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Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments

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Języki publikacji
EN
Abstrakty
EN
In this paper, we investigate the existence and uniqueness of positive solutions to arbitrary order nonlinear fractional differential equations with advanced arguments. By applying some known fixed point theorems, sufficient conditions for the existence and uniqueness of positive solutions are established.
Rocznik
Strony
433--442
Opis fizyczny
Bibliogr. 32 poz.
Twórcy
autor
autor
autor
  • University of Ioannina Department of Mathematics 451 10 Ioannina, Greece, sntouyas@uoi.gr
Bibliografia
  • [1] B. Ahmad, 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.
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  • [7] K. Balachandran, J.Y. Park, M.D. Julie, On local attractivity of solutions of a functional integral equation of fractional order with deviating arguments, Commun. Nonlinear Sci. Numer. Simulat. 15 (2010), 2809–2817.
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  • [10] M. Belmekki, J.J. Nieto, R. Rodriguez-Lopez, Existence of periodic solution for a nonlinear fractional differential equation, Bound. Value Probl. 2009, 18 p. Article ID 324561.
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  • [16] D. Guo, V. Lakshmikantham, Nonlinear Integral Equations in Abstract Spaces, Kluwer Academic Publishers, 1996.
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  • [20] A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204, Elsevier Science B.V., Amsterdam, 2006.
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  • [29] Ch. Yang, Ch. Zhai, J. Yan, Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument, Nonlinear Anal. 65 (2006), 2013–2023.
  • [30] G. Wang, L. Zhang, G. Song, Integral boundary value problems for first order integro-differential equations with deviating arguments, J. Comput. Appl. Math. 225 (2009), 602–611.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0005-0070
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