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Browsing by Author "Neamaty, A."

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    Article
    Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problems
    (Hindawi LTD, 2013) Baleanu, Dumitru; Mohammadzadeh, B.; Neamaty, A.; Baleanu, Dumitru; 56389
    We apply the lower and upper solutions method and fixed-point theorems to prove the existence of positive solution to fractional boundary value problem D(0+)(alpha)u(t) + f(t, u(t)) = 0, 0 < t < 1, 2 < alpha <= 3, u(0) = u'(0) = 0, D-0(alpha-1),u(1) = beta u(xi), 0 < xi < 1, where D-0+(alpha) denotes Riemann-Liouville fractional derivative, beta is positive real number, beta xi(alpha-1) >= 2 Gamma(alpha), and f is continuous on [0, 1] x [0,infinity). As an application, one example is given to illustrate the main result.
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    Article
    On the existence and uniqueness of solution of a nonlinear fractional differential equations
    (2013) Baleanu, Dumitru; Mohammadzadeh, B.; Neamaty, A.; Baleanu, Dumitru; 56389
    In this paper, we investigate the existence and uniqueness of solution for fractional boundary value problem for nonlinear fractional differential equation, where D0α denotes Caputo derivative of order by using the fixed point theory. We apply the contraction mapping principle and Krasnoselskii's fixed point theorem to obtain some new existence and uniqueness results. Two examples are given to illustrate the main results.