Araştırma Makalesi

Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations

Cilt: 2 Sayı: 3 30 Eylül 2018
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Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations

Öz

In this paper, we investigate the existence of  solutions of a boundary value problem for Caputo-Hadamard  fractional differential equations.
Our analysis relies on   classical fixed point theorems.  Examples are given to illustrate our theoretical results.

Anahtar Kelimeler

Kaynakça

  1. [1] R. P Agarwal, M. Benchohra and S. Hamani, A survey on existence results for boundary value problems for nonlinear fractional differential equations and inclusions, Acta Applicandae Math. 109, No. 3 (2010), 973-1033.
  2. [2] R. P. Agarwal, M. Meehan and D. O’Regan, Fixed point theory and applications, Cambridge Tracts in Mathematics 141 Cambridge University Press, Cambridge, UK, (2001).
  3. [3] M. Benchohra, J. R. Graef and S. Hamani, Existence results for boundary value problems of nonlinear fractional differential equations with integral conditions, Appl. Anal. 87, No. 7 (2008), 851-863.
  4. [4] M. Benchohra and S. Hamani, Boundary value problems for differential equations with fractional order and nonlocal conditions, Nonlinear Anal. 71 (2009), 2391-2396.
  5. [5] M. Benchohra, S. Hamani and S. K. Ntouyas, Boundary value problems for differential equations with fractional order, Surv. Math. Appl. 3 (2008), 1-12.
  6. [6] W. Benhamida, J. R. Graef, and S. Hamani, Boundary value problems for fractional differential equations with integral and anti-periodic conditions in a Banach space, Prog. Frac. Differ. Appl. 4, No. 2 (2018), 1-7.
  7. [7] W. Benhamida, J. R. Graef and S. Hamani, Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions, (to appear).
  8. [8] W. Benhamida, S. Hamani, and J. Henderson, A boundary value problem for fractional differential equations with Hadamard derivative and nonlocal conditions, PanAmerican Math. J. 26 (2016), 1-11.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Wafaa Benhamida Bu kişi benim

Johnny Henderson Bu kişi benim

Yayımlanma Tarihi

30 Eylül 2018

Gönderilme Tarihi

29 Nisan 2018

Kabul Tarihi

14 Ağustos 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 2 Sayı: 3

Kaynak Göster

APA
Hamani, S., Benhamida, W., & Henderson, J. (2018). Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations. Advances in the Theory of Nonlinear Analysis and its Application, 2(3), 138-145. https://doi.org/10.31197/atnaa.419517
AMA
1.Hamani S, Benhamida W, Henderson J. Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations. ATNAA. 2018;2(3):138-145. doi:10.31197/atnaa.419517
Chicago
Hamani, Samira, Wafaa Benhamida, ve Johnny Henderson. 2018. “Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations”. Advances in the Theory of Nonlinear Analysis and its Application 2 (3): 138-45. https://doi.org/10.31197/atnaa.419517.
EndNote
Hamani S, Benhamida W, Henderson J (01 Eylül 2018) Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations. Advances in the Theory of Nonlinear Analysis and its Application 2 3 138–145.
IEEE
[1]S. Hamani, W. Benhamida, ve J. Henderson, “Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations”, ATNAA, c. 2, sy 3, ss. 138–145, Eyl. 2018, doi: 10.31197/atnaa.419517.
ISNAD
Hamani, Samira - Benhamida, Wafaa - Henderson, Johnny. “Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations”. Advances in the Theory of Nonlinear Analysis and its Application 2/3 (01 Eylül 2018): 138-145. https://doi.org/10.31197/atnaa.419517.
JAMA
1.Hamani S, Benhamida W, Henderson J. Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations. ATNAA. 2018;2:138–145.
MLA
Hamani, Samira, vd. “Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations”. Advances in the Theory of Nonlinear Analysis and its Application, c. 2, sy 3, Eylül 2018, ss. 138-45, doi:10.31197/atnaa.419517.
Vancouver
1.Samira Hamani, Wafaa Benhamida, Johnny Henderson. Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations. ATNAA. 01 Eylül 2018;2(3):138-45. doi:10.31197/atnaa.419517

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