Results 41 to 50 of about 26,220 (280)

Pathological study on uncertain numbers and proposed solutions for discrete fuzzy fractional order calculus

Open Physics, 2023
A pathological study in the definition of uncertain numbers is carried out, and some solutions are proposed. Fundamental theorems for uncertain discrete fractional and integer order calculus are established.
Shiri Babak, Baleanu Dumitru, Ma Chang-You   +2 more
doaj   +1 more source

On the nonoscillatory behavior of solutions of three classes of fractional difference equations [PDF]

Opuscula Mathematica, 2020
In this paper, we study the nonoscillatory behavior of three classes of fractional difference equations. The investigations are presented in three different folds.
Said Rezk Grace, Jehad Alzabut, Sakthivel Punitha, Velu Muthulakshmi, Hakan Adıgüzel   +4 more
doaj   +1 more source

Extending Discrete Exterior Calculus to a Fractional Derivative [PDF]

Computer-Aided Design, 2019
Fractional partial differential equations (FDEs) are used to describe phenomena that involve a "non-local" or "long-range" interaction of some kind. Accurate and practical numerical approximation of their solutions is challenging due to the dense matrices arising from standard discretization procedures.
Crum, Justin, Levine, Joshua A., Gillette, Andrew   +2 more
openaire   +2 more sources

A Survey on the Oscillation of Solutions for Fractional Difference Equations

Mathematics, 2022
In this paper, we present a systematic study concerning the developments of the oscillation results for the fractional difference equations. Essential preliminaries on discrete fractional calculus are stated prior to giving the main results.
Jehad Alzabut, Ravi P. Agarwal, Said R. Grace, Jagan M. Jonnalagadda, A. George Maria Selvam, Chao Wang   +5 more
doaj   +1 more source

Numerical solution of fractional Sturm-Liouville equation in integral form [PDF]

, 2014
In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $\alpha \in \left( 0,1 \right]$ in the finite time interval is transformed to the integral form.
Blaszczyk, Tomasz, Ciesielski, Mariusz
core   +1 more source

Discrete fractional calculus and the Saalschutz theorem [PDF]

Bulletin des Sciences Mathématiques, 2022
Two typos detected: in Theorem 3.10, $\alpha\in\mathbb{R}\backslash\mathbb{N}^{0}$, and, in page 9, line 6, substitute $(\alpha)^{\underline{n}}$ by $(\alpha)_n$
openaire   +3 more sources

Pharmacokinetics and Pharmacodynamics Models of Tumor Growth and Anticancer Effects in Discrete Time

Computational and Mathematical Biophysics, 2020
We study the h-discrete and h-discrete fractional representation of a pharmacokinetics-pharmacodynamics (PK-PD) model describing tumor growth and anticancer effects in continuous time considering a time scale h𝕅0, where h > 0.
Atıcı Ferhan M., Nguyen Ngoc, Dadashova Kamala, Pedersen Sarah E., Koch Gilbert   +4 more
doaj   +1 more source

A fully (3+1)-D Regge calculus model of the Kasner cosmology [PDF]

, 1997
We describe the first discrete-time 4-dimensional numerical application of Regge calculus. The spacetime is represented as a complex of 4-dimensional simplices, and the geometry interior to each 4-simplex is flat Minkowski spacetime.
, Adrian P Gentle, Barrett J W, Belasco E P, Belinsky V A, Brewin L C, Brewin L C, Centrella J, Dubal M R, Gentle A P, Gentle A P, Lewis S M, Matzner R A, Miller M, Miller M A, Miller W A, Miller W A, Miller W A, Misner C W, Regge T, Reisenberger M P, Tuckey P A, Warner A Miller, Wheeler J A, Wheeler J A, Williams R M, Williams R M, Wong C Y   +27 more
core   +4 more sources

The Effect of Caputo Fractional Variable Difference Operator on a Discrete-Time Hopfield Neural Network with Non-Commensurate Order

Fractal and Fractional, 2022
In this work, we recall some definitions on fractional calculus with discrete-time. Then, we introduce a discrete-time Hopfield neural network (D.T.H.N.N) with non-commensurate fractional variable-order (V.O) for three neurons.
Rabia Chaimaà Karoun, Adel Ouannas, Mohammed Al Horani, Giuseppe Grassi   +3 more
doaj   +1 more source

Discrete Grüss type inequality on fractional calculus [PDF]

Journal of Inequalities and Applications, 2015
نعطي متباينة منفصلة من نوع Grüss على حساب التفاضل والتكامل الكسري.
Elvan Akın, Serkan Aslıyüce, Ayşe Feza Güvenilir, Bıllûr Kaymakçalan   +3 more
openaire   +2 more sources