Existence of multiple positive solutions of a nonlinear arbitrary order boundary value problem with advanced arguments
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Wang, G. T.
Zhang, L. H.
Ntouyas, S. K.
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University of Szeged, Bolyai Institute
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peer reviewed
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Electronic Journal of Qualitative Theory of Differential Equations
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In this paper, we investigate nonlinear fractional differential equations of arbitrary order with advanced arguments { D-0+(alpha) u(t) + a(t)f(u(theta(t))) = 0, 0 < t < 1, n- 1 <alpha <= n, u((i))(0) = 0, i = 0, 1, 2, ... , n - 2, [D-0+(beta) u(t)](t=1) = 0, 1 <= beta <= n - 2, where n < 3 (n is an element of N), D-0+(alpha) is the standard Riemann-Liouville fractional derivative of order alpha, f:[0,infinity) -> [0,infinity), a :[0,1] -> (0, infinity)and theta : (0,1) -> (0,1] are continuousfunctions.ByapplyingfixedpointindextheoryandLeggett-Williams fixed point theorem, sufficient conditions for the existence of multiple positive solutions to the above boundary value problem are established
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positive solution, advanced arguments, fractional differentiale quations, fixed point index theory, leggett-williams fixed point theorem, fractional differential-equations, deviating arguments, integrodifferential equations, integral-equation, banach-spaces
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<Go to ISI>://000301079400001
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών