Results 171 to 180 of about 13,452 (220)

Dynamical features and complete synchronization of unified chaotic systems with Caputo-Hadamard fractional derivative

Journal of Computational and Nonlinear Dynamics
This paper investigates the dynamical characteristics and synchronization of the unified chaotic system with Caputo-Hadamard fractional derivative.
Chuntao Yin, Yufei Zhao, Yangquan Chen, Yongjun Shen   +3 more
semanticscholar   +2 more sources

Temporal discretization for Caputo–Hadamard fractional derivative with incomplete Gamma function via Whittaker function

Computational and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoke Teng Toh, Chang Phang, Yong Xian Ng
semanticscholar   +2 more sources

Stability for coupled systems on networks with Caputo-Hadamard fractional derivative

, 2020
Summary: This paper discusses stability and uniform asymptotic stability of the trivial solution of the following coupled systems of fractional differential equations on networks \[ \left\{\begin{array}{lll} ^{cH}D^{\alpha}x_i=f_i(t,x_i)+\sum\limits_{j=1}^ng_{ij}(t,x_i,x_j),\quad t>t_0,\\ x_i(t_0)=x_{i0}, \end{array}\right. \] where \(^{cH}D^{\alpha}\)
Hadjer Belbali, M. Benbachir
semanticscholar   +2 more sources

Reconstruct the unknown source on the right hand side of time fractional diffusion equation with Caputo-Hadamard derivative

Electronic Journal of Applied Mathematics
The Caputo-Hadamard derivative was used to investigate the problem of functional recovery in this study. This problem is ill-posed, we propose a novel Quasi-reversibility for reconstructing the sought function and show that the regularization solution ...
Ngo Ngoc Hung, Danh Hua Quoc Nam, Dinh Long Le   +2 more
semanticscholar   +2 more sources

Finite Difference Approximation for the Space-Time Fractional Linear Diffusion Equation Involving the Caputo-Hadamard Fractional Derivative

International Journal of Applied and Computational Mathematics, 2023
K. Bouchama, Yacine Arioua, A. Merzougui
semanticscholar   +2 more sources

Blowup for semilinear fractional diffusion system with Caputo–Hadamard derivative

Mathematical Methods in the Applied Sciences, 2022
The main aim of this paper is to study the blowing‐up behavior of the solution for semilinear fractional diffusion system with the Caputo–Hadamard derivative and the fractional Laplacian. We construct a mild solution of the semilinear system by using the fundamental solutions and then prove the local existence and uniqueness of the mild solution by ...
Jinping Yang, Zhiqiang Li
openaire   +1 more source

MILD SOLUTIONS OF COUPLED HYBRID FRACTIONAL ORDER SYSTEM WITH CAPUTO–HADAMARD DERIVATIVES

Fractals, 2021
This paper is devoted to prove the existence of mild solutions of coupled hybrid fractional order system with Caputo–Hadamard derivatives using Dhage fixed point theorem in Banach algebras. In order to confirm the applicability of obtained result an example is also presented.
Bedi, Pallavi, Kumar, Anoop, Abdeljawad, Thabet, Khan, Aziz, Gómez-Aguilar, J. F.   +4 more
openaire   +1 more source

Efficient spectral collocation method for fractional differential equation with Caputo-Hadamard derivative

Fractional Calculus and Applied Analysis, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tinggang Zhao, Changpin Li, Dongxia Li
openaire   +1 more source

Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions

Mathematical Methods in the Applied Sciences, 2020
This paper aims to study the sufficient conditions for the existence and uniqueness of solutions to the multipoint coupled boundary value problem of nonlinear Caputo–Hadamard fractional differential equations associating with nonlocal integral boundary conditions.
Ankit Nain, Ramesh Vats, Avadhesh Kumar
openaire   +2 more sources

Numerical approaches to Caputo–Hadamard fractional derivatives with applications to long-term integration of fractional differential systems

Communications in Nonlinear Science and Numerical Simulation, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enyu Fan, Changpin Li, Zhiqiang Li
openaire   +1 more source