Finite time stability of tempered fractional systems with time delays

Zitane, Hanaa; Torres, Delfim F.M.

doi:10.1016/j.chaos.2023.114265

Chaos, Solitons & Fractals

2023

DOI: 10.1016/j.chaos.2023.114265

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Finite time stability of tempered fractional systems with time delays

Hanaa Zitane,

Delfim F.M. Torres

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2025

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Cited by 2 publications

References 21 publications

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Controllability and observability of tempered fractional differential systems

Lamrani,

Zitane,

Torres

2025

Communications in Nonlinear Science and Numerical Simulation

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Controllability and observability of tempered fractional differential systems

Lamrani,

Zitane,

Torres

2025

Communications in Nonlinear Science and Numerical Simulation

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Fractional tempered differential equations depending on arbitrary kernels

Almeida,

Martins,

Sousa

2024

MATH

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<abstract><p>In this paper, we expanded the concept of tempered fractional derivatives within both the Riemann-Liouville and Caputo frameworks, introducing a novel class of fractional operators. These operators are characterized by their dependence on a specific arbitrary smooth function. We then investigated the existence and uniqueness of solutions for a particular class of fractional differential equations, subject to specified initial conditions. To aid our analysis, we introduced and demonstrated the application of Picard's iteration method. Additionally, we utilized the Gronwall inequality to explore the stability of the system under examination. Finally, we studied the attractivity of the solutions, establishing the existence of at least one attractive solution for the system. Throughout the paper, we provide examples and remarks to support and reinforce our findings.</p></abstract>

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Finite time stability of tempered fractional systems with time delays

Cited by 2 publications

References 21 publications

Controllability and observability of tempered fractional differential systems

Controllability and observability of tempered fractional differential systems

Fractional tempered differential equations depending on arbitrary kernels

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