals and Derivatives

Author

Listed:
  • 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)

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.

Suggested Citation

  • Chongyang Liu & Song Wang & Zhaohua Gong, 2026. "Fractional Integrals and Derivatives," Springer Optimization and Its Applications,, Springer.
    • Handle: RePEc:spr:spochp:978-981-92-0274-4_2
    DOI: 10.1007/978-981-92-0274-4_2
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