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Relevant bibliographies by topics / Association of fractional operators

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Journal articles

Academic literature on the topic 'Association of fractional operators'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 February 2022

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Journal articles on the topic "Association of fractional operators"

1

Ahmad, Shabir, Aman Ullah, Ali Akgül, and Manuel De la Sen. "Study of HIV Disease and Its Association with Immune Cells under Nonsingular and Nonlocal Fractal-Fractional Operator." Complexity 2021 (August 19, 2021): 1–12. http://dx.doi.org/10.1155/2021/1904067.

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HIV, like many other infections, is a severe and lethal infection. Fractal-fractional operators are frequently used in modeling numerous physical processes in the current decade. These operators provide better dynamics of a mathematical model because these are the generalization of integer and fractional-order operators. This paper aims to study the dynamics of the HIV model during primary infection by fractal-fractional Atangana–Baleanu (AB) operators. The sufficient conditions for the existence and uniqueness of the solution of the proposed model under the AB operator are derived via fixed p

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2

Petrosyan, Garik G. "On adjoint operators for fractional differentiation operators." Russian Universities Reports. Mathematics, no. 131 (2020): 284–89. http://dx.doi.org/10.20310/2686-9667-2020-25-131-284-289.

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On a linear manifold of the space of square summable functions on a finite segment vanishing at its ends, we consider the operator of left-sided Caputo fractional differentiation. We prove that the adjoint for it is the operator of right-sided Caputo fractional differentiation. Similar results are established for the Riemann–Liouville fractional differentiation operators. We also demonstrate that the operator, which is represented as the sum of the left-sided and the right-sided fractional differentiation operators is self adjoint. The known properties of the Caputo and Riemann–Liouville fract

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3

Case, Jeffrey S., and Sun-Yung Alice Chang. "On Fractional GJMS Operators." Communications on Pure and Applied Mathematics 69, no. 6 (2015): 1017–61. http://dx.doi.org/10.1002/cpa.21564.

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4

MARTINEZ, Celso, Miguel SANZ, and Luis MARCO. "Fractional powers of operators." Journal of the Mathematical Society of Japan 40, no. 2 (1988): 331–47. http://dx.doi.org/10.2969/jmsj/04020331.

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5

Fan, Da Shan, and Fa You Zhao. "Multilinear fractional Hausdorff operators." Acta Mathematica Sinica, English Series 30, no. 8 (2014): 1407–21. http://dx.doi.org/10.1007/s10114-014-3552-2.

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6

Khan, Tahir Ullah, and Muhammad Adil Khan. "Generalized conformable fractional operators." Journal of Computational and Applied Mathematics 346 (January 2019): 378–89. http://dx.doi.org/10.1016/j.cam.2018.07.018.

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7

Schiavone, S. E. "Fractional powers of operators and Riesz fractional integrals." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 112, no. 3-4 (1989): 237–47. http://dx.doi.org/10.1017/s0308210500018709.

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SynopsisIn this paper, a theory of fractional powers of operators due to Balakrishnan, which is valid for certain operators on Banach spaces, is extended to Fréchet spaces. The resultingtheory is shown to be more general than that developed in an earlier approach by Lamb, and is applied to obtain mapping properties of certain Riesz fractional integral operators on spaces of test functions.

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8

Atici, Ferhan, and Meltem Uyanik. "Analysis of discrete fractional operators." Applicable Analysis and Discrete Mathematics 9, no. 1 (2015): 139–49. http://dx.doi.org/10.2298/aadm150218007a.

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In this paper, we introduce two new monotonicity concepts for a nonnegative or nonpositive valued function defined on a discrete domain. We give examples to illustrate connections between these new monotonicity concepts and the traditional ones. We then prove some monotonicity criteria based on the sign of the fractional difference operator of a function f, ??f with 0 < ? < 1. As an application, we state and prove the mean value theorem on discrete fractional calculus.

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9

Ansari, Alireza, Mohammadreza Ahmadi Darani, and Mohammad Moradi. "On Fractional Mittag–Leffler Operators." Reports on Mathematical Physics 70, no. 1 (2012): 119–31. http://dx.doi.org/10.1016/s0034-4877(13)60017-8.

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10

Grumiau, C., M. Squassina, and C. Troestler. "Asymptotic symmetries for fractional operators." Nonlinear Analysis: Real World Applications 26 (December 2015): 351–71. http://dx.doi.org/10.1016/j.nonrwa.2015.06.001.

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