Results 11 to 20 of about 16,663 (301)
Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
Fractal and Fractional, 2021 In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Hari Mohan Srivastava +3 more
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Fractal and Fractional, 2021 Considering the large number of fractional operators that exist, and since it does not seem that their number will stop increasing soon at the time of writing this paper, it is presented for the first time, as far as the authors know, a simple and ...
A. Torres-Hernandez, F. Brambila-Paz
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Spectral properties of fractional differentiation operators
Electronic Journal of Differential Equations, 2018 We consider the fractional differentiation operators in a variety of senses. We show that the strong accretive property is the common property of fractional differentiation operators.
Maksim V. Kukushkin
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Novel improved fractional operators and their scientific applications
Advances in Difference Equations, 2021 The motivation of this research is to introduce some new fractional operators called “the improved fractional (IF) operators”. The originality of these fractional operators comes from the fact that they repeat the method on general forms of conformable ...
Abd-Allah Hyder, M. A. Barakat
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General Fractional Vector Calculus
Mathematics, 2021 A generalization of fractional vector calculus (FVC) as a self-consistent mathematical theory is proposed to take into account a general form of non-locality in kernels of fractional vector differential and integral operators.
Vasily E. Tarasov
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Scale-Invariant General Fractional Calculus: Mellin Convolution Operators
Fractal and Fractional, 2023 General fractional calculus (GFC) of operators that is defined through the Mellin convolution instead of Laplace convolution is proposed. This calculus of Mellin convolution operators can be considered as an analogue of the Luchko GFC for the Laplace ...
Vasily E. Tarasov
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Boundary Problems for the Fractional and Tempered Fractional Operators [PDF]
Multiscale Modeling & Simulation, 2018 24 pages, 4 ...
Weihua Deng +3 more
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Weighted fractional Hardy operators and their commutators on generalized Morrey spaces over quasi-metric measure spaces [PDF]
, 2021 We study commutators of weighted fractional Hardy-type operators within the frameworks of local generalized Morrey spaces over quasi-metric measure spaces for a certain class of “radial” weights.
Samko, Natasha Gabatsuyevna
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Properties of the Katugampola Fractional Operators [PDF]
Tatra Mountains Mathematical Publications, 2021 Abstract In this work, there are considered higher order fractional operators defined in the sense of Katugampola. There are proved some fundamental properties of the Katugampola fractional operators of any arbitrary real order.
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Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions
Journal of Function Spaces, 2021 Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016).
Ahmet Ocak Akdemir +3 more
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