Positive Solutions and Monotone Iterative Sequences for a Class of Higher Order Boundary Value Problems of Fractional Order

نویسندگان

  • MUHAMED SYAM
  • MOHAMMED AL-REFAI
چکیده

In this paper, the method of lower and upper solutions is extended to deal with certain nonlinear fractional boundary value problem of order 3 < δ < 4. Two well-defined monotone sequences of lower and upper solutions which converge uniformly to actual solution of the problem are presented. The convergence of these sequences is verified numerically through one example and a result on the existence of positive solutions is obtained.

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تاریخ انتشار 2012