Herzallah, Mohamed A. E.Baleanu, DumitruEl-Shahed, MoustafaBaleanu, DumitruMatematik2022-06-172022-06-172013Herzallah, Mohamed A. E.; El-Shahed, Moustafa; Baleanu, Dumitru (2013). "Mild and strong solutions for a fractional nonlinear neumann boundary value problem", Journal of Computational Analysis and Applications, Vol. 15, No. 2, pp. 341-352.1521-13981572-9206Herzallah, Mohamed/0000-0003-3514-3709; El-Shahed, Moustafa/0000-0001-9508-3192In 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 feninfo:eu-repo/semantics/closedAccessFractional Caputo DerivativeBoundary Value ProblemNeumann ConditionsSchauffer Fixed Point TheoremArticle1523413522-s2.0-84876855698WOS:000315700000015N/AQ4