Results 1 to 10 of about 1,341,149 (142)

The Allen-Cahn equation with a time Caputo-Hadamard derivative: Mathematical and Numerical Analysis

Communications in Analysis and Mechanics, 2023
In this paper, we investigate the local discontinuous Galerkin (LDG) finite element method for the fractional Allen-Cahn equation with Caputo-Hadamard derivative in the time domain.
Zhen Wang, Lu Sun
semanticscholar   +1 more source

Impulsive fractional differential equations with state-dependent delay involving the Caputo-Hadamard derivative

Filomat, 2023
In this paper, we investigate the existence of solutions for a class of initial value problems for impulsive Caputo-Hadamard fractional differential equations with state-dependent delay.
Amouria Hammou, S. Hamani, J. Henderson
semanticscholar   +1 more source

Asymptotic behaviors of solution to partial differential equation with Caputo–Hadamard derivative and fractional Laplacian: Hyperbolic case

Discrete and Continuous Dynamical Systems. Series A, 2021
This paper is concerned with the asymptotic behaviors of solution to time–space fractional partial differential equation with Caputo–Hadamard derivative (in time) and fractional Laplacian (in space) in the hyperbolic case, that is, the Caputo–Hadamard ...
Changpin Li, Zhiqiang Li
semanticscholar   +1 more source

Some results for a class of delayed fractional partial differential equations with Caputo–Hadamard derivative

Mathematical methods in the applied sciences, 2023
In this paper, we study the existence and uniqueness of the global solution to the Fractional Hyperbolic Systems of Partial Differential equations (FHyPDifS) by the Caputo–Hadamard fractional‐order derivative.
Hassen Arfaoui, Abdellatif Ben Makhlouf
semanticscholar   +1 more source

Functional Impulsive Fractional Differential Equations Involving the Caputo-Hadamard Derivative and Integral Boundary Conditions

International Journal of Analysis and Applications, 2023
In this paper, we investigate the existence and uniqueness of solutions for functional impulsive fractional differential equations and integral boundary conditions. Our results are based on some fixed point theorems.
Aida Irguedi, Khadidja Nisse, S. Hamani
semanticscholar   +1 more source

Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative

Mathematics, 2021
The main aim of this paper is to investigate the combination synchronization phenomena of various fractional-order systems using the scaling matrix. For this purpose, the combination synchronization is performed by considering two drive systems and one ...
A. M. Nagy, A. B. Makhlouf, Abdulaziz Alsenafi, Fares Alazemi   +3 more
semanticscholar   +1 more source

On Some Operators Involving Hadamard Derivatives [PDF]

, 2013
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
core   +1 more source

Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]

, 2011
We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given.
AA Kilbas, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, B Brunt van, D Baleanu, D Baleanu, D Baleanu, D Mozyrska, D Mozyrska, DFM Torres, F Riewe, GSF Frederico, GSF Frederico, GSF Frederico, I Podlubny, NRO Bastos, NRO Bastos, OP Agrawal, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Magin, RA El-Nabulsi, RA El-Nabulsi, TM Atanacković   +29 more
core   +3 more sources

Correlated fractional counting processes on a finite time interval [PDF]

, 2014
We present some correlated fractional counting processes on a finite time interval. This will be done by considering a slight generalization of the processes in Borges et al. (2012).
Beghin, Luisa, Garra, Roberto, Macci, Claudio   +2 more
core   +1 more source

Local density of Caputo-stationary functions in the space of smooth functions [PDF]

, 2016
We consider the Caputo fractional derivative and say that a function is Caputo-stationary if its Caputo derivative is zero. We then prove that any $C^k\big([0,1]\big)$ function can be approximated in $[0,1]$ by a a function that is Caputo-stationary in $[
Bucur, Claudia
core   +2 more sources