Results 41 to 50 of about 12,535 (181)

Dynamics and simulations of discretized Caputo-conformable fractional-order Lotka–Volterra models

Nonlinear Engineering, 2022
In this article, a prey–predator system is considered in Caputo-conformable fractional-order derivatives. First, a discretization process, making use of the piecewise-constant approximation, is performed to secure discrete-time versions of the two ...
Yousef Feras, Semmar Billel, Al Nasr Kamal   +2 more
doaj   +1 more source

Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

, 2010
We prove optimality conditions for different variational functionals containing left and right Caputo fractional derivatives. A sufficient condition of minimization under an appropriate convexity assumption is given.
Agrawal, Agrawal, Agrawal, Agrawal, Agrawal, Agrawal, Almeida, Almeida, Atanacković, Blutzer, Delfim F.M. Torres, Dreisigmeyer, Dreisigmeyer, Frederico, Frederico, Inizan, Jónsson, Kilbas, Klimek, Klimek, Lorenzo, Mainardi, Malinowska Agnieszka, Miller, Muslih, Muslih, Podlubny, Ricardo Almeida, Riewe, Riewe, Samko, van Brunt   +31 more
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Towards Fractional Gradient Elasticity

, 2013
An extension of gradient elasticity through the inclusion of spatial derivatives of fractional order to describe power-law type of non-locality is discussed. Two phenomenological possibilities are explored.
Aifantis, Elias C., Tarasov, Vasily E.
core   +1 more source

Separation and stability of solutions to nonlinear systems involving Caputo–Fabrizio derivatives

Advances in Difference Equations, 2020
This work mainly investigates the separation and stability of solutions to nonlinear systems involving Caputo–Fabrizio fractional derivatives. An inequality ensuring the positivity of the fractional derivative at a given point is derived, by which the ...
Wenyong Zhong, Lanfang Wang, Thabet Abdeljawad   +2 more
doaj   +1 more source

Quadratic Lyapunov Functions for Stability of the Generalized Proportional Fractional Differential Equations with Applications to Neural Networks

Axioms, 2021
A fractional model of the Hopfield neural network is considered in the case of the application of the generalized proportional Caputo fractional derivative. The stability analysis of this model is used to show the reliability of the processed information.
Ricardo Almeida, Ravi P. Agarwal, Snezhana Hristova, Donal O’Regan   +3 more
doaj   +1 more source

Generalized time fractional IHCP with Caputo fractional derivatives

Journal of Physics: Conference Series, 2008
The numerical solution of the generalized time fractional inverse heat conduction problem (GTFIHCP) on a finite slab is investigated in the presence of measured (noisy) data when the time fractional derivative is interpreted in the sense of Caputo. The GTFIHCP involves the simultaneous identification of the heat flux and temperature transient functions
D A Murio, C E Mejía
openaire   +1 more source

Processing Fractional Differential Equations Using ψ-Caputo Derivative

Symmetry, 2023
Recently, many scientists have studied a wide range of strategies for solving characteristic types of symmetric differential equations, including symmetric fractional differential equations (FDEs). In our manuscript, we obtained sufficient conditions to prove the existence and uniqueness of solutions (EUS) for FDEs in the sense ψ-Caputo fractional ...
Mahrouz Tayeb, Hamid Boulares, Abdelkader Moumen, Moheddine Imsatfia   +3 more
openaire   +1 more source

A Fractional-Order Chemical System: Numerical Analysis with Distinct Variable-Order Derivatives

Journal of Mathematical Sciences and Modelling
Fractional calculus models complicated systems that exhibit memory effects, showing much greater potential than classical integer-order derivatives in modeling chaotic systems.
Ughur Budaq, Emrullah Yaşar
doaj   +1 more source

Time fractional IHCP with Caputo fractional derivatives

Computers & Mathematics with Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Fractional Curve Flows and Solitonic Hierarchies in Gravity and Geometric Mechanics

, 2011
Methods from the geometry of nonholonomic manifolds and Lagrange-Finsler spaces are applied in fractional calculus with Caputo derivatives and for elaborating models of fractional gravity and fractional Lagrange mechanics.
Dumitru Baleanu, Gorenflo R., Kilbas A. A., Sergiu I. Vacaru   +3 more
core   +1 more source