Application of variable- and distributed-order fractional operators to the dynamic analysis of nonlinear oscillators
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05488-8
Abstract: Many physical processes in nature exhibit complex dynamics that result from a combination of multiscale, nonlinear, non-local, and memory effects. Recent experimental measurements conducted in a variety of physical domains have shown that, at the… read more here.
Keywords: distributed order; order; fractional operators; application variable ... See more keywords
A study on transmission dynamics of HIV/AIDS model through fractional operators
Sign Up to like & getrecommendations! Published in 2021 at "Results in physics"
DOI: 10.1016/j.rinp.2021.103855
Abstract: Abstract The main determination of this task is to investigate a mathematical system numerically and figure out the possible dynamics of transmission of HIV/AIDS disease in existence of an aware community. In our work, we… read more here.
Keywords: fractional operators; dynamics hiv; hiv aids; study transmission ... See more keywords
Fractional operators and multi-integral representations for associated Legendre functions
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0066214
Abstract: In a recent paper, Cohl and Costas-Santos derived a number of interesting multi-derivative and multi-integral relations for the associated Legendre and Ferrers functions in which the orders of those functions are changed in integral steps.… read more here.
Keywords: representations associated; associated legendre; operators multi; multi integral ... See more keywords
Classical and quantum gravity with fractional operators
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DOI: 10.1088/1361-6382/ac1081
Abstract: Following the same steps made for a scalar field in a parallel publication, we propose a class of perturbative theories of quantum gravity based on fractional operators, where the kinetic operator of the graviton is… read more here.
Keywords: gravity fractional; fractional operators; quantum gravity; gravity ... See more keywords
Neural Approximators for Variable-Order Fractional Calculus Operators (VO-FC)
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3143893
Abstract: The paper presents research on the approximation of variable-order fractional operators by recurrent neural networks. The research focuses on two basic variable-order fractional operators, i.e., integrator and differentiator. The study includes variations of the order… read more here.
Keywords: fractional operators; order fractional; recurrent neural; variable order ... See more keywords
Application of Fractal Theory, Fractional Operators, Textures, Scaling Effects, and Nonlinear Dynamics Methods in the Synthesis of New Information Technologies in Radio Electronics (Specifically, Radiolocation)
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Communications Technology and Electronics"
DOI: 10.1134/s1064226919080059
Abstract: In this review, we present the main results on the creation of new information technologies based on textures, fractals, fractional operators, scaling effects, and nonlinear dynamics methods that were obtained from 1979 to the present… read more here.
Keywords: effects nonlinear; nonlinear dynamics; fractional operators; new information ... See more keywords
ON THE WEIGHTED FRACTIONAL OPERATORS OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION
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DOI: 10.1142/s0218348x20400113
Abstract: The primary goal of this study is to define the weighted fractional operators on some spaces. We first prove that the weighted integrals are bounded in certain spaces. Afterwards, we discuss the we... read more here.
Keywords: operators function; respect another; weighted fractional; fractional operators ... See more keywords
ON WEIGHTED k-FRACTIONAL OPERATORS WITH APPLICATIONS IN MATHEMATICAL PHYSICS
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DOI: 10.1142/s0218348x21500845
Abstract: The main objective of this paper is to present weighted [Formula: see text]-fractional integral and derivative operators of a function with respect to another function and to uncover their properties. In addition to this, we… read more here.
Keywords: weighted fractional; mathematical physics; physics; fractional operators ... See more keywords
Electrical circuits RC and RL involving fractional operators with bi-order
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mechanical Engineering"
DOI: 10.1177/1687814017707132
Abstract: This article describes electrical series circuits RC and RL using the concept of derivative with two fractional orders α and β in Liouville–Caputo sense. The fractional equations consider derivatives in the range of α ,… read more here.
Keywords: involving fractional; liouville caputo; circuits involving; operators order ... See more keywords
The dynamics of a new chaotic system through the Caputo–Fabrizio and Atanagan–Baleanu fractional operators
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mechanical Engineering"
DOI: 10.1177/1687814019866540
Abstract: The aim of this article is to analyze the dynamics of the new chaotic system in the sense of two fractional operators, that is, the Caputo–Fabrizio and the Atangana–Baleanu derivatives. Initially, we consider a new… read more here.
Keywords: caputo fabrizio; atangana baleanu; new chaotic; chaotic system ... See more keywords
On a fractional Caputo–Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02741-7
Abstract: We investigate the existence of solutions for a Caputo–Hadamard fractional integro-differential equation with boundary value conditions involving the Hadamard fractional operators via different orders. By using the Krasnoselskii’s fixed point theorem, the Leray–Schauder nonlinear alternative,… read more here.
Keywords: hadamard fractional; via different; fractional operators; boundary value ... See more keywords