Fractional type operators in weighted generalized Hölder spaces.
Samko, S.G., Mussalaeva, Z.U. (1994)
Georgian Mathematical Journal
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Displaying similar documents to “On the exponential integrability of fractional integrals on spaces of homogeneous type”
Fractional type operators in weighted generalized Hölder spaces.
Existence and uniqueness of fractional differential equations with integral boundary conditions.
Wang, Taige, Xie, Feng (2008)
The Journal of Nonlinear Sciences and its Applications
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Positive solutions for boundary value problem of nonlinear fractional differential equation.
Qiu, Tingting, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic.
Babenko, Vladislav F., Churilova, Mariya S. (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω
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.
Inclusion Properties for Certain Classes of Analytic Functions Involving a Family of Fractional Integral Operators
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.
An equation in the left and right fractional derivatives of the same order
B. Stanković (2008)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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On the boundedness of classical operators on weighted Lorentz spaces.
Rakotondratsimba, Y. (1998)
Georgian Mathematical Journal
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Fractional Calculus of the Generalized Wright Function
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...
Linear fractional program under interval and ellipsoidal uncertainty
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...
On weighted inequalities for operators of potential type
Shiying Zhao (1996)
Colloquium Mathematicae
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In this paper, we discuss a class of weighted inequalities for operators of potential type on homogeneous spaces. We give sufficient conditions for the weak and strong type weighted inequalities sup_{λ>0} λ|{x ∈ X : |T(fdσ)(x)|>λ }|_{ω}^{1/q} ≤ C (∫_{X} |f|^{p}dσ)^{1/p} and (∫_{X} |T(fdσ)|^{q}dω )^{1/q} ≤ C (∫_X |f|^{p}dσ )^{1/p} in the cases of 0 < q < p ≤ ∞ and 1 ≤ q < p < ∞, respectively, where T is an operator of potential type, and ω and σ are Borel measures on...