Araştırma Makalesi
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CONTROLLED FUZZY EVOLUTION EQUATIONS

Yıl 2018, Cilt: 1 Sayı: 2, 155 - 165, 31.07.2018

Said Melliani , Abdelati El Allaoui Lalla Saadia Chadli

https://izlik.org/JA56BW56NZ

Öz

This paper is concerned with controlled fuzzy nonlinear evolution equations of the form u'(t) = Au(t) + f(t, u(t), u(rho((t)) + B(t)c(t); t in [t_0; t_1] and u(t_0) = u_0. Where c(t) is a fuzzy control, the operator A generate a fuzzy semigroup. We use the fuzzy strongly continuous semigroups theory to prove the existence, uniqueness and some properties of mild solutions.

Anahtar Kelimeler

Fuzzy sets evolution equation

Kaynakça

  • R. J. Aumann, Integrals of set-valued functions, J. Math. Anal. Appl., (1965), 1-12.
  • A. El Allaoui, S. Melliani and L. S. Chadli, Fuzzy dynamical systems and Invariant attractor sets for fuzzy strongly continuous semigroups, Journal of Fuzzy Set Valued Analysis 2016 No.2 (2016) 148-155.
  • A. El Allaoui, S. Melliani, L. S. Chadli, Fuzzy alpha-semigroups of operators, General Letters in Mathematics Vol 2 (2) (2017) 42-49.
  • Bhaskar Dubey, Raju K. George, Controllability of Linear Time-invariant Dynamical Systems with Fuzzy Initial Condition, Proceedings of the World Congress on Engineering and Computer Science (2013), 23-25.
  • Bhaskar Dubey and Raju K. George, Estimation of controllable initial fuzzy states of linear time-invariant dynamical systems, Communications in Computer and Information Science, Springer, (2012), 316-324.
  • Y. Feng, L. Hua, On the quasi-controllability of continuous-time dynamic fuzzy control systems, Chaos, Solitons & Fractals (2006), 177-188.
  • C. G. Gal and S. G. Gal, Semigroups of Operators on Spaces of Fuzzy-Number-Valued Functions with Applications to Fuzzy Differential Equations, arXiv:1306.3928v1 (2013).
  • M. Hukuhara, Integration des applications measurables dont la valeur est un compact convexe, Funk. Ekvacioj (1967), 207-223.
  • O. Kaleva, Fuzzy Differentiel Equations, Fuzzy Sets and Systems. (1987), 24: 301{317.
  • Said Melliani, El Hassan Eljaoui and Lalla Saadia Chadli, Fuzzy Differential Equation With Nonlocal Conditions And Fuzzy semigroups, Advances in Difference Equations (2016).
  • S. Melliani, L. S. Chadli, A. El Allaoui, Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces. International Journal of Nonlinear Analy-sis and Applications, 8(1) (2017), 301-314.
  • S. Melliani, A. El Allaoui and L. S. Chadli, A general classof periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces, Advances in Difference Equations (2016): 290.
  • S. Melliani, A. El Allaoui and L. S. Chadli , Relation Between Fuzzy Semigroups and Fuzzy Dynamical Systems, Nonlinear Dynamics and Systems Theory, 17 (1) (2017) 60-69.
  • M. L. Puri, D. A. Ralescu. Fuzzy random variables, J. Math. Anal. Appl. (1986), 114: 409-422.

Yıl 2018, Cilt: 1 Sayı: 2, 155 - 165, 31.07.2018

Said Melliani , Abdelati El Allaoui Lalla Saadia Chadli

https://izlik.org/JA56BW56NZ

Öz

Kaynakça

  • R. J. Aumann, Integrals of set-valued functions, J. Math. Anal. Appl., (1965), 1-12.
  • A. El Allaoui, S. Melliani and L. S. Chadli, Fuzzy dynamical systems and Invariant attractor sets for fuzzy strongly continuous semigroups, Journal of Fuzzy Set Valued Analysis 2016 No.2 (2016) 148-155.
  • A. El Allaoui, S. Melliani, L. S. Chadli, Fuzzy alpha-semigroups of operators, General Letters in Mathematics Vol 2 (2) (2017) 42-49.
  • Bhaskar Dubey, Raju K. George, Controllability of Linear Time-invariant Dynamical Systems with Fuzzy Initial Condition, Proceedings of the World Congress on Engineering and Computer Science (2013), 23-25.
  • Bhaskar Dubey and Raju K. George, Estimation of controllable initial fuzzy states of linear time-invariant dynamical systems, Communications in Computer and Information Science, Springer, (2012), 316-324.
  • Y. Feng, L. Hua, On the quasi-controllability of continuous-time dynamic fuzzy control systems, Chaos, Solitons & Fractals (2006), 177-188.
  • C. G. Gal and S. G. Gal, Semigroups of Operators on Spaces of Fuzzy-Number-Valued Functions with Applications to Fuzzy Differential Equations, arXiv:1306.3928v1 (2013).
  • M. Hukuhara, Integration des applications measurables dont la valeur est un compact convexe, Funk. Ekvacioj (1967), 207-223.
  • O. Kaleva, Fuzzy Differentiel Equations, Fuzzy Sets and Systems. (1987), 24: 301{317.
  • Said Melliani, El Hassan Eljaoui and Lalla Saadia Chadli, Fuzzy Differential Equation With Nonlocal Conditions And Fuzzy semigroups, Advances in Difference Equations (2016).
  • S. Melliani, L. S. Chadli, A. El Allaoui, Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces. International Journal of Nonlinear Analy-sis and Applications, 8(1) (2017), 301-314.
  • S. Melliani, A. El Allaoui and L. S. Chadli, A general classof periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces, Advances in Difference Equations (2016): 290.
  • S. Melliani, A. El Allaoui and L. S. Chadli , Relation Between Fuzzy Semigroups and Fuzzy Dynamical Systems, Nonlinear Dynamics and Systems Theory, 17 (1) (2017) 60-69.
  • M. L. Puri, D. A. Ralescu. Fuzzy random variables, J. Math. Anal. Appl. (1986), 114: 409-422.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Said Melliani 0000-0002-5150-1185

Abdelati El Allaoui Bu kişi benim

Lalla Saadia Chadli

Gönderilme Tarihi 15 Mayıs 2018
Kabul Tarihi 5 Ağustos 2018
Yayımlanma Tarihi 31 Temmuz 2018
IZ https://izlik.org/JA56BW56NZ
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 2

Kaynak Göster

APA Melliani, S., El Allaoui, A., & Chadli, L. S. (2018). CONTROLLED FUZZY EVOLUTION EQUATIONS. Journal of Universal Mathematics, 1(2), 155-165. https://izlik.org/JA56BW56NZ
AMA 1.Melliani S, El Allaoui A, Chadli LS. CONTROLLED FUZZY EVOLUTION EQUATIONS. JUM. 2018;1(2):155-165. https://izlik.org/JA56BW56NZ
Chicago Melliani, Said, Abdelati El Allaoui, ve Lalla Saadia Chadli. 2018. “CONTROLLED FUZZY EVOLUTION EQUATIONS”. Journal of Universal Mathematics 1 (2): 155-65. https://izlik.org/JA56BW56NZ.
EndNote Melliani S, El Allaoui A, Chadli LS (01 Temmuz 2018) CONTROLLED FUZZY EVOLUTION EQUATIONS. Journal of Universal Mathematics 1 2 155–165.
IEEE [1]S. Melliani, A. El Allaoui, ve L. S. Chadli, “CONTROLLED FUZZY EVOLUTION EQUATIONS”, JUM, c. 1, sy 2, ss. 155–165, Tem. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA56BW56NZ
ISNAD Melliani, Said - El Allaoui, Abdelati - Chadli, Lalla Saadia. “CONTROLLED FUZZY EVOLUTION EQUATIONS”. Journal of Universal Mathematics 1/2 (01 Temmuz 2018): 155-165. https://izlik.org/JA56BW56NZ.
JAMA 1.Melliani S, El Allaoui A, Chadli LS. CONTROLLED FUZZY EVOLUTION EQUATIONS. JUM. 2018;1:155–165.
MLA Melliani, Said, vd. “CONTROLLED FUZZY EVOLUTION EQUATIONS”. Journal of Universal Mathematics, c. 1, sy 2, Temmuz 2018, ss. 155-6, https://izlik.org/JA56BW56NZ.
Vancouver 1.Melliani S, El Allaoui A, Chadli LS. CONTROLLED FUZZY EVOLUTION EQUATIONS. JUM [Internet]. 01 Temmuz 2018;1(2):155-6. Erişim adresi: https://izlik.org/JA56BW56NZ