Araştırma Makalesi

Non-homogenous KdV and coupled sub-ballistic fractional PDEs

Cilt: 5 Sayı: 3 1 Temmuz 2017
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Non-homogenous KdV and coupled sub-ballistic fractional PDEs

Abstract

In this article, the author solved certain system of time fractional equations using integral transforms. Transform method is a powerful tool for solving singular integral equations, evaluation of certain integrals and solution to partial fractional differential equations. The result reveals that the transform method is very convenient and effective.

Keywords

Kaynakça

  1. A. Aghili, H. Zeinali. Advances in Laplace type integral transforms with applications. Indian Journal of Science and Technology, Vol 7(6), 877–890, June 2014.
  2. A. Aghili, H. Zeinali. Solution to time fractional wave equation in the presence of friction via integral transform. Communications on applied nonlinear analysis, Vol.21, No.2, pp.67-88, 2014.
  3. A. Aghili; M. R. Masomi. Integral transform method for solving different F.S.I.Es and P.F.D.Es. Konuralp Journal of Mathematics, Volume 2, No. 1 pp. 45-62, 2014.
  4. T.M. Atanackovic , B.Stankovic. Dynamics of a visco -elastic rod of Fractional derivative type, Z. Angew. Math. Mech., 82(6), (2002) 377-386.
  5. T. M. Atanackovic , B.Stankovic. On a system of differential equations with fractional derivatives arising in rod theory. Journal of Physics A: Mathematical and General, 37, No 4, 1241-1250 (2004).
  6. D. G. Duffy. Transform methods for solving partial differential equations. Chapman and Hall/CRC, 2004.
  7. R. S. Dahiya . M . Vinayagamoorthy.Laplace transfom pairs of n-dimensions and heat conduction problem. Math. Comput. Modelling vol. 13.No. 10 , pp,35-50.
  8. V.A. Ditkin. A.P.Prudnikov. Operational calculus In two variables and its application ,Pergamon Press, New York,1962.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

7 Kasım 2016

Kabul Tarihi

10 Mart 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Aghili, A. (2017). Non-homogenous KdV and coupled sub-ballistic fractional PDEs. New Trends in Mathematical Sciences, 5(3), 107-117. https://izlik.org/JA86UB54AJ
AMA
1.Aghili A. Non-homogenous KdV and coupled sub-ballistic fractional PDEs. New Trends in Mathematical Sciences. 2017;5(3):107-117. https://izlik.org/JA86UB54AJ
Chicago
Aghili, Arman. 2017. “Non-homogenous KdV and coupled sub-ballistic fractional PDEs”. New Trends in Mathematical Sciences 5 (3): 107-17. https://izlik.org/JA86UB54AJ.
EndNote
Aghili A (01 Temmuz 2017) Non-homogenous KdV and coupled sub-ballistic fractional PDEs. New Trends in Mathematical Sciences 5 3 107–117.
IEEE
[1]A. Aghili, “Non-homogenous KdV and coupled sub-ballistic fractional PDEs”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 107–117, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA86UB54AJ
ISNAD
Aghili, Arman. “Non-homogenous KdV and coupled sub-ballistic fractional PDEs”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 107-117. https://izlik.org/JA86UB54AJ.
JAMA
1.Aghili A. Non-homogenous KdV and coupled sub-ballistic fractional PDEs. New Trends in Mathematical Sciences. 2017;5:107–117.
MLA
Aghili, Arman. “Non-homogenous KdV and coupled sub-ballistic fractional PDEs”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 107-1, https://izlik.org/JA86UB54AJ.
Vancouver
1.Arman Aghili. Non-homogenous KdV and coupled sub-ballistic fractional PDEs. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):107-1. Erişim adresi: https://izlik.org/JA86UB54AJ