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Dergiler / Mathematical and Computational Applications / 2014 / Cilt: 19 - Sayı: 2

On a new solution of fractional differential equation using complex transform in the unit disk

Rabha W. IBRAHIM
Maslina DARUS
Sayfa
152–160
DOI
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Examples are illustrated for problems in biology, economic and physics.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The Möbius transform of fractional differential equation (Riccati type) is employed to construct new exact solutions for some nonlinear fractional differential equations.
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Temel Bulgular & Veri:The fractional operators are taken in sense of the modified Srivastava-Owa fractal in the unit disk.
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Sonuç & Katkı:Examples are illustrated for problems in biology, economic and physics.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The Möbius transform of fractional differential equation (Riccati type) is employed to construct new exact solutions for some nonlinear fractional differential equations. The fractional operators are taken in sense of the modified Srivastava-Owa fractal in the unit disk. Examples are illustrated for problems in biology, economic and physics.

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Bu Makaleye Atıf Yap

IBRAHIM, R. W., DARUS, M. (2014). On a new solution of fractional differential equation using complex transform in the unit disk. Mathematical and Computational Applications, Cilt: 19 - Sayı: 2, 152–160. https://ajindex.com/articles/279811

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Kaynakça (16)

  1. I. Podlubny, Fractional Differential Equations, Acad. Press, London, 1999
  2. B. J. West, M. Bologna, and P. Grigolini, Physics of Fractal Operators, Institute for Nonlinear Science, Springer, New York, NY, USA, 2003
  3. A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, vol. 204 of North-Holland Mathematics Studies, Elsevier Science B.V., Amsterdam, The Netherlands, 2006
  4. J. Sabatier, O. P. Agrawal, and J. A. Machado, Advance in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Springer, Dordrecht, The Netherlands, 2007
  5. V. Lakshmikantham, S. Leela, J. Vasundhara, Theory of Fractional Dynamic Systems. Cambridge Academic Publishers, Cambridge 2009
  6. D. Baleanu, B. Guvenc and J. A. Tenreiro, New Trends in Nanotechnology and Fractional Calculus Applications, Springer, New York, NY, USA, 2010
  7. Z.B. Li, J.H. He, Application of the fractional complex transform to fractional differential equations, Nonlinear Science Letters A 2, 121-126, 2011
  8. R. W. Ibrahim, Fractional complex transforms for fractional differential equations, Advances in Difference Equations 2012, 2012:192 doi:10.1186/1687-1847-2012-192
  9. R. W. Ibrahim, Complex transforms for systems of fractional differential equations, Abstract and Applied Analysis 2012, Article ID 814759, 15 pages
  10. H. M. Srivastava, M. Darus, and R. W. Ibrahim, Classes of analytic functions with fractional powers defined by means of a certain linear operator, Integral Transforms and Special Functions 22,17–28, 2011
  11. S. Sivasubramanian, M. Darus, R. W. Ibrahim, On the starlikeness of certain class of analytic functions, Mathematical and Computer Modelling 54(1-2), 112-118, 2011
  12. H.M. Srivastava, S. Owa, Univalent Functions, Fractional Calculus, and Their Applications, Halsted Press, John Wiley and Sons, New York, Chichester, Brisban, and Toronto, 1989
  13. R.W. Ibrahim and M. Darus, Differential operator generalized by fractional derivative, Miskolc Mathematical Notes 12, 167-184, 2011
  14. R.W. Ibrahim and M. Darus, Subordination and superordination for univalent solutions for fractional differential equations, Journal of Mathematical Analysis and Applications 345, 871-879, 2008
  15. R. W. Ibrahim, M. Darus, Subordination and superordination for analytic functions involving fractional integral operator, Complex Variables and Elliptic Equations 53, 1021-1031, 2008
  16. R. W. Ibrahim, M. Darus,