Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping

Joint Authors

Sun, Yeguo
Xu, Jin
Du, Jun
Cui, Dongling

Source

Mathematical Problems in Engineering

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-10-21

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

This paper gains several meaningful results on the mild solutions and approximate controllability for a kind of fractional neutral differential equations with damping (FNDED) and order belonging to 1,2 in Banach spaces.

At first, a new expression for the mild solutions of FNDED via the (p, q)-regularized operator family and the technique of Laplace transform is acquired.

Then, we consider the approximate controllability of FNDED by means of the approximate sequence method, and simultaneously, some applicable sufficient conditions are obtained.

American Psychological Association (APA)

Du, Jun& Cui, Dongling& Sun, Yeguo& Xu, Jin. 2020. Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1200619

Modern Language Association (MLA)

Du, Jun…[et al.]. Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1200619

American Medical Association (AMA)

Du, Jun& Cui, Dongling& Sun, Yeguo& Xu, Jin. Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1200619

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1200619