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Non-instantaneous Impulses in Differential Equations with Caputo Fractional Derivatives

In: Non-Instantaneous Impulses in Differential Equations

Author

Listed:
  • Ravi Agarwal

    (Texas A&M University—Kingsville, Department of Mathematics)

  • Snezhana Hristova

    (Plovdiv University, Department of Applied Mathematics)

  • Donal O’Regan

    (National University of Ireland, School of Mathematics, Statistics and Applied Mathematics)

Abstract

Fractional calculus is the theory of integrals and derivatives of arbitrary non-integer order, which unifies and generalizes the concepts of ordinary differentiation and integration. For more details on geometric and physical interpretations of fractional derivatives and for a general historical perspective we refer the reader to the monographs [42, 45, 101] and the cited references therein.

Suggested Citation

  • Ravi Agarwal & Snezhana Hristova & Donal O’Regan, 2017. "Non-instantaneous Impulses in Differential Equations with Caputo Fractional Derivatives," Springer Books, in: Non-Instantaneous Impulses in Differential Equations, chapter 0, pages 73-192, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-66384-5_2
    DOI: 10.1007/978-3-319-66384-5_2
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