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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Displaying similar documents to “On Minkowski and Hermite-Hadamard integral inequalities via fractional integration.”
Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic.
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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Fractional type operators in weighted generalized Hölder spaces.
Samko, S.G., Mussalaeva, Z.U. (1994)
Georgian Mathematical Journal
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Some quadratic integral inequalities of Opial type
Małgorzata Kuchta (1996)
Annales Polonici Mathematici
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We derive and investigate integral inequalities of Opial type: , where h ∈ H, I = (α,β) is any interval on the real line, H is a class of absolutely continuous functions h satisfying h(α) = 0 or h(β) = 0. Our method is a generalization of the method of [3]-[5]. Given the function r we determine the class of functions s for which quadratic integral inequalities of Opial type hold. Such classes have hitherto been described as the classes of solutions of a certain differential equation....
On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function
Kalla, S., Yadav, R., Purohit, S. (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 33D60, 26A33, 33C60 The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q),Kv(x; q), Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result.
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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Existence of positive solutions for singular fractional differential equations.
Qiu, Tingting, Bai, Zhanbing (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ostrowski's type inequalities for continuous functions of selfadjoint operators on Hilbert spaces: a survey of recent results.
Dragomir, S.S. (2011)
Annals of Functional Analysis (AFA) [electronic only]
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Weak solutions to differential equations with left and right fractional derivatives defined on
T. M. Atanacković, S. Pilipović, B. Stanković (2009)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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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...