Results 171 to 180 of about 1,241 (197)

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

2021
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 \(^{cH}D^{\alpha}\)
Belbali, Hadjer, Benbachir, Maamar
openaire   +1 more source

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

Fractional Calculus and Applied Analysis, 2023
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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

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

Ulam-Hyers stability of uncertain functional differential equation in fuzzy setting with Caputo-Hadamard fractional derivative concept

Journal of Intelligent & Fuzzy Systems, 2019
 In this work, by using the Caputo-Hadamard fractional derivative concept, we propose a new class of fuzzy functional differential equation. In this sense, we establish the existence of the solution, the Ulam-Hyers stability and the Ulam-Hyers-Mittag-Leffler stability for the given problem by means of successive approximation method.
Ho Vu 0001, Truong Vinh An, Ngo Van Hoa
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.
Chuntao Yin, Yufei Zhao, Yangquan Chen, Yongjun Shen   +3 more
openaire   +1 more source

Caputo–Hadamard fractional Halanay inequality

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

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  

Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives

Fractional Calculus and Applied Analysis, 2023
openaire   +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
Kaouther Bouchama, Yacine Arioua, Abdelkrim Merzougui   +2 more
openaire   +1 more source