Fractional calculus of variations with a generalized fractional derivative
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Summary: In this paper, we introduce a generalization of the Hilfer-Prabhakar derivative and obtain the Euler-Lagrange equations and Hamiltonian formulation with respect to this fractional derivative in the theory of fractional calculus of variations. Also, we get a sufficient condition for optimality.
fractional calculus of variations, convex optimization, Fractional derivatives and integrals, fractional Hamiltonian equations, Optimality conditions for problems involving relations other than differential equations, Hilfer-Prabhakar derivative
fractional calculus of variations, convex optimization, Fractional derivatives and integrals, fractional Hamiltonian equations, Optimality conditions for problems involving relations other than differential equations, Hilfer-Prabhakar derivative
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