Results 31 to 40 of about 120,593 (286)

On two fractional differential inclusions [PDF]

SpringerPlus, 2016
We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. To illustrate our results we present an illustrative example.
Dumitru Baleanu, Vahid Hedayati, Shahram Rezapour, Maysaa’ Mohamed Al Qurashi   +3 more
openaire   +2 more sources

Fractional Behaviours Modelling with Volterra Equations: Application to a Lithium-Ion Cell and Comparison with a Fractional Model

Fractal and Fractional, 2022
This paper proposes to model fractional behaviors using Volterra equations. As fractional differentiation-based models that are commonly used to model such behaviors exhibit several drawbacks and are particular cases of Volterra equations (in the kernel ...
Vincent Tartaglione, Christophe Farges, Jocelyn Sabatier   +2 more
doaj   +1 more source

A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations

, 2007
Fractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject, the main result being ...
Agrawal, Agrawal, Agrawal, Baleanu, Delfim F.M. Torres, Gastão S.F. Frederico, Gouveia, Hilfer, Jost, Kilbas, Klimek, Miller, Muslih, Riewe, Riewe, Samko, Torres, Torres, Torres   +18 more
core   +1 more source

Neural fractional differential equations

Applied Mathematical Modelling
Fractional Differential Equations (FDEs) are essential tools for modelling complex systems in science and engineering. They extend the traditional concepts of differentiation and integration to non-integer orders, enabling a more precise representation of processes characterised by non-local and memory-dependent behaviours.
C. Coelho, M. Fernanda P. Costa, L.L. Ferrás   +2 more
openaire   +3 more sources

Symmetrized Neural Network Operators in Fractional Calculus: Caputo Derivatives, Asymptotic Analysis, and the Voronovskaya–Santos–Sales Theorem

Axioms
This work presents a comprehensive mathematical framework for symmetrized neural network operators operating under the paradigm of fractional calculus.
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales, Gislan Silveira Santos   +2 more
doaj   +1 more source

Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics

, 2011
We developed an analytical approach, for a wave propagation in metal-dielectric nanostructures in the quasi-static limit. This consideration establishes a link between fractional geometry of the nanostructure and fractional integro-differentiation.
Baskin, E., Iomin, A.
core   +1 more source

Group Theoretical Foundations of Fractional Supersymmetry [PDF]

, 1995
Fractional supersymmetry denotes a generalisation of supersymmetry which may be constructed using a single real generalised Grassmann variable, $\theta = \bar{\theta}, \, \theta^n = 0$, for arbitrary integer $n = 2, 3, ...$.
A. J. Macfarlane, Biedenharn L. C., Debergh N., J. A. de Azcárraga, Khare A., Macfarlane A. J.   +5 more
core   +2 more sources

Generalized Fractional Derivative, Fractional differential ring

, 2021
There are many possible definitions of derivatives, here we present some and present one that we have called generalized that allows us to put some of the others as a particular case of this but, what interests us is to determine that there is an infinite number of possible definitions of fractional derivatives, all are correct as differential ...
Toghani, Zeinab, Gaggero, Luis
openaire   +2 more sources

Singular integrals with variable kernel and fractional differentiation in homogeneous Morrey-Herz-type Hardy spaces with variable exponents

Open Mathematics, 2018
Let T be the singular integral operator with variable kernel defined by Tf(x)=p.v.∫RnΩ(x,x−y)|x−y|nf(y)dy$$\begin{array}{} \displaystyle Tf(x)= p.v. \int\limits_{\mathbb{R}^{n}}\frac{{\it\Omega}(x,x-y)}{|x-y|^{n}}f(y)\text{d}y \end{array} $$
Yang Yanqi, Tao Shuangping
doaj   +1 more source

A bi‐directional fractional‐order derivative mask for image processing applications

IET Image Processing, 2020
Fractional computation has been recently designed as a major mathematical tool in image and signal processing fields. This study presents a novel operator established for two‐dimensional fractional differentiation.
Meriem Hacini, Fella Hachouf, Abdelfatah Charef   +2 more
doaj   +1 more source