Uniqueness and parameter dependence of positive solutions to higher order boundary value problems with fractional $q$-derivatives

The authors study a class of nonlinear higher order boundary value problem with fractional $q$-erivativesand dependence on a positive parameter $lm$.The existence, uniqueness, and dependence of positive solutions on $lm$ are discussed.Two sequences are constructed so that they converge uniformly to the unique solution of the problems.Two examples are included in the paper. Numerical computations of the examples confirm their theoretical results.