Stochastic Controllability for a Nonautonomous Fractional Neutral Differential Equation With Infinite Delay in Abstract Space
Year: 2024
Type: article
Abstract: This paper deals with the controllability for a class of nonautonomous neutral differential equations of fractional order with infinite delay in an abstract space. The semigroup theory of bounded linear operators, fractional calculus, and stochastic analysis techniques have been implemented to achieve the main result. We prove the existence of a mild solution and controllability of the system by using the theory of measure of noncompactness, fixed point theorems, and a k-set contractive mapping. An example is given to demonstrate the effectiveness of the abstract result.
Authors: Areefa Khatoon, Abdur Raheem, Asma Afreen
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4402890132