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Fractional Calculus of Variations

SpringerBriefs in Applied Sciences and Technology, 2015
Delfim F M Torres   +2 more
exaly   +2 more sources

Advanced Methods in the Fractional Calculus of Variations

SpringerBriefs in Applied Sciences and Technology, 2015
Delfim F M Torres   +2 more
exaly   +2 more sources

The Fractional Calculus of Variations

2018
In this chapter, we consider general fractional problems of the calculus of variations, where the Lagrangian depends on a combined Caputo fractional derivative of variable fractional order \(^CD_\gamma ^{{\alpha (\cdot ,\cdot )},{\beta (\cdot ,\cdot )}}\) given as a combination of the left and the right Caputo fractional derivatives of orders ...
Ricardo Almeida   +2 more
openaire   +1 more source

Variational calculus with fractional action

Il Nuovo Cimento B, 2004
The principle of the least fractional action δ{D - 1 - i / λ (Ψ(λ))} = 0 is constructed on Ω-space. This comes from the fact that the action is introduced as a form of entropy. Non-local behavior and breakdown of the causality in this space are reviewed. The deduction of Schrodinger's equation from this formalism is presented.
Gaies, A., Ziar, A.
openaire   +1 more source

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