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After establishing a comparison result of the nonlinear Riemann-Liouville fractional differential equation of order \({p\in(2, 3]}\), we obtain the existence of maximal and minimal solutions, and the uniqueness result for fractional differential equations. As an application, an example is presented to illustrate the main results.

Monotone iterative technique for nonlinear boundary value problems of fractional order p ∈ ( 2 , 3 ] $p\in(2,3]$