Fractional type operators in weighted generalized Hölder spaces.
Samko, S.G., Mussalaeva, Z.U. (1994)
Georgian Mathematical Journal
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Samko, S.G., Mussalaeva, Z.U. (1994)
Georgian Mathematical Journal
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Wang, Taige, Xie, Feng (2008)
The Journal of Nonlinear Sciences and its Applications
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Qiu, Tingting, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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Babenko, Vladislav F., Churilova, Mariya S. (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Karapetyants, Nikolai, Samko, Natasha (2004)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A16, 26A33, 46E15. There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder spaces Hω0(ρ) of functions with a given dominant ω of their continuity modulus.
Kishore Prajapat, Jugal (2008)
Fractional Calculus and Applied Analysis
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2000 Math. Subject Classification: 30C45 A known family of fractional integral operators is used here to define some new subclasses of analytic functions in the open unit disk U. For each of these new function classes, several inclusion relationships are established.
B. Stanković (2008)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Rakotondratsimba, Y. (1998)
Georgian Mathematical Journal
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Kilbas, Anatoly (2005)
Fractional Calculus and Applied Analysis
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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...
Maziar Salahi, Saeed Fallahi (2013)
Kybernetika
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In this paper, the robust counterpart of the linear fractional programming problem under linear inequality constraints with the interval and ellipsoidal uncertainty sets is studied. It is shown that the robust counterpart under interval uncertainty is equivalent to a larger linear fractional program, however under ellipsoidal uncertainty it is equivalent to a linear fractional program with both linear and second order cone constraints. In addition, for each case we have studied the dual...