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Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions

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Języki publikacji
EN
Abstrakty
EN
This paper studies the boundary value problem of nonlinear fractional differential equations and inclusions of order q ∈ (1, 2] with nonlocal and integral boundary conditions. Some new existence and uniqueness results are obtained by using fixed point theorems.
Rocznik
Strony
117--138
Opis fizyczny
Bibliogr. 37 poz.
Twórcy
  • University of Ioannina, Department of Mathematics, 451 10 Ioannina, Greece, sntouyas@uoi.gr
Bibliografia
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  • [4] B. Ahmad, Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations, Appl. Math. Lett. 23 (2010), 390-394.
  • [5] B. Ahmad, Existence of solutions for fractional differential equations of order q € (2,3] with anti-periodic boundary conditions, J. Appl. Math. Comput. 34 (2010), 385-391.
  • [6] B. Ahmad, On nonlocal boundary value problems for nonlinear integro-differential equa tions of arbitrary fractional order, Results Math., DOI 10.1007/s00025-011-0187-9.
  • [7] B. Ahmad, A. Alsaedi, Existence and uniqueness of solutions for coupled systems of higher order nonlinear fractional differential equations, Fixed Point Theory Appl., 2010 (2010) Article ID 364560, 17 pp.
  • [8] B. Ahmad, 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.
  • [9] 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.
  • [10] B. Ahmad, S.K. Ntouyas, A. Alsaedi, New existence results for nonlinear fractional differential equations with three-point integral boundary conditions, Adv. Differ. Equ., Volume 2011, Article ID 107 384, 11 pp.
  • [11] B. Ahmad, S. Sivasundaram, On four-point nonlocal boundary value problems of nonlin-ear integro-differential equations of fractional order, Appl. Math. Comput. 217 (2010), 480-487.
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  • [15] M. Benchohra, S. Hamani, S.K. Ntouyas, Boundary value problems for differential equations with fractional order and nonlocal conditions, Nonlinear Anal. 71 (2009). 2391-2396.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0009-0012
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