We present a model-based derivative-free method for optimization subject to general convex constraints, which we assume are unrelaxable and accessed only through projection operator that is cheap evaluate. prove global convergence worst-case complexity of $O(\epsilon^{-2})$ iterations objective evaluations nonconvex functions, matching results the unconstrained case. introduce new, weaker requi...

the present study aims at indicating the existence and uniqueness result of system in extended colombeaualgebra. the caputo fractional derivative is used for solving the system of odes. in addition, rieszfractional derivative of colombeau generalized algebra is considered. the purpose of introducing rieszfractional derivative is regularizing it in colombeau sense. we also give a solution to a n...