Results 231 to 240 of about 13,688 (264)

GENERALIZED HERMITE–HADAMARD INCLUSIONS FOR A GENERALIZED FRACTIONAL INTEGRAL

Rocky Mountain Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Budak, Hueseyin   +2 more
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On generalization fractional integrals

Lobachevskii Journal of Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarikaya, Mehmet Zeki   +1 more
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A generalization of the concept of q-fractional integrals

Acta Mathematica Sinica, English Series, 2009
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Rajković, Predrag M.   +2 more
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A Theory of Fractional Integration for Generalized Functions

SIAM Journal on Mathematical Analysis, 1975
In this paper, we develop a theory of fractional integration for certain classes of generalized functions and give one simple application.First, we introduce the appropriate spaces of testing-functions and generalized functions and state some of their basic properties.
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Hypergeometric Integral Equations of a General Kind and Fractional Integration

SIAM Journal on Mathematical Analysis, 1972
Some integral equations with the kernels containing a confluent hypergeometric function in two variables are studied by the use of fractional integration. These equations include as special cases the hypergeometric integral equations as well as the confluent hypergeometric integral equations discussed by earlier authors.
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A class of fractional integral transforms: a generalization of the fractional Fourier transform

IEEE Transactions on Signal Processing, 2002
The paper presents a systematic and unified approach to fractional integral transforms. We introduce a new class of fractional integral transforms that includes the fractional Fourier and Hankel transforms and the fractional integration and differentiation operators as special cases. These fractional transforms may also be viewed as angular transforms,
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Generalized fractional integrals on generalized Morrey spaces

Mathematische Nachrichten, 2013
On generalized Morrey spaces with variable exponent and variable growth function the boundedness of generalized fractional integral operators is established, where . The result is a generalization of the theorems of Adams [1] (1975) and Gunawan [11] (2003). Moreover, we prove weak type boundedness.
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