Araştırma Makalesi

Asymptotic stability in Caputo-Hadamard fractional dynamic equations

Cilt: 4 Sayı: 2 30 Haziran 2021
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EN

Asymptotic stability in Caputo-Hadamard fractional dynamic equations

Öz

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.

Anahtar Kelimeler

Kaynakça

  1. [1] M. Adivar, Y. N. Raffoul, Existence of periodic solutions in totally nonlinear delay dynamic equations, Electronic Journal of Qualitative Theory of Differential Equations 2009(1) (2009), 1--20.
  2. [2] A. Ahmadkhanlu and M. Jahanshahi, On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales, Bull. Iranian Math. Soc. 38 (2012), no. 1, 241-252.
  3. [3] R. P. Agarwal, M. Bohner, A. Peterson and D. O'Regan, Advances in Dynamic Equations on Time Scales, Birkhaurser, Boston, 2003.
  4. [4] R. P. Agarwal, Y. Zhou, Y. He, Existence of fractional functional differential equations, Computers and Mathematics with Applications 59 (2010) 1095-1100.
  5. [5] A. Ardjouni, I. Derrardjia and A. Djoudi, Stability in totally nonlinear neutral differential equations with variable delay, Acta Math. Univ. Comenianae, Vol. LXXXIII, 1 (2014), pp. 119-134.
  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.
  8. [8] A. Ardjouni, A Djoudi, Fixed points and stability in linear neutral differential equations with variable delays, Nonlinear Analysis 74 (2011), 2062-2070.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Haziran 2021

Gönderilme Tarihi

21 Ocak 2021

Kabul Tarihi

6 Mayıs 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 4 Sayı: 2

Kaynak Göster

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 (01 Haziran 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, c. 4, sy 2, ss. 77–86, Haz. 2021, doi: 10.53006/rna.865900.
ISNAD
Ardjouni, Abdelouaheb. “Asymptotic stability in Caputo-Hadamard fractional dynamic equations”. Results in Nonlinear Analysis 4/2 (01 Haziran 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, c. 4, sy 2, Haziran 2021, ss. 77-86, doi:10.53006/rna.865900.
Vancouver
1.Abdelouaheb Ardjouni. Asymptotic stability in Caputo-Hadamard fractional dynamic equations. RNA. 01 Haziran 2021;4(2):77-86. doi:10.53006/rna.865900

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