Results 181 to 190 of about 377,360 (199)

A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative

Journal of Computational Mathematics
Summary: In this paper, we consider numerical solutions of the fractional diffusion equation with the \(\alpha\) order time fractional derivative defined in the Caputo-Hadamard sense. A high order time-stepping scheme is constructed, analyzed, and numerically validated.
Ye, Xingyang, Cao, Junying, Xu, Chuanju
openaire   +2 more sources

Superconvergence analysis of the nonconforming FEM for the Allen–Cahn equation with time Caputo–Hadamard derivative

Physica D: Nonlinear Phenomena
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Zhen Wang, Luhan Sun, Yabing Wei
openaire   +1 more source

Dynamical Features and Complete Synchronization of Unified Chaotic Systems With Caputo-Hadamard Fractional Derivative

Journal of Computational and Nonlinear Dynamics
Abstract This paper investigates the dynamical characteristics and synchronization of a unified chaotic system described by Caputo–Hadamard fractional derivative. The equilibrium solutions of the considered system are first analyzed and confirmed to be unstable. Then, by observing the phase diagram and calculating the largest Lyapunov
Chuntao Yin, Yufei Zhao, Yangquan Chen, Yongjun Shen   +3 more
openaire   +1 more source

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

Mathematical Methods in the Applied Sciences, 2021
Ramesh Kumar Vats, Avadhesh Kumar
exaly  

Caputo–Hadamard fractional Halanay inequality

Applied Mathematics Letters, 2022
Hua-Cheng Zhou, Bin-Bin He
exaly  

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

Discrete and Continuous Dynamical Systems - Series S, 2021
Changpin Li
exaly  

Some results on the study of Caputo–Hadamard fractional stochastic differential equations

Chaos, Solitons and Fractals, 2022
Abdellatif Ben Makhlouf
exaly  

On Averaging Principle for Caputo–Hadamard Fractional Stochastic Differential Pantograph Equation

Fractal and Fractional, 2023
Saleh Alshammari, Wael Wagih Mohammed, Mohammad Alshammari   +2 more
exaly  

Spectral deferred correction method for fractional initial value problem with Caputo–Hadamard derivative

Mathematics and Computers in Simulation
Xiaoyuan Liu, Min Cai
openaire   +3 more sources

Existence and Uniqueness Results for a Coupled System of Caputo-Hadamard Fractional Differential Equations with Nonlocal Hadamard Type Integral Boundary Conditions

Fractal and Fractional, 2020
Bashir Ahmad, Shorog Aljoudi, Ahmed Alsaedi   +2 more
exaly