Research focus on optimal control problems brought by fractional differential equations has been extensively applied in practice. However, because they are still open-ended and challenging, a number of with mathematical modeling require additional study. Using fractional-order derivatives defined the Atangana Baleanu Caputo sense, we alter integer-order model that proposed literature. We prove ...

This paper investigates some duality results of a mixed type for class multiple objective fractional optimal control problems. More precisely, by considering the Wolfe- and Mond–Weir-type dualities, we formulate robust mixed-type dual problem and, under suitable convexity assumptions involved functionals, establish equivalence between solution sets considered models. Essentially, investigate we...

Abstract This paper investigates the optimal control for a class of nonlocal fractional evolution equations order $\gamma \in (1,2)$ ? ? ( 1 , 2 ) in Banach spaces. An adequate definition ? -mild solutions is...

We investigate a class of fractional neutral evolution equations on Banach spaces involving Caputo derivatives. Main results establish conditions for the controllability fractional-order system and existence solution to an optimal control problem minimum energy. The are proved with help fixed-point semigroup theories.