Variational Problems Involving a Caputo-Type Fractional Derivative

Ricardo Almeida ()
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Ricardo Almeida: University of Aveiro

Journal of Optimization Theory and Applications, 2017, vol. 174, issue 1, No 18, 276-294

Abstract: Abstract The aim of this paper is to study certain problems of calculus of variations that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo–Hadamard fractional derivatives that are dependent on a real parameter $$\rho $$ ρ . Sufficient and necessary conditions of the first and second order are presented. The cases of integral and holonomic constraints are also considered.

Keywords: Fractional calculus; Caputo-type fractional derivative; Variational problems; 26A33; 34A08; 34K28 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-016-0883-4

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