Results 11 to 20 of about 39,805 (286)
Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator
Advances in Difference Equations, 2020 In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the dengue model.
Fatmawati +3 more
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Alexandria Engineering Journal, 2020 The present paper consider a newly introduced operator known as fractal-fractional where the fractional operator considered is Caputo-Fabrizio. We consider a competition system and propose the field data of banks for 2004–2014 of Indonesia banks of the ...
Abdon Atangana +2 more
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Fractal and Fractional, 2023 In this study, we delve into the general theory of operator kernel functions (OKFs) in operational calculus (OC). We established the rigorous mapping relation between the kernel function and the corresponding operator through the primary translation ...
Xiaobin Yu, Yajun Yin
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Fractal Curves on Banach Algebras
Fractal and Fractional, 2022 Most of the fractal functions studied so far run through numerical values. Usually they are supported on sets of real numbers or in a complex field. This paper is devoted to the construction of fractal curves with values in abstract settings such as ...
María A. Navascués
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Modeling and analysis of an epidemic model with fractal-fractional Atangana-Baleanu derivative
Alexandria Engineering Journal, 2022 Mathematical modeling of infectious diseases with non-integer order getting attentions from scientists and researchers day by day. It is obvious that classical models in epidemiology can only be described through a fixed order while models in fractional ...
M.M. El-Dessoky, Muhammad Altaf Khan
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Results in Physics, 2022 Scientists and researchers are increasingly interested in numerical simulations of infections with non-integer orders. It is self-evident that conventional epidemiological systems can be given in a predetermined order, but fractional-order derivative ...
Saima Rashid +2 more
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Effect of vaccination to control COVID-19 with fractal fractional operator
Alexandria Engineering Journal, 2022 Currently, Atangana proposed new fractal-fractional operators that had extensively used to observe the unpredictable elements of an issue. COVID-19 is a pervasive infection today and is hard to fix.
Maryam Amin +3 more
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Fractal Convolution: A New Operation Between Functions [PDF]
Fractional Calculus and Applied Analysis, 2019 In this paper we define an internal binary operation between functions called in the text \emph{fractal convolution}, that applies a pair of mappings into a fractal function. This is done by means of a suitable Iterated Function System. We study in detail the operation in $\mathcal{L}^p$ spaces and in sets of continuous functions, in a different way to
Navascués, María A. +1 more
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Riemann Zeroes and Phase Transitions via the Spectral Operator on Fractal Strings [PDF]
, 2012 The spectral operator was introduced by M. L. Lapidus and M. van Frankenhuijsen [La-vF3] in their reinterpretation of the earlier work of M. L. Lapidus and H. Maier [LaMa2] on inverse spectral problems and the Riemann hypothesis.
Herichi, Hafedh, Lapidus, Michel L.
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Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function [PDF]
, 2013 We survey some of the universality properties of the Riemann zeta function $\zeta(s)$ and then explain how to obtain a natural quantization of Voronin's universality theorem (and of its various extensions).
Herichi, Hafedh, Lapidus, Michel L.
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