Results 101 to 110 of about 602,498 (123)

Existence and stability of Caputo and Caputo–Hadamard fractional boundary value problems on the Convolutamine F molecular graph with four-point boundary conditions

Results in Control and Optimization
The present study investigates fractional boundary value problems associated with the graph structure of Convolutamine F under four-point boundary conditions.
Areeba Maqbool, Sarfraz Ahmad, Firas Ghanim, Zahid Raza   +3 more
doaj   +1 more source

Approximation of Hamilton-Jacobi equations with Caputo time-fractional derivative

, 2020
In this paper, we investigate the numerical approximation of Hamilton-Jacobi equations with the Caputo time-fractional derivative. We introduce an explicit in time discretization of the Caputo derivative and a finite difference scheme for the ...
Fabio Camilli, Serik Duisembay
core  

Impulsive Control of Variable Fractional-Order Multi-Agent Systems

Fractal and Fractional
The main goal of the paper is to present and study models of multi-agent systems for which the dynamics of the agents are described by a Caputo fractional derivative of variable order and a kernel that depends on an increasing function.
Ravi P. Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
doaj   +1 more source

Analytical solutions for Navier-Stokes Equations with Caputo Fractional Derivative

In this work, we will use the residual power series (RPS) method to generate the solution of the nonlinear time fractional Navier-Stokes equation with Caputo fractional derivative in two dimensions in the form of a rapidly convergent series,where we ...
Mariam, NOUIOUA, Supervisor: Hamza, MIHOUBI   +1 more
core  

On a Caputo-Type Fractional Derivative

Advances in Pure and Applied Mathematics, 2019
In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola.
Edmundo Capelas de Oliveira
exaly   +3 more sources

Experimental Study of Fractional-Order RC Circuit Model Using the Caputo and Caputo-Fabrizio Derivatives

IEEE Transactions on Circuits and Systems I: Regular Papers, 2021
Experimental Study of Fractional-Order RC Circuit Model Using the Caputo and Caputo-Fabrizio ...
Xiaozhong Liao, Herbert Ho-Ching Iu, Samson Shenglong Yu   +2 more
exaly   +1 more source

Unexpected Behavior of Caputo Fractional Derivative

Computational and Applied Mathematics, 2017
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Processo FAPESP: 2013/08133-0This paper discusses the modeling via mathematical methods based on fractional calculus, using ...
Rubens de Figueiredo Camargo, Robinson Tavoni, Paulo Fernando de Arruda Mancera   +2 more
exaly   +2 more sources

Variational Problems Involving a Caputo-Type Fractional Derivative [PDF]

Journal of Optimization Theory and Applications, 2017
We study calculus of variations problems, where the Lagrange function depends on the Caputo-Katugampola fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo–Hadamard fractional derivatives, with ...
Ricardo Almeida
exaly   +2 more sources

Dynamics of the Caputo Fractional Derivative [PDF]

Fractional Calculus and Applied Analysis
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.
Marina Murillo-Arcila
exaly   +2 more sources

Implicit Fractional Differential Equations via the Liouville–Caputo Derivative [PDF]

Mathematics, 2015
We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative.
Juan J Nieto
exaly   +2 more sources