Araştırma Makalesi

Coupled systems of subdifferential type with integral perturbation and fractional differential equations

Cilt: 7 Sayı: 1 31 Mart 2023
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Coupled systems of subdifferential type with integral perturbation and fractional differential equations

Öz

This paper is mainly devoted to study a class of first-order differential inclusions governed by time-dependent subdifferential operators involving an integral perturbation. Employing then the constructive method used there, we also handle the associated second-order differential inclusion. Our final topic, accomplished in infinite-dimensional Hilbert spaces, is to develop some variants related to coupled systems by such differential inclusions and fractional differential equations.

Anahtar Kelimeler

Kaynakça

  1. [1] S. Adly, H. Attouch, Finite convergence of proximal-gradient inertial algorithms combining dry friction with Hessian-driven damping, SIAM J. Optim. 30(3) (2020) 2134-2162.
  2. [2] S. Adly, H. Attouch, A. Cabot, Finite time stabililization of nonlinear oscillators subject to dry friction, Nonsmooth Mechanics and Analysis 12 (2006) pp 289-304, Advances in Mechanics and Mathematics.
  3. [3] R.P. Agarwal, B. Ahmad, A. Alsaedi, N. Shahzad, Dimension of the solution set for fractional differential inclusion, J. Nonlinear Convex Anal. 14(2) (2013) 314-323.
  4. [4] R.P. Agarwal, S. Arshad, D. O'Regan, V. Lupulescu, Fuzzy fractional integral equations under compactness type condition, Fract. Calc. Appl. Anal. 15(4) (2012) 572-590.
  5. [5] B. Ahmad, J. Nieto, Riemann-Liouville fractional differential equations with fractional boundary conditions, Fixed Point Theory 13(2) (2012) 329-336.
  6. [6] H. Attouch, D. Damlamian, Problèmes d'évolution dans les Hilberts et applications, J. Math. Pures Appl. 54 (1975) 53-74.
  7. [7] H. Attouch, P.E. Maingé, P. Redont, A second-order differential system with hessian driven damping; application to non-elastic shock laws, Di?er. Equ. Appl. 4 (1) (2012) 27-65.
  8. [8] M. Benchohra, J. Graef, F.Z. Mostefai, Weak solutions for boundary-value problems with nonlinear fractional differential inclusions, Nonlinear Dyn. Syst. Theory 11(3) (2011) 227-237.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Mart 2023

Gönderilme Tarihi

27 Temmuz 2022

Kabul Tarihi

23 Ocak 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 7 Sayı: 1

Kaynak Göster

APA
Bouabsa, A., & Saıdı, S. (2023). Coupled systems of subdifferential type with integral perturbation and fractional differential equations. Advances in the Theory of Nonlinear Analysis and its Application, 7(1), 253-271. https://doi.org/10.31197/atnaa.1149751
AMA
1.Bouabsa A, Saıdı S. Coupled systems of subdifferential type with integral perturbation and fractional differential equations. ATNAA. 2023;7(1):253-271. doi:10.31197/atnaa.1149751
Chicago
Bouabsa, Aya, ve Soumia Saıdı. 2023. “Coupled systems of subdifferential type with integral perturbation and fractional differential equations”. Advances in the Theory of Nonlinear Analysis and its Application 7 (1): 253-71. https://doi.org/10.31197/atnaa.1149751.
EndNote
Bouabsa A, Saıdı S (01 Mart 2023) Coupled systems of subdifferential type with integral perturbation and fractional differential equations. Advances in the Theory of Nonlinear Analysis and its Application 7 1 253–271.
IEEE
[1]A. Bouabsa ve S. Saıdı, “Coupled systems of subdifferential type with integral perturbation and fractional differential equations”, ATNAA, c. 7, sy 1, ss. 253–271, Mar. 2023, doi: 10.31197/atnaa.1149751.
ISNAD
Bouabsa, Aya - Saıdı, Soumia. “Coupled systems of subdifferential type with integral perturbation and fractional differential equations”. Advances in the Theory of Nonlinear Analysis and its Application 7/1 (01 Mart 2023): 253-271. https://doi.org/10.31197/atnaa.1149751.
JAMA
1.Bouabsa A, Saıdı S. Coupled systems of subdifferential type with integral perturbation and fractional differential equations. ATNAA. 2023;7:253–271.
MLA
Bouabsa, Aya, ve Soumia Saıdı. “Coupled systems of subdifferential type with integral perturbation and fractional differential equations”. Advances in the Theory of Nonlinear Analysis and its Application, c. 7, sy 1, Mart 2023, ss. 253-71, doi:10.31197/atnaa.1149751.
Vancouver
1.Aya Bouabsa, Soumia Saıdı. Coupled systems of subdifferential type with integral perturbation and fractional differential equations. ATNAA. 01 Mart 2023;7(1):253-71. doi:10.31197/atnaa.1149751