Araştırma Makalesi

Novel Lyapunov-type inequality for fractional boundary value problem

Cilt: 2 Sayı: 2 24 Şubat 2020
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Novel Lyapunov-type inequality for fractional boundary value problem

Öz

In this paper, we establish a new Lyapunov-type inequality for a differential equation involving Caputo fractional derivatives subject to non-local boundary conditions. As an application to the corresponding eigenvalue problem is also discussed.

Anahtar Kelimeler

Kaynakça

  1. Abdeljawad, T., Alzabut, J. & Jarad, F. A generalized Lyapunov-type inequality in the frame of conformable derivatives. Adv Differ Equ 2017, 321 (2017)
  2. R. A. C. Ferreira, Novel Lyapunov-type inequalities for sequential fractional boundary value problems, RACSAM Rev. R. Acad. A, 113 (2019), 171--179.
  3. A. Guezane-Lakoud, R. Khaldi and D. F.M. Torres, Lyapunov-type inequality for a fractional boundary value problem with natural conditions, SeMA (2018) 75:157--162
  4. R. Khaldi and A Guezane-Lakoud, On a generalized Lyapunov inequality for a mixed fractional boundary value problem, AIMS Mathematics, 4(3): 506--515.
  5. R. Khaldi and A Guezane-Lakoud, Lyapunov inequality for a boundary value problem involving conformable derivative, Prog. Frac. Diff. Appl. 3 (2017), No. 4, 323-329.
  6. A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and applications of fractional differential equations, North-Holland Mathematics Studies, Elsevier Science, Amsterdam, The Netherlands, 2006.
  7. A. M. Lyapunov, Problème général de la stabilité du mouvement, (French Translation of a Russian paper dated 1893), Ann. Fac. Sci. Univ. Toulouse 2 (1907), 27--247, Reprinted as Ann. Math. Studies, No, 17, Princeton, 1947.
  8. Ntouyas S.K., Ahmad B., Horikis T.P. (2019) Recent Developments of Lyapunov--Type Inequalities for Fractional Differential Equations. In: Andrica D., Rassias T. (eds) Differential and Integral Inequalities. Springer Optimization and Its Applications, vol 151. Springer, Cham

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

24 Şubat 2020

Gönderilme Tarihi

16 Aralık 2019

Kabul Tarihi

20 Şubat 2020

Yayımlandığı Sayı

Yıl 2019 Cilt: 2 Sayı: 2

Kaynak Göster

APA
Khaldi, R. (2020). Novel Lyapunov-type inequality for fractional boundary value problem. Journal of Multidisciplinary Modeling and Optimization, 2(2), 65-70. https://izlik.org/JA92EH29AS
AMA
1.Khaldi R. Novel Lyapunov-type inequality for fractional boundary value problem. jmmo. 2020;2(2):65-70. https://izlik.org/JA92EH29AS
Chicago
Khaldi, Rabah. 2020. “Novel Lyapunov-type inequality for fractional boundary value problem”. Journal of Multidisciplinary Modeling and Optimization 2 (2): 65-70. https://izlik.org/JA92EH29AS.
EndNote
Khaldi R (01 Şubat 2020) Novel Lyapunov-type inequality for fractional boundary value problem. Journal of Multidisciplinary Modeling and Optimization 2 2 65–70.
IEEE
[1]R. Khaldi, “Novel Lyapunov-type inequality for fractional boundary value problem”, jmmo, c. 2, sy 2, ss. 65–70, Şub. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA92EH29AS
ISNAD
Khaldi, Rabah. “Novel Lyapunov-type inequality for fractional boundary value problem”. Journal of Multidisciplinary Modeling and Optimization 2/2 (01 Şubat 2020): 65-70. https://izlik.org/JA92EH29AS.
JAMA
1.Khaldi R. Novel Lyapunov-type inequality for fractional boundary value problem. jmmo. 2020;2:65–70.
MLA
Khaldi, Rabah. “Novel Lyapunov-type inequality for fractional boundary value problem”. Journal of Multidisciplinary Modeling and Optimization, c. 2, sy 2, Şubat 2020, ss. 65-70, https://izlik.org/JA92EH29AS.
Vancouver
1.Rabah Khaldi. Novel Lyapunov-type inequality for fractional boundary value problem. jmmo [Internet]. 01 Şubat 2020;2(2):65-70. Erişim adresi: https://izlik.org/JA92EH29AS