Fractional variational principle of Herglotz for a new class of problems with dependence on the boundaries and a real parameter
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DOI: 10.1063/5.0021373
Abstract: The fractional variational problem of Herglotz type for the case where the Lagrangian depends on generalized fractional derivatives, the free endpoints conditions, and a real parameter is studied. This type of problem generalizes several problems… read more here.
Keywords: real parameter; dependence; variational principle; principle herglotz ... See more keywords
Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives
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DOI: 10.1186/s13662-017-1388-7
Abstract: In this paper, we study the necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrange function depending on a Caputo-Fabrizio fractional derivative. The new kernel of Caputo-Fabrizio fractional… read more here.
Keywords: optimality conditions; caputo fabrizio; conditions fractional; fractional variational ... See more keywords
Boubaker Hybrid Functions and their Application to Solve Fractional Optimal Control and Fractional Variational Problems
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DOI: 10.21136/am.2018.0083-18
Abstract: A new hybrid of block-pulse functions and Boubaker polynomials is constructed to solve the inequality constrained fractional optimal control problems (FOCPs) with quadratic performance index and fractional variational problems (FVPs). First, the general formulation of… read more here.
Keywords: fractional optimal; boubaker hybrid; fractional variational; optimal control ... See more keywords