EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD

Cilt: 8 Sayı: 1 1 Şubat 2013
  • Hasan Bulut
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EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD

Öz

In this study the Kudryashov method have been implemented for the exact solutions of the fractional RLW Burgers equation and the fractional Clannish Random Walker's Parabolic (CRWP) Equation. Some new solutions of the fractional RLW Burgers equation and the fractional CRWP equation have been obtained by using this method.

Anahtar Kelimeler

Kaynakça

  1. Miller, K.S. and Ross, B., (1993). An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York.
  2. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J., (2006). Theory and Applications of Fractional Differential Equations, Elsevier, San Diego.
  3. Podlubny, I., (1999). Fractional Differential Equations, Academic Press, San Diego.
  4. Jumarie, G., (2006). Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results, Comput. Math. Appl. 51(9-10), 1367–1376.
  5. Jumarie, G., (2007). Fractional Hamilton-Jacobi equation for the optimal control of nonrandom fractional dynamics with fractional cost function, J. Appl. Math. Comput. 23(1-2), 215–228.
  6. Jumarie, G., (2009). Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions, Appl. Math. Lett. 22(3), 378– 385.
  7. Lu, B., (2012). The first integral method for some time fractional differential equations, J. Math. Anal. Appl. 395, 684–693.
  8. Song, L.N. and Zhang, H.Q., (2009). Solving the fractional BBM- Burgers equation using the homotopy analysis method, Chaos Solitons Fractals 40,1616–1622.

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Hasan Bulut Bu kişi benim

Yayımlanma Tarihi

1 Şubat 2013

Gönderilme Tarihi

8 Ağustos 2014

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2013 Cilt: 8 Sayı: 1

Kaynak Göster

APA
Bulut, H. (2013). EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD. Physical Sciences, 8(1), 24-63. https://doi.org/10.12739/10.12739
AMA
1.Bulut H. EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD. Physical Sciences. 2013;8(1):24-63. doi:10.12739/10.12739
Chicago
Bulut, Hasan. 2013. “EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD”. Physical Sciences 8 (1): 24-63. https://doi.org/10.12739/10.12739.
EndNote
Bulut H (01 Şubat 2013) EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD. Physical Sciences 8 1 24–63.
IEEE
[1]H. Bulut, “EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD”, Physical Sciences, c. 8, sy 1, ss. 24–63, Şub. 2013, doi: 10.12739/10.12739.
ISNAD
Bulut, Hasan. “EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD”. Physical Sciences 8/1 (01 Şubat 2013): 24-63. https://doi.org/10.12739/10.12739.
JAMA
1.Bulut H. EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD. Physical Sciences. 2013;8:24–63.
MLA
Bulut, Hasan. “EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD”. Physical Sciences, c. 8, sy 1, Şubat 2013, ss. 24-63, doi:10.12739/10.12739.
Vancouver
1.Hasan Bulut. EXACT SOLUTIONS FOR SOME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA KUDRYASHOV METHOD. Physical Sciences. 01 Şubat 2013;8(1):24-63. doi:10.12739/10.12739