Exact controllability and continuous dependence of solution of a conformable fractional control system

Mathematical Analysis and its Contemporary Applications

دوره 4، شماره 2، تیر 2022، صفحه 35-46   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/maca.2022.1947815.1042

نویسنده

Sanjukta Das^*

Ecole Centrale School of Engineering, Mahindra University, India

چکیده

The exact controllability of a conformable fractional differential system is established in this paper. The system is described by a non-densely defined linear part satisfying the Hille Yosida condition, and a control term appearing in the nonlinear part. The existence of mild solution and exact controllability is proved by Banach fixed point theorem for the system with non-local conditions and deviated argument. The continuous dependence of the mild solution is also studied. An example is discussed to illustrate the results.

کلیدواژه‌ها

Non-dense operator؛ Deviated Argument؛ Non-local conditions؛ Conformal fractional differential equation؛ Controllability