EXTREMAL POINTS FOR A (n, p)-TYPE RIEMANN-LIOUVILLE FRACTIONAL-ORDER BOUNDARY VALUE PROBLEMS.

The main objective of this work is to use the Krein{Rutman theorem to characterize extremal points for a (n; p)-type Riemann{Liouville fractional-order boundary value problem. The key premise is that a mapping from a linear, compact operator to its spectral radius, which depends on =, is continuous and strictly increasing as a function of =. A nonlinear problem is also treated as an application of the result for the linear case's extremal point. [ABSTRACT FROM AUTHOR]