On the existence of solution to a boundary value problem of fractional differential equation on the infinite interval
نویسندگان
چکیده
*Correspondence: [email protected] 1College of Mathematics and Statistics, Hefei Normal University, Hefei, 230061, P.R. China 2College of Mathematical Science, University of Science and Technology of China, Hefei, 230000, P.R. China Abstract This work deals with a boundary value problem for a nonlinear multi-point fractional differential equation on the infinite interval. By constructing the proper function spaces and the norm, we overcome the difficulty following from the noncompactness of [0,∞). By using the Schauder fixed point theorem, we show the existence of one solution with suitable growth conditions imposed on the nonlinear term.
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تاریخ انتشار 2015