Some bounding inequalities for the Jacobi and related functions.
Srivastava, H.M. (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Displaying similar documents to “Fractional integration and fractional differentiation for Jacobi expansions.”
Some bounding inequalities for the Jacobi and related functions.
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Fractional Calculus of the Generalized Wright Function
Kilbas, Anatoly (2005)
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Mathematics Subject Classification: 26A33, 33C20. The paper is devoted to the study of the fractional calculus of the generalized Wright function pΨq(z) defined for z ∈ C, complex ai, bj ∈ C and real αi, βj ∈ R (i = 1, 2, · · · p; j = 1, 2, · · · , q) by the series pΨq (z) It is proved that the Riemann-Liouville fractional integrals and derivative of the Wright function are also the Wright functions but of greater order. Special cases are considered. * The present...
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An expansion formula for fractional derivatives given as in form of a series involving function and moments of its k-th derivative is derived. The convergence of the series is proved and an estimate of the reminder is given. The form of the fractional derivative given here is especially suitable in deriving restrictions, in a form of internal variable theory, following from the second law of thermodynamics, when applied to linear viscoelasticity of fractional derivative type. ...
On Multidimensional Analogue of Marchaud Formula for Fractional Riesz-Type Derivatives in Domains in R^n
Rafeiro, Humberto, Samko, Stefan (2005)
Fractional Calculus and Applied Analysis
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The Maxwell-Bloch equations on fractional Leibniz algebroids.
Ivan, Mihai, Ivan, Gheorge, Opriş, Dumitru (2008)
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On the Operational Solution of a System of Fractional Differential Equations
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Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 44A45, 44A40, 65J10 We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages...