Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative

Abstract In this article, we extend the generalized invexity and duality results for multiobjective variational problems with fractional derivative pertaining to an exponential kernel by using concept of weak minima. Multiobjective find their applications in economic planning, flight control design, industrial process control, space structures, production inventory, advertising investment, impulsive problems, mechanics, several other engineering scientific problems. The proposed work considers newly derived Caputo–Fabrizio (CF) operator. It is actually a convolution function first-order derivative. significant characteristic operator that it provides non-singular kernel, which describes dynamics system better way. Moreover, also presents various weak, strong, converse theorems under diverse conditions view CF