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Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Article

Some Applications of Banach Fixed Point and Leray Schauder Theorems for Fractional Boundary Value Problems

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pp. 59–73Vol. 11Issue 1-2November 2013DOI: 10.1080/1726037X.2013.838448XML
Received:
08 Feb 2013
Accepted:
20 Jul 2013
Published Online:
04 Dec 2013
Article type:
Article
Language:
EN
Article no.:
1726037X.2013.838448
Pages:
59–73

Abstract

In this paper, we study a boundary value problem of nonlinear fractional differential equations of order α, 3 < α

Keywords

Subject Classifications

: 26A3334A0834B15

References

  1. A.Granas, J.Dugundji, Fixed Point Theory, Springer Monographs in Mathematics , Springer , New York, NY, USA , 2003
  2. R.Gorenflo, F.Mainardi, Fractional calculus, integral and differential equations of fractional order , Springer Verlag , Wien, 223 – 276 , ( 1997 ).
  3. A. A.Kilbas, Hari M.Srivastava, and Juan J.Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204 . Elsevier Science B.V. , Amsterdam , ( 2006 ).
  4. V.Lakshmikantham, A.S.Vatsala, Basic theory of fractional differential equations , Nonlinear Anal. Theory Methods , 69 , 2677 – 2682 , ( 2008 ).
  5. F.Mainardi, Fractional calculus: Some basic problems in continuum and statistical mechanics , Fractals and Fractional Calculus in Continuum Mechanics . Springer-Verlag , Wien , ( 1997 ).
  6. I.Podlubny, Fractional Differential Equations , Academic Press , San Diego, ( 1999 ).
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