Non-instantaneous Impulses in Differential Equations with Caputo Fractional Derivatives

Ravi Agarwal, Snezhana Hristova and Donal O’Regan
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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

Chapter Chapter 2 in Non-Instantaneous Impulses in Differential Equations, 2017, pp 73-192 from Springer

Abstract: 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.

Date: 2017
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DOI: 10.1007/978-3-319-66384-5_2

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