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On dynamics of fractional incommensurate model of Covid-19 with nonlinear saturated incidence rate
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Blowup for semilinear fractional diffusion system with Caputo–Hadamard derivative
Mathematical Methods in the Applied Sciences, 2022The 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 ...
Zhiqiang Li
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Mathematical Methods in the Applied Sciences, 2023
In this paper, we study the existence and uniqueness of the global solution to the Fractional Hyperbolic Systems of Partial Differential equations (FHyPDifS) by the Caputo–Hadamard fractional‐order derivative. In addition, we give a new sufficient conditions for the finite time stability (FTS) of FHyPDifS for the Caputo–Hadamard fractional‐order ...
Hassen Arfaoui
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In this paper, we study the existence and uniqueness of the global solution to the Fractional Hyperbolic Systems of Partial Differential equations (FHyPDifS) by the Caputo–Hadamard fractional‐order derivative. In addition, we give a new sufficient conditions for the finite time stability (FTS) of FHyPDifS for the Caputo–Hadamard fractional‐order ...
Hassen Arfaoui
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Computational and Applied Mathematics, 2021
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Yoke Teng Toh, Chang Phang
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Yoke Teng Toh, Chang Phang
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Halanay inequality involving Caputo-Hadamard fractional derivative and application
International Journal of Nonlinear Sciences and Numerical Simulation, 2022Abstract 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. A general sufficient condition is found and a large class of admissible retardation kernels is provided.
Mohammed D. Kassim, Nasser-eddine Tatar
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MILD SOLUTIONS OF COUPLED HYBRID FRACTIONAL ORDER SYSTEM WITH CAPUTO–HADAMARD DERIVATIVES
Fractals, 2021This 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 +4 more
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Communications in Nonlinear Science and Numerical Simulation, 2022
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Enyu Fan, Changpin Li, Zhiqiang Li
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Enyu Fan, Changpin Li, Zhiqiang Li
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Chaos Detection of the Chen System with Caputo–Hadamard Fractional Derivative
International Journal of Bifurcation and Chaos, 2021In 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. Then, by means of the variational equation, we estimate the bounds of the Lyapunov exponents for the considered system.
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