Araştırma Makalesi

Random evolution equations in Frechet spaces

Cilt: 2 Sayı: 3 30 Eylül 2018
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Random evolution equations in Frechet spaces

Öz

This paper deals with the existence of random mild solutions for some classes of first and second order functional evolution equations with random effects in Frechet spaces. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measure of noncompactness

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

Said Abbas Bu kişi benim
Algeria

Amaria Arara Bu kişi benim
Algeria

Fatima Mesri Bu kişi benim
Algeria

Yayımlanma Tarihi

30 Eylül 2018

Gönderilme Tarihi

10 Mayıs 2018

Kabul Tarihi

4 Ağustos 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 2 Sayı: 3

Kaynak Göster

APA
Abbas, S., Arara, A., Benchohra, M., & Mesri, F. (2018). Random evolution equations in Frechet spaces. Advances in the Theory of Nonlinear Analysis and its Application, 2(3), 128-137. https://doi.org/10.31197/atnaa.451341
AMA
1.Abbas S, Arara A, Benchohra M, Mesri F. Random evolution equations in Frechet spaces. ATNAA. 2018;2(3):128-137. doi:10.31197/atnaa.451341
Chicago
Abbas, Said, Amaria Arara, Mouffak Benchohra, ve Fatima Mesri. 2018. “Random evolution equations in Frechet spaces”. Advances in the Theory of Nonlinear Analysis and its Application 2 (3): 128-37. https://doi.org/10.31197/atnaa.451341.
EndNote
Abbas S, Arara A, Benchohra M, Mesri F (01 Eylül 2018) Random evolution equations in Frechet spaces. Advances in the Theory of Nonlinear Analysis and its Application 2 3 128–137.
IEEE
[1]S. Abbas, A. Arara, M. Benchohra, ve F. Mesri, “Random evolution equations in Frechet spaces”, ATNAA, c. 2, sy 3, ss. 128–137, Eyl. 2018, doi: 10.31197/atnaa.451341.
ISNAD
Abbas, Said - Arara, Amaria - Benchohra, Mouffak - Mesri, Fatima. “Random evolution equations in Frechet spaces”. Advances in the Theory of Nonlinear Analysis and its Application 2/3 (01 Eylül 2018): 128-137. https://doi.org/10.31197/atnaa.451341.
JAMA
1.Abbas S, Arara A, Benchohra M, Mesri F. Random evolution equations in Frechet spaces. ATNAA. 2018;2:128–137.
MLA
Abbas, Said, vd. “Random evolution equations in Frechet spaces”. Advances in the Theory of Nonlinear Analysis and its Application, c. 2, sy 3, Eylül 2018, ss. 128-37, doi:10.31197/atnaa.451341.
Vancouver
1.Said Abbas, Amaria Arara, Mouffak Benchohra, Fatima Mesri. Random evolution equations in Frechet spaces. ATNAA. 01 Eylül 2018;2(3):128-37. doi:10.31197/atnaa.451341