Results on controllability of non-densely characterized neutral fractional delay differential system

Kasthurisamy Jothimani; Kalimuthu Kaliraj; Sumati Kumari Panda; Kotakkaran Sooppy Nisar; Chokkalingam Ravichandran

doi:10.3934/eect.2020083

Article Contents

2021, Volume 10, Issue 3: 619-631. Doi: 10.3934/eect.2020083

This issue Previous Article Blow-up criteria for linearly damped nonlinear Schrödinger equations Next Article A nonlocal Weickert type PDE applied to multi-frame super-resolution

Results on controllability of non-densely characterized neutral fractional delay differential system

1.
Department of Mathematics, Sri Eshwar College of Engineering(Autonomous), Coimbatore - 641 202, Tamil Nadu, India
2.
Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai - 600 005, Tamil Nadu, India
3.
Department of Mathematics, GMR Institute of Technology, Rajam - 532 127, Andhra Pradesh, India
4.
Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawasir 11991, Saudi Arabia
5.
Post Graduate and Research Department of Mathematics, Kongunadu Arts and Science College(Autonomous), Coimbatore - 641 029, Tamil Nadu, India

^* Corresponding author: Chokkalingam Ravichandran
^* Corresponding author: Chokkalingam Ravichandran

Received: March 2020

Revised: May 2020

Early access: July 13, 2020

Published online: July 13, 2020

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Abstract

This work establishes the controllability of nondense fractional neutral delay differential equation under Hille-Yosida condition in Banach space. The outcomes are derived with the aid of fractional calculus theory, semigroup operator theory and Schauder fixed point theorem. Theoretical results are verified through illustration.

Keywords:

Mathematics Subject Classification: Primary: 34A08, 93B05, 74G20, 47H10; Secondary: 37L05.

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