Results 91 to 100 of about 621,794 (386)

Operators of Fractional Calculus and Their Applications [PDF]

Mathematics, 2018
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openaire   +5 more sources

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Fractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj   +1 more source

Fractional Solutions of Bessel Equation with -Method

The Scientific World Journal, 2013
This paper deals with the design fractional solution of Bessel equation. We obtain explicit solutions of the equation with the help of fractional calculus techniques.
Erdal Bas, Resat Yilmazer, Etibar Panakhov   +2 more
doaj   +1 more source

Estimation of generalized fractional integral operators with nonsingular function as a kernel

AIMS Mathematics, 2021
Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and
Iqra Nayab, Shahid Mubeen, Rana Safdar Ali, Gauhar Rahman, Abdel-Haleem Abdel-Aty, Emad E. Mahmoud, Kottakkaran Sooppy Nisar   +6 more
doaj   +1 more source

Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus

Computer Modeling in Engineering & Sciences, 2020
: In this work, a system of three masses on the vertices of equilateral triangle is investigated. This system is known in the literature as a planar system. We fi rst give a description to the system by constructing its classical Lagrangian. Secondly, the
D. Baleanu, B. Ghanbari, J. Asad, A. Jajarmi, H. M. Pirouz   +4 more
semanticscholar   +1 more source

The thioredoxin‐like and one glutaredoxin domain are required to rescue the iron‐starvation phenotype of HeLa GLRX3 knock out cells

FEBS Letters, EarlyView.
Glutaredoxin (Grx) 3 proteins contain a thioredoxin domain and one to three class II Grx domains. These proteins play a crucial role in iron homeostasis in eukaryotic cells. In human Grx3, at least one of the two Grx domains, together with the thioredoxin domain, is essential for its function in iron metabolism.
Laura Magdalena Jordt, Manuela Gellert, Finja Zelms, Sander Bekeschus, Christopher Horst Lillig   +4 more
wiley   +1 more source

Abelian Groups of Fractional Operators

Computer Sciences & Mathematics Forum, 2022
Taking into count the large number of fractional operators that have been generated over the years, and considering that their number is unlikely to stop increasing at the time of writing this paper due to the recent boom of fractional calculus ...
Anthony Torres-Hernandez, Fernando Brambila-Paz, Rafael Ramirez-Melendez   +2 more
doaj   +1 more source

Derivatives and integrals: matrix order operators as an extension of the fractional calculus [PDF]

arXiv, 2020
A natural consequence of the fractional calculus is its extension to a matrix order of differentiation and integration. A matrix-order derivative definition and a matrix-order integration arise from the generalization of the gamma function applied to the fractional differintegration definition.
arxiv  

On some analytic properties of tempered fractional calculus [PDF]

Journal of Computational and Applied Mathematics 366 (2020), 112400, 2019
We consider the integral and derivative operators of tempered fractional calculus, and examine their analytic properties. We discover connections with the classical Riemann-Liouville fractional calculus and demonstrate how the operators may be used to obtain special functions such as hypergeometric and Appell's functions.
arxiv   +1 more source

Sturm-Liouville problem in multiplicative fractional calculus

AIMS Mathematics
Multiplicative calculus, or geometric calculus, is an alternative to classical calculus that relies on division and multiplication as opposed to addition and subtraction, which are the basic operations of classical calculus.
Tuba Gulsen, Sertac Goktas, Thabet Abdeljawad , Yusuf Gurefe   +3 more
doaj   +1 more source