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2013 | 33 | 1 | 17-39

Tytuł artykułu

Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions

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Abstrakty

EN
This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.

Twórcy

  • Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

Bibliografia

  • [1] R.P. Agarwal, B. Andrade and C. Cuevas, Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations, Nonlinear Anal. Real World Appl. 11 (2010) 3532-3554. doi: 10.1016/j.nonrwa.2010.01.002
  • [2] B. Ahmad, A. Alsaedi and B. Alghamdi, Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions, Nonlinear Anal. Real World Appl. 9 (2008) 1727-1740. doi: 10.1016/j.nonrwa.2007.05.005
  • [3] B. Ahmad, T. Hayat and S. Asghar, Diffraction of a plane wave by an elastic knife-edge adjacent to a strip, Canad. Appl. Math. Quart. 9 (2001) 303-316.
  • [4] B. Ahmad and S.K. Ntouyas, Existence results for nonlinear fractional differential equations with four-point nonlocal type integral boundary conditions, Afr. Diaspora J. Math. 11 (2011) 29-39.
  • [5] B. Ahmad and S.K. Ntouyas, Some existence results for boundary value problems for fractional differential inclusions with non-separated boundary conditions, Electron. J. Qual. Theory Differ. Equ. 71 (2010) 1-17. doi: 10.1155/2010/279493
  • [6] B. Ahmad and S. Sivasundaram, On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order, Appl. Math. Comput. 217 (2010) 480-487. doi: 10.1016/j.amc.2010.05.080
  • [7] B. Ahmad, Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations, Appl. Math. Lett. 23 (2010) 390-394. doi: 10.1016/j.aml.2009.11.004
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  • [9] B. Ahmad and J.J. Nieto, Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions, Bound. Value Probl. 2009, Art. ID 708576, 11 pp.
  • [10] B. Ahmad and J.J. Nieto, Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions, Comput. Math. Appl. 58 (2009) 1838-1843. doi: 10.1016/j.camwa.2009.07.091
  • [11] B. Ahmad, S.K. Ntouyas and A. Alsaedi, New existence results for nonlinear fractional differential equations with three-point integral boundary conditions, Adv. Differ. Equ., Volume 2011, Article ID 107384, 11 pages.
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Typ dokumentu

Bibliografia

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