Calculus of variations with fractional derivatives and fractional integrals

Details Calculus of variations with fractional derivatives and fractional integrals Calculus of variations with fractional derivatives and fractional integrals

2009-07-06

arxiv.org/abs/0907.1024v1

Applied Mathematics Letters 22 (2009) 1816--1820

Mathematics

Optimization and Control

Accepted (July 6, 2009) for publication in Applied Mathematics Letters

Scientific paper

10.1016/j.aml.2009.07.002

We prove Euler-Lagrange fractional equations and sufficient optimality
conditions for problems of the calculus of variations with functionals
containing both fractional derivatives and fractional integrals in the sense of
Riemann-Liouville.

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