An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space-Reference-Cited by-同舟云学术

An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space

Published:2022 Issue:7 Volume:7 Page:11687-11707
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ma Yong-Ki¹,Kumar Kamalendra²,Patel Rohit³,Shukla Anurag⁴,Nisar Kottakkaran Sooppy⁵,Vijayakumar Velusamy⁶

Affiliation:

1. Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Republic of Korea

2. Department of Mathematics, SRMS College of Engineering and Technology, Bareilly 243001, India

3. Department of Mathematics, Government PG College Bisalpur, Pilibhit 244001, India

4. Department of Applied Science, Rajkiya Engineering College Kannauj, Kannauj 209732, India

5. Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia

6. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India

Abstract

<abstract><p>The main focus of this paper is on the boundary controllability of fractional order Sobolev-type neutral evolution equations in Banach space. We show our key results using facts from fractional calculus, semigroup theory, and the fixed point method. Finally, we give an example to illustrate the theory we have established.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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