Fractional differential operators and generalized oscillatory dynamics

Rami Ahmad El-Nabulsi

Abstract


Abstract: In this paper, a new generalized fractional derivative is introduced holding many important properties. By implementing this new definition inside the Lagrangian , where is an -dimensional manifold and its tangent bundle, the new definition was used to discuss many interesting and general properties of the Lagrangian and Hamiltonian formalisms starting from a fractional actionlike variational approach. Applications of the new formalism for solving some dynamical oscillatory models of fractional order are given. Additional attractive features are explored in some details.


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|ISSN 1686-0209|