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Theorem for Series in Three-Parameter Mittag-Leffler Function

Soubhia, Ana;  Camargo, Rubens;  Oliveira, Edmundo;  Vaz, Jayme — 2010

Fractional Calculus and Applied Analysis

Mathematics Subject Classification 2010: 26A33, 33E12. The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional differential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Leffler function.

The Clifford bundle and the dynamics of the superparticle

Waldyr Rodrigues;  Jayme Vaz;  Matej Pavsic — 1996

Banach Center Publications

Using the Clifford bundle formalism we show that Frenet equations of classical differential geometry or its spinor version are the appropriate equations of motion for a classical spinning particle. We show that particular values of the curvatures appearing in Darboux bivector of the spinor form of Frenet equations produce a "classical" Dirac-Hestenes equation. Using the concept of multivector Lagrangians and Hamiltonians we provide a Lagrangian and Hamiltonian approach for our theory which then...

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