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In this paper, we purpose the concept of tempered Univex functions by utilizing a tempered fractional difference-differential operator type Caputo. This instruction indicates a new class of these functions in some optimal problems by exemplifying the settings on the modified formula. We call it the class of tempered fractional Univex functions. Our study is based on the strong, weak, converse, and strict converse duality propositions. A Multi-objective optimal problem includes the new process is disentangled.