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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.
Budak, Hueseyin +2 more
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On generalization fractional integrals
Lobachevskii Journal of Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarikaya, Mehmet Zeki +1 more
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Caputo generalized ψ-fractional integral inequalities
Journal of Applied Analysis, 2020Abstract Very general univariate and multivariate Caputo ψ-fractional integral inequalities of Poincaré, Sobolev and Hilbert–Pachpatte types are presented. Estimates are with respect to ∥
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Some Generalized Hadamard–Type Inequalities via Fractional Integrals
Russian Mathematics, 2021In this paper, the authors derived and proved some generalized inequalities of Hermite-Hadamard type using fractional Riemann-Liouville integrals for the class of s-convex functions.
BAYRAKTAR, BAHTİYAR +2 more
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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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Variable Order General Fractional Integral Inequalities
2021Here are introduced abstract left and right Riemann-Liouville generalized fractional Bochner integral operators of variable order acting over Banach space valued functions. Also are introduced abstract weighted Caputo type left and right fractional derivatives of variable order.
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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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Fractional derivatives: integral representations and generalized polynomials
2004Summary: We show that the use of functions associated with generalized forms of Hermite polynomials provide a natural tool for the solution of partial differential equations involving fractional derivatives. Within such a context we clarify the meaning of exponential operators with fractional derivatives and discuss alternative definitions based on ...
DATTOLI G +3 more
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New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators
Mathematics, 2021Ahmet Ocak Akdemİr +2 more
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