Results 51 to 60 of about 12,310,207 (201)
New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators
, 2023 We propose the definitions of some fractional integral operators called k-Atangana–Baleanu fractional integral operators. These newly proposed operators are generalizations of the well-known Atangana–Baleanu fractional integral operators.
Eze R. Nwaeze, Seth Kermausuor
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Mellin transforms of generalized fractional integrals and derivatives [PDF]
Applied Mathematics and Computation, 2015 We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives. We also obtain interesting results, which combine generalized $δ_{r,m}$ operators with generalized Stirling numbers and Lah numbers.
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Journal of Inequalities and Applications, 2020 The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted and the extended Chebyshev ...
Barış Çelik +3 more
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, 2021 Integral equations and inequalities have an important place in time scales and harmonic analysis. The norm of integral operators is one of the important study topics in harmonic analysis.
Akın, Lütfi
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Fractional boundary value problems: Analysis and numerical methods [PDF]
, 2011 This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado +3 more
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Fractional Integral Inequalities via Hadamard’s Fractional Integral [PDF]
, 2014 We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities.
Jessada Tariboon +2 more
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General fractional operators with fixed memory length: definitions and properties
Demonstratio MathematicaThis paper proposes the definitions of general fractional operators with fixed memory length in several function spaces. Firstly, some properties of the general fractional integral with fixed memory length, such as boundedness, continuity, semigroup ...
Wang Rong-Fu, Gu Chuan-Yun, Zeng Ni
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Saigo fractional integral operators with incomplete R-functions kernel
Mathematics OpenFractional calculus has emerged as a robust analytical framework with wide-ranging applications across mathematical analysis, including differential and integral equations, special functions, and series representations.
Priti Purohit, Ravi Gupta, Shyamsunder
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Generalized Hermite-Hadamard type inequalities involving fractional integral operators
Journal of Inequalities and Applications, 2017 In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are
Erhan Set +3 more
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On the generalized fractional integrals of the generalized Mittag-Leffler function [PDF]
SpringerPlus, 2014 In this paper, we employ the generalized fractional calculus operators on the generalized Mittag-Leffler function. Some results associated with generalized Wright function are obtained. Recent results of Chaurasia and Pandey are obtained as special cases.33C45, 47G20, 26A33.
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