Fractional variational calculus for nondifferentiable functions

We prove necessary optimality conditions, in the class of continuous functions, for variational problems defined with Jumarie’s modified Riemann–Liouville derivative. The fractional basic problem of the calculus of variations with free boundary conditions is considered, as well as problems with isop...

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Published in:Computers & mathematics with applications (1987) 2011-05, Vol.61 (10), p.3097-3104
Main Authors: Almeida, Ricardo, Torres, Delfim F.M.
Format: Article
Language:English
Subjects:
Calculus of variations
Derivatives
Fractional calculus
Free boundaries
Holonomic constraints
Isoperimetric problems
Jumarie’s modified Riemann–Liouville derivative
Mathematical analysis
Mathematical models
Natural boundary conditions
Optimization
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description We prove necessary optimality conditions, in the class of continuous functions, for variational problems defined with Jumarie’s modified Riemann–Liouville derivative. The fractional basic problem of the calculus of variations with free boundary conditions is considered, as well as problems with isoperimetric and holonomic constraints.
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subjects Calculus of variations
Derivatives
Fractional calculus
Free boundaries
Holonomic constraints
Isoperimetric problems
Jumarie’s modified Riemann–Liouville derivative
Mathematical analysis
Mathematical models
Natural boundary conditions
Optimization
title Fractional variational calculus for nondifferentiable functions
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