Research Article

Asymptotic stability in Caputo-Hadamard fractional dynamic equations

Volume: 4 Number: 2 June 30, 2021
EN

Asymptotic stability in Caputo-Hadamard fractional dynamic equations

Abstract

In this work, we investigate the asymptotic stability of the zero solution for Caputo-Hadamard fractional dynamic equations on a time scale. We will make use of the Krasnoselskii fixed point theorem in a weighted Banach space to show new stability results.

Keywords

References

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  6. [6] A. Ardjouni, A Djoudi, Existence of periodic solutions for nonlinear neutral dynamic equations with functional delay on a time scale, Acta Univ. Palacki. Olomnc., Fac. rer. nat., Mathematica 52, 1 (2013) 5-19.
  7. [7] A. Ardjouni, A Djoudi, Stability in neutral nonlinear dynamic equations on time scale with unbounded delay, Stud. Univ. Babeç-Bolyai Math. 57(2012), No. 4, 481-496.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

June 30, 2021

Submission Date

January 21, 2021

Acceptance Date

May 6, 2021

Published in Issue

Year 2021 Volume: 4 Number: 2

APA
Ardjouni, A. (2021). Asymptotic stability in Caputo-Hadamard fractional dynamic equations. Results in Nonlinear Analysis, 4(2), 77-86. https://doi.org/10.53006/rna.865900
AMA
1.Ardjouni A. Asymptotic stability in Caputo-Hadamard fractional dynamic equations. RNA. 2021;4(2):77-86. doi:10.53006/rna.865900
Chicago
Ardjouni, Abdelouaheb. 2021. “Asymptotic Stability in Caputo-Hadamard Fractional Dynamic Equations”. Results in Nonlinear Analysis 4 (2): 77-86. https://doi.org/10.53006/rna.865900.
EndNote
Ardjouni A (June 1, 2021) Asymptotic stability in Caputo-Hadamard fractional dynamic equations. Results in Nonlinear Analysis 4 2 77–86.
IEEE
[1]A. Ardjouni, “Asymptotic stability in Caputo-Hadamard fractional dynamic equations”, RNA, vol. 4, no. 2, pp. 77–86, June 2021, doi: 10.53006/rna.865900.
ISNAD
Ardjouni, Abdelouaheb. “Asymptotic Stability in Caputo-Hadamard Fractional Dynamic Equations”. Results in Nonlinear Analysis 4/2 (June 1, 2021): 77-86. https://doi.org/10.53006/rna.865900.
JAMA
1.Ardjouni A. Asymptotic stability in Caputo-Hadamard fractional dynamic equations. RNA. 2021;4:77–86.
MLA
Ardjouni, Abdelouaheb. “Asymptotic Stability in Caputo-Hadamard Fractional Dynamic Equations”. Results in Nonlinear Analysis, vol. 4, no. 2, June 2021, pp. 77-86, doi:10.53006/rna.865900.
Vancouver
1.Abdelouaheb Ardjouni. Asymptotic stability in Caputo-Hadamard fractional dynamic equations. RNA. 2021 Jun. 1;4(2):77-86. doi:10.53006/rna.865900

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