s)-fractional integral operators
21. {q}-analogues of Saigo's fractional calculus operators
... of fractional integral operators and fractional derivatives involving generalizd hypergeometric ...Saigo’s fractional integral operators and establish some results for ...
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A Study of Unified Fractional Integral Operators Involving S-Generalized Gauss's Hypergeometric, Fox's H-Function and Gimel Function
... [7] H.M. Srivastava, M. Aslam Chaudhry and R. P. Agarwal, The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms and Special Functions: 23, 659683 ...
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q Integral inequalities associated with some fractional q integral operators
... type integral inequalities for the syn- chronous functions involving the hypergeometric fractional integral operator ...Saigo’s fractional integral ...
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Limiting case of the boundedness of fractional integral operators on nonhomogeneous space
... p − (1 − α), 1 < q ≤ p < ∞ , 1 < t ≤ s < ∞ , 0 < α < 1. (1.11) Having described the main function spaces, we present our problem. In the present paper, from the viewpoint different from [2], we ...
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Fractional type Marcinkiewicz integral operators associated to surfaces
... the fractional type Marcinkiewicz integral operator by ...the fractional type Marcinkiewicz integral operator associated to surfaces {(x, y) : x = φ ( | y | )y } ∈ R n × ( R n \ { } ) ...
29
Generalized fractional integral operators and the multivariable H function
... Nowadays, fractional calculus is used as a mathematical tool for modeling the processes in engineering, mathematical economics, physics, chemistry, biology and other branches of science (see ...new ...
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Multilinear fractional integral operators on generalized weighted Morrey spaces
... multilinear fractional integral ...Chen, S, Wu, H: Multiple weighted estimates for commutators of multilinear fractional integral ...
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Some inequalities via fractional conformable integral operators
... Thus, by combining (25) and (30), we get the desired result. Theorem 2.5 Let β , μ, α > 0, β, μ ∈ C, r > 1, s > 1, and let Φ, Ψ be two positive functions on [0, ∞ ). If Φ r and Ψ s are two concave ...
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Multilinear fractional integral operators on non homogeneous metric measure spaces
... This innovation caused the tremendous development of harmonic analysis (see [–]). It is worthy to mention that this theory solves the Painlevé’s problem and Vitushkin’s conjec- tures (see [, ]). Hytönen [] ...
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Some new inequalities for generalized fractional conformable integral operators
... the fractional integral operators (FIO) and their applications in multiple disciplines of sciences (see [13, 14, 20, ...interesting integral inequalities for continuous functions on [a, ...
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Generalized fractional integral operators associated with aleph function
... new integral relations involving the product of the Srivastava’s polynomials and the ...Erdélyi-Kober fractional integral operators, which have been depicted in ...
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Multilinear BMO Estimates for the Commutators of Multilinear Fractional Maximal and Integral Operators on the Product Generalized Morrey Spaces
... singular integral operators, originated from the works of Coifman and Meyer’s [4], plays an important role in harmonic ...singular integral operators can be found in the articles by ...
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On weighted inequalities for certain fractional integral operators
... tions of exponential type (see [7]). The present paper is devoted to finding inequalities for the generalized multidimensional modified integral operators (1.3) and (1.4) by making use of the inequality ...
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A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators
... Fredholm integral equations of the second kind involving local fractional derivative operators are investigated by using the method of regularization with Adomian decomposition ...local ...
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Inequality estimates for the boundedness of multilinear singular and fractional integral operators
... multilinear operators associated to the fractional singular integral oper- ators and the weighted Lipschitz ...multilinear operators associated to the Calderón-Zygmund singular integral ...
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The Minkowski inequalities via generalized proportional fractional integral operators
... calculus integral and derivative. Fractional integral has been comprehensively studied in the ...Hadamard integral, Liouville and Katugampola fractional integral (see [18, 22, ...
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Autoconvolution equations and generalized Mittag-Leffler functions
... [14] R. Gorenflo, F. Mainardi, H. M. Srivas- tava, Special functions in fractional re- laxationoscillation and fractional diffusion- wave phenomena, in: D. Bainov(Ed.), Pro- ceedings of the Eighth ...
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Certain inequalities associated with Hadamard k fractional integral operators
... We aim to present some new Pólya-Szegö type inequalities associated with Hadamard k-fractional integral operators, which are also used to derive some Chebyshev type integral inequalities. ...
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A note on fractional integral operators on Herz spaces with variable exponent
... Abstract In this note, we prove that the fractional integral operators from Herz spaces with α to Lipschitz-type spaces are bounded provided p· is locally variable exponent K̇p·,q log-Hö[r] ...
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A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces
... generalized fractional integral operators on generalized Morrey ...generalized fractional integral operators on the predual of the generalized Morrey ...
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