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- W2007373407 abstract "Problem statement: This study is a contribution to the general program of describing complex dynamical systems using the tool of fractional calculus of variations. Approach: Following our previous work, fractional quantum field theory based on the fractional actionlike variational approach supported by Saxena-Kumbhat fractional integrals functionals, fractional derivative of order (α, β) and dynamical fractional exponent on multi-fractal sets is considered. Results: In order to build the required theory, we introduce the Saxena-Kumbhat hypergeometric fractional functionals determined on the functions on a multifractal sets. We prove, developing the corresponding fractional calculus of variations, that a hierarchy of differential equations can be developed from the extended fractional Lagrangian formalism. Besides, a generalization of the resulting Hamiltonian and Lagrangian dynamics on the complex plane is addressed. Conclusion: The new complexified dynamics guides to a new dynamics which may differ totally from the classical mechanics cardinally and may bring new appealing consequences. Some additional interesting results are explored and discussed in some details." @default.
- W2007373407 created "2016-06-24" @default.
- W2007373407 creator A5088601389 @default.
- W2007373407 date "2011-01-01" @default.
- W2007373407 modified "2023-09-26" @default.
- W2007373407 title "Fractional Quantum Field Theory on Multifractals Sets" @default.
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- W2007373407 doi "https://doi.org/10.3844/ajeassp.2011.133.141" @default.
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