Araştırma Makalesi

Fixed point approach to Basset problem

Cilt: 5 Sayı: 3 1 Temmuz 2017
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Fixed point approach to Basset problem

Abstract

In the present paper, a sufficient condition for existence and uniqueness of Basset problem is obtained. The theorem on existence and uniqueness is established. This approach permits us to use fixed point iteration method to solve problem for differential equation involving derivatives of nonlinear order.

Keywords

Kaynakça

  1. Podlubny I: Mathematics in Science and Engineering 198. In Fractional Differential Equations. Academic Press, San Diego; 1999.
  2. Samko SG, Kilbas AA, Marichev OI: Fractional Integrals and Derivatives. Gordon & Breach, Yverdon; 1993.
  3. Basset AB: On the descent of a sphere in a viscous liquid. Q. J. Math. 1910, 42: 369-381.
  4. Ashyralyev A: Well-posedness of the Basset problem in spaces of smooth functions. Appl. Math. Lett. 2011, 24: 1176-1180. 10.1016/j.aml.2011.02.002
  5. Ashyralyev A, Well-posedness of fractional parabolic equations, Boundary Value Problems, 2013: 2013:31, 1-18.
  6. Baleanu D, Garra, R, Petras, I: A Fractional Variational Approach to the Fractional Basset-Type Equation, Reports on Mathematical Physics, 72 (1) 57-64, 2013.
  7. Petras I: Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation, Springer, New York (2011)
  8. Cakir Z: Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions. Abstr. Appl. Anal. 2012., 2012: Article ID 463746

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Lale Cona *
Türkiye

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

31 Ocak 2017

Kabul Tarihi

7 Şubat 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Cona, L. (2017). Fixed point approach to Basset problem. New Trends in Mathematical Sciences, 5(3), 175-181. https://izlik.org/JA52JE75UN
AMA
1.Cona L. Fixed point approach to Basset problem. New Trends in Mathematical Sciences. 2017;5(3):175-181. https://izlik.org/JA52JE75UN
Chicago
Cona, Lale. 2017. “Fixed point approach to Basset problem”. New Trends in Mathematical Sciences 5 (3): 175-81. https://izlik.org/JA52JE75UN.
EndNote
Cona L (01 Temmuz 2017) Fixed point approach to Basset problem. New Trends in Mathematical Sciences 5 3 175–181.
IEEE
[1]L. Cona, “Fixed point approach to Basset problem”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 175–181, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA52JE75UN
ISNAD
Cona, Lale. “Fixed point approach to Basset problem”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 175-181. https://izlik.org/JA52JE75UN.
JAMA
1.Cona L. Fixed point approach to Basset problem. New Trends in Mathematical Sciences. 2017;5:175–181.
MLA
Cona, Lale. “Fixed point approach to Basset problem”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 175-81, https://izlik.org/JA52JE75UN.
Vancouver
1.Lale Cona. Fixed point approach to Basset problem. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):175-81. Erişim adresi: https://izlik.org/JA52JE75UN