TY - JOUR AU - Ali, Sajjad AU - Arif, Muhammad AU - Lateef, Durdana AU - Akram, Mohammad PY - 2019 TI - Stable monotone iterative solutions to a class of boundary value problems of nonlinear fractional order differential equations JO - Journal of Nonlinear Sciences and Applications SP - 376--386 VL - 12 IS - 6 AB - We construct sufficient conditions for existence of extremal solutions to boundary value problem (BVP) of nonlinear fractional order differential equations (NFDEs). By combing the method of lower and upper solution with the monotone iterative technique, we construct sufficient conditions for the iterative solutions to the problem under consideration. Some proper results related to Hyers-Ulam type stability are investigated. Base on the proposed method, we construct minimal and maximal solutions for the proposed problem. We also construct and provide maximum error estimates and test the obtain results by two examples. 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