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On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations

Cilt: 5 Sayı: 2 30 Haziran 2022
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On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations

Abstract

The existence of mild solutions of a totally nonlinear Caputo-Hadamard fractional differential equation is
investigated using the Krasnoselskii-Burton fixed point theorem and some results are presented. Two example
are given to illustrate our obtained results.

Keywords

Kaynakça

  1. [1] M. Adivar, Y.N. Raffoul, Existence of periodic solutions in totally nonlinear delay dynamic equations, Electronic Journal of Qualitative Theory of Di?erential Equations 2009(1) (2009), 1-20.
  2. [2] B. Ahmad, S.K. Ntouyas, Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations, Electronic Journal of Differential Equations 2017(36) (2017), 1-11.
  3. [3] A. Ardjouni, Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations, Proyecciones 40(1) (2021), 139-152.
  4. [4] A. Ardjouni, Asymptotic stability in Caputo-Hadamard fractional dynamic equations, Results in Nonlinear Analysis 4(2) (2021), 77-86.
  5. [5] A. Ardjouni, Positive solutions for nonlinear Hadamard fractional differential equations with integral boundary conditions, AIMS Mathematics 4(4) (2019), 1101-1113.
  6. [6] A. Ardjouni, A. Djoudi, Positive solutions for first-order nonlinear Caputo-Hadamard fractional relaxation differential equations, Kragujevac Journal of Mathematics 45(6) (2021), 897-908.
  7. [7] A. Ardjouni, A. Djoudi, Initial-value problems for nonlinear hybrid implicit Caputo fractional differential equations, Malaya Journal of Matematik 7(2) (2019), 314-317.
  8. [8] A. Ardjouni, A. Djoudi, Approximating solutions of nonlinear hybrid Caputo fractional integro-differential equations via Dhage iteration principle, Ural Mathematical Journal 5(1) 2019, 3-12.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2022

Gönderilme Tarihi

13 Kasım 2021

Kabul Tarihi

19 Nisan 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Ardjouni, A., & Guerfi, A. (2022). On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations. Results in Nonlinear Analysis, 5(2), 161-168. https://doi.org/10.53006/rna.1023029
AMA
1.Ardjouni A, Guerfi A. On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations. RNA. 2022;5(2):161-168. doi:10.53006/rna.1023029
Chicago
Ardjouni, Abdelouaheb, ve Abderrahim Guerfi. 2022. “On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations”. Results in Nonlinear Analysis 5 (2): 161-68. https://doi.org/10.53006/rna.1023029.
EndNote
Ardjouni A, Guerfi A (01 Haziran 2022) On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations. Results in Nonlinear Analysis 5 2 161–168.
IEEE
[1]A. Ardjouni ve A. Guerfi, “On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations”, RNA, c. 5, sy 2, ss. 161–168, Haz. 2022, doi: 10.53006/rna.1023029.
ISNAD
Ardjouni, Abdelouaheb - Guerfi, Abderrahim. “On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations”. Results in Nonlinear Analysis 5/2 (01 Haziran 2022): 161-168. https://doi.org/10.53006/rna.1023029.
JAMA
1.Ardjouni A, Guerfi A. On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations. RNA. 2022;5:161–168.
MLA
Ardjouni, Abdelouaheb, ve Abderrahim Guerfi. “On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations”. Results in Nonlinear Analysis, c. 5, sy 2, Haziran 2022, ss. 161-8, doi:10.53006/rna.1023029.
Vancouver
1.Abdelouaheb Ardjouni, Abderrahim Guerfi. On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations. RNA. 01 Haziran 2022;5(2):161-8. doi:10.53006/rna.1023029

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