Controllability of fractional differential evolution equation of order γ∈(1,2) with nonlocal conditions

Abstract

This paper investigates the existence of positive mild solutions and controllability for fractional differential evolution equations of order with nonlocal conditions in Banach spaces. Our approach is based on Schauder's fixed point theorem, Krasnoselskii's fixed point theorem, and the Arzelà-Ascoli theorem. Finally, we include an example to verify our theoretical results.

Keywords

• controllability
• fractional differential evolution equations
• positive mild solution
• fixed points