Optimality conditions and duality for nonsmooth fractional continuous-time problems (Q2429406)

This paper derives some optimality conditions for a class of nonsmooth continuous-time fractional programming problems under various invexity conditions. These results extend earlier results on optimality conditions on fractional continuous-time problems. Subsequently, two parameter-free dual models are formulated. The usual convexity requirement and differentiability of functions are relaxed and certain duality theorems are proved in the framework of generalized invexity.