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Hamiltonian Formulation of Classical Fields with Fractional Derivatives
Fractional derivatives Lagrangian and Hamiltonian formulation
2011/8/3
Abstract: An investigation of classical fields with fractional derivatives is presented using the fractional Hamiltonian formulation. The fractional Hamilton's equations are obtained for two classical...
Fractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform
fractional derivatives and integrals time scales Laplace transform
2011/1/19
We introduce a fractional calculus on time scales using the theory of delta (or nabla)dynamic equations. The basic notions of fractional order integral and fractional order derivative on an arbitrary ...
Cosmological Models with Fractional Derivatives and Fractional Action Functional
Fractional Derivative and Integral Cosmology
2010/12/20
Cosmological models of a scalar field with dynamical equations containing fractional derivatives or derived from the Einstein-Hilbert action of fractional order, are constructed. A number of exact sol...
Integral Means Inequalities for Fractional Derivatives of Some General Subclasses of Analytic Functions
Integral means inequalities Fractional derivatives Analytic functions Univalent functions Extreme points Subordination
2008/6/30
Integral Means Inequalities for Fractional Derivatives of Some General Subclasses of Analytic Functions.
Some Distortion Inequalities Associated with the Fractional Derivatives of Analytic and Univalent Functions
Distortion inequalities analytic functions fractional derivatives univalent functions convex functions hypergeometric function
2008/6/27
Some Distortion Inequalities Associated with the Fractional Derivatives of Analytic and Univalent Functions.