English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We introduce the optimality question to the relaxation in multiple controlproblems described by Sobolev type nonlinear fractional differential equationswith nonlocal control conditions in Banach spaces. Moreover, we consider theminimization problem of multi-integral functionals, with integrands that arenot convex in the controls, of control systems with mixed nonconvex constraintson the controls. We prove, under appropriate conditions, that the relaxationproblem admits optimal solutions. Furthermore, we show that those optimalsolutions are in fact limits of minimizing sequences of systems with respect tothe trajectory, multi-controls, and the functional in suitable topologies.

Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type with Nonlocal Nonlinear Fractional Differential Equations