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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
Jinping Yang, Zhiqiang Li
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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 ...
A. Nain, R. Vats, Avadhesh Kumar
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Chaos Detection of the Chen System with Caputo-Hadamard Fractional Derivative

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2021
In this paper, we investigate the chaotic behaviors of the Chen system with Caputo–Hadamard derivative. First, we construct some practical numerical schemes for the Chen system with Caputo–Hadamard derivative.
Chuntao Yin
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Halanay inequality involving Caputo-Hadamard fractional derivative and application

International journal of nonlinear sciences and numerical simulation, 2022
A Halanay inequality with distributed delay of non-convolution type is considered. We establish a decay of solutions as a Mittag-Leffler function composed with a logarithmic function.
M. Kassim, N. Tatar
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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
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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   +2 more
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Efficient spectral collocation method for fractional differential equation with Caputo-Hadamard derivative

Fractional Calculus and Applied Analysis, 2023
Tinggang Zhao, Changpin Li, Dongxia Li
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Hyers-Ulam-Rassias Stability of some sequential neutral functional differential equations with Caputo-Hadamard fractional derivative

Miskolc Mathematical Notes
In this article, we employ a fixed point theory to investigate the stability in the sense of Hyers-Ulam-Rassias of some sequential neutral functional differential equations with Caputo-Hadamard fractional derivative. We present two examples to illustrate
A. B. Makhlouf, El-sayed El-hady
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A Boundary Value Problem with Caputo–Hadamard Fractional Derivative: Analysis and Numerical Solution

European Journal of Pure and Applied Mathematics
We investigate a boundary-value problem governed by a fractional differential equation, which is non-linear. The fractional derivative is the combined Caputo-Hadamard fractional derivative.
Afrah Hasan, S. Murad
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