Results 161 to 170 of about 38,304 (201)

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   +1 more source

Center Manifold Reduction for Caputo-Hadamard Fractional Differential System

Journal of Computational and Nonlinear Dynamics
The aim of this paper is to establish a local fractional center manifold reduction that aligns with the distinctive characteristics of Caputo-Hadamard fractional differential system (C-HFDS).
Li Ma, Ya Shu
semanticscholar   +1 more source

Asymptotic behaviours of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian

International Journal of Computational Mathematics, 2020
In this paper, we study the asymptotic behaviours of solution to time–space fractional diffusion equation, where the time derivative with order α is in the sense of Caputo–Hadamard and the spatial derivative is in the sense of fractional Laplacian ...
Changpin Li, Zhiqiang Li
semanticscholar   +1 more source

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

Computational and Applied Mathematics, 2021
Yoke Teng Toh, Chang Phang, Yong Xian Ng
semanticscholar   +1 more source

Inverse initial problem for fractional wave equation with the Hadamard fractional derivative

Kazakh Mathematical Journal
This paper investigates an inverse initial problem for a time-fractional wave equation involving the Hadamard fractional derivative. Unlike the more widely studied Caputo and Riemann–Liouville derivatives, the Hadamard derivative is defined via a ...
Zukhridin Alimov, S. Kerbal
semanticscholar   +1 more source

On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative

Mathematical Modelling and Control
In this paper, we investigate the existence and uniqueness of $ L^p $-solutions for nonlinear fractional differential and integro-differential equations with boundary conditions using the Caputo-Hadamard derivative.
Abduljawad K. Anwar, S. Murad
semanticscholar   +1 more source

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   +1 more source

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   +1 more source

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

, 2020
Hadjer Belbali, M. Benbachir
semanticscholar   +1 more source

The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian

Journal of nonlinear science, 2021
Changpin Li, Zhiqiang Li
semanticscholar   +1 more source