Results 81 to 90 of about 295 (201)

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source

Dynamics of the Caputo fractional derivative

Fractional Calculus and Applied Analysis
Abstract In this article we analyse the dynamical behaviour of the Caputo complex fractional derivative. We prove that the Caputo complex fractional derivative operator is Devaney chaotic in the Mittag-Leffler Caputo space. We will also show that a tuple of different iterates of a Caputo derivative multiple is disjoint hypercyclic.
Marina Murillo-Arcila, Alfred Peris, Álvaro Vargas-Moreno   +2 more
openaire   +3 more sources

Existence of positive solutions to a coupled system of fractional hybrid differential equations [PDF]

Matrix Science Mathematic, 2018
where Dα is the Caputo’s fractional derivative of order α ,1 0 and the functions f : j × R × R → R , f (0,0) = 0 and g : j × R× R → R satisfy certain conditions.
Ghulam Hussain, Rahmat Ali Khan, Muhammad Iqbal   +2 more
doaj   +1 more source

A fractional order theory of poroelasticity

, 2019
We introduce a time memory formalism in the flux-pressure constitutive relation, ruling the fluid diffusion phenomenon occurring in several classes of porous media.
Fraldi M., Zingales M., Deseri L., Alaimo G., Cutolo A., Piccolo V.   +5 more
core   +1 more source

FRACTIONAL CAPUTO-FABRIZIO DERIVATIVE WITH APPLICATIONS

, 2015
80
openaire   +2 more sources

Caputo–Hadamard Fractional Derivatives of Variable Order [PDF]

Numerical Functional Analysis and Optimization, 2016
ABSTRACTIn this article, we present three types of Caputo–Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given.
openaire   +2 more sources

Incomplete Caputo fractional derivative operators [PDF]

Advances in Difference Equations, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozarslan, Mehmet Ali, Ustaoglu, Ceren
openaire   +4 more sources

On the stable numerical evaluation of caputo fractional derivatives

Computers & Mathematics with Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A new modified homotopy perturbation method for fractional partial differential equations with proportional delay

, 2020
In this paper, we suggest and analyze a technique by combining the Shehu transform method and the homotopy perturbation method. This method is called the Shehu transform homotopy method (STHM).
Sameehah. R. Alkaleeli, Ahmad. A. H. Mtawal   +1 more
core   +1 more source

Evaluation of fractional integrals and derivatives of elementary functions: Overview and tutorial [PDF]

, 2019
Several fractional-order operators are available and an in-depth knowledge of the selected operator is necessary for the evaluation of fractional integrals and derivatives of even simple functions.
Garrappa R., Kaslik E., Popolizio M.
core   +1 more source