APPROXIMATE CONTROLLABILITY OF IMPULSIVE NON-LOCAL NON-LINEAR FRACTIONAL DYNAMICAL SYSTEMS AND OPTIMAL CONTROL

作者：Guechi Sarra^*; Debbouche Amar; Torres Delfim F. M.

来源：Miscolc Mathematical Notes, 2018, 19(1): 255-271.

DOI：10.18514/MMN.2018.2486

• fractional nonlinear equations
• approximate controllability
• q-resolvent families
• optimal control
• nonlocal and impulsive conditions

We establish existence, approximate controllability and optimal control of a class of impulsive non-local non-linear fractional dynamical systems in Banach spaces. We use fractional calculus, sectorial operators and Krasnoselskii fixed point theorems for the main results. Approximate controllability results are discussed with respect to the inhomogeneous non-linear part. Moreover, we prove existence results of optimal triplets of corresponding fractional control systems with Bolza cost functionals.

• 出版日期2018