Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system

In this manuscript, our primary focus on the approximate controllability outcomes for non‐densely defined Sobolev‐type Hilfer fractional neutral differential system with infinite delay. By applying the findings and facts associated with fractional theory and the fixed‐point method, the principal dis...

Full description

Saved in:
Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 17; pp. 13615 - 13632
Main Authors Nisar, Kottakkaran Sooppy, Vijayakumar, V.
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.11.2021
Subjects
approximate controllability
Controllability
Hilfer fractional derivative
infinite delay
mild solution
neutral system
Sobolev‐type system
Online AccessGet full text

Cover

More Information
Summary:In this manuscript, our primary focus on the approximate controllability outcomes for non‐densely defined Sobolev‐type Hilfer fractional neutral differential system with infinite delay. By applying the findings and facts associated with fractional theory and the fixed‐point method, the principal discussions are demonstrated. First, we focus on the existence and then discuss the approximate controllability. At last, we provide an example for the demonstration of theory.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7647