Grüss-type inequalities involving functional bounds via analytic kernel fractional integral. [PDF]
Neamah MK +3 more
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Unsteady two dimensional flow of non-newtönian fractional Casson fluid for an edge with heated boundaries. [PDF]
Nadeem S +4 more
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Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]
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GENERALIZED HERMITE–HADAMARD INCLUSIONS FOR A GENERALIZED FRACTIONAL INTEGRAL
Rocky Mountain Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On generalization fractional integrals
Lobachevskii Journal of Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A generalization of the concept of q-fractional integrals
Acta Mathematica Sinica, English Series, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Theory of Fractional Integration for Generalized Functions
SIAM Journal on Mathematical Analysis, 1975In 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, 1972Some 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, 2002The 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, 2013On 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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