Work

Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay

Year: 2023

Type: article

Abstract: In this paper, we explain the approximate controllability of Ψ-Hilfer fractional neutral differential equations with infinite delay. The outcome is demonstrated using the infinitesimal operator, fractional calculus, semigroup theory, and the Krasnoselskii’s fixed point theorem. To begin, we emphasise the presence of the mild solution and show that the Ψ-Hilfer fractional system is approximately controllable. Additionally, we present theoretical and practical examples.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract7070537

Authors: Chandrabose Sindhu Varun Bose, Ramalingam Udhayakumar, Subramanian Velmurugan, Madhrubootham Saradha, Barakah Almarri

Institutions: Vellore Institute of Technology University, SASTRA University, REVA University, Princess Nourah bint Abdulrahman University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,002

OpenAlex ID: W4384067932

FWCI: 3.215

Cites: 29

Cited by: 15

Related to: 10