Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations
Öz
Our analysis relies on classical fixed point theorems. Examples are given to illustrate our theoretical results.
Anahtar Kelimeler
Kaynakça
- [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] 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] 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] M. Benchohra and S. Hamani, Boundary value problems for differential equations with fractional order and nonlocal conditions, Nonlinear Anal. 71 (2009), 2391-2396.
- [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] 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] 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] 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
Yayımlanma Tarihi
30 Eylül 2018
Gönderilme Tarihi
29 Nisan 2018
Kabul Tarihi
14 Ağustos 2018
Yayımlandığı Sayı
Yıl 2018 Cilt: 2 Sayı: 3
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