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Browsing by Author "El-Shahed, Moustafa"

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    Mild and strong solutions for a fractional nonlinear neumann boundary value problem
    (Eudoxus Press, Llc, 2013) Herzallah, Mohamed A. E.; Baleanu, Dumitru; El-Shahed, Moustafa; Baleanu, Dumitru; 56389; Matematik
    In this paper, we investigated the following fractional Neumann boundary value problem D-C(0)alpha+u(t) - lambda u(t) = f (t, u(t)), u'(0) = u'(1) = 0, 1 < alpha < 2, lambda not equal 0, where D-C(a+)alpha is the fractional Caputo derivative. We proved the existence of at least one mild solution and we determined when this solution is unique for suitable assumptions on the function f