Fractional Generalization of Gradient Systems
نویسنده
چکیده
We consider a fractional generalization of gradient systems. We use differential forms and exterior derivatives of fractional orders. Examples of fractional gradient systems are considered. We describe the stationary states of these systems. Mathematics Subject Classification (2000). 426A33, 70G60.
منابع مشابه
Fractional generalization of gradient and Hamiltonian systems
We consider a fractional generalization of Hamiltonian and gradient systems. We use differential forms and exterior derivatives of fractional orders. We derive fractional generalization of Helmholtz conditions for phase space. Examples of fractional gradient and Hamiltonian systems are considered. The stationary states for these systems are derived. PACS numbers: 45.20.−d, 05.45.−a
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