Controllability results of fractional integro-differential equation with non-instantaneous impulses on time scales-Reference-Cited by-同舟云学术

Controllability results of fractional integro-differential equation with non-instantaneous impulses on time scales

Published:2020-05-08 Issue:1 Volume:38 Page:211-231
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Kumar Vipin¹,Malik Muslim¹

Affiliation:

1. School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, 175075 Himachal Pradesh, India

Abstract

Abstract In this work, we investigate the controllability results of a fractional integro-differential equation with non-instantaneous impulses on time scales. Banach contraction theorem and the non-linear functional analysis have been used to establish these results. In support, a numerical example with simulation for different time scales is given to validate the obtained analytical outcomes.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://academic.oup.com/imamci/article-pdf/38/1/211/36320001/dnaa008.pdf

Reference45 articles.

1. A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions;Agarwal;Acta Appl. Math.,2010

2. Basic calculus on time scales and some of its applications;Agarwal;Results Math.,1999

3. Dynamic equations on time scales: a survey;Agarwal;J. Comput. Appl. Math.,2002

4. Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations. Nonlinear Anal;Ahmad;Hybrid Syst.,2009

5. On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales;Ahmadkhanlu;Bull. Iranian Math. Soc.,2012

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Controllability of Volterra integro-dynamic systems with prescribed controls on time scales;Journal of Control and Decision;2024-09-11

2. Analytical and Computational Results for Neutral Impulsive Fractional System on Time Scales;Contemporary Mathematics;2024-08-07

3. Periodic Boundary Value problem for the Dynamical system with neutral integro-differential equation on time scales;Partial Differential Equations in Applied Mathematics;2024-06

4. Controllability Results for $$\psi $$-Caputo Fractional Differential Systems with Impulsive Effects;Qualitative Theory of Dynamical Systems;2024-04-13

5. Projective synchronization of fractional order quaternion valued uncertain competitive neural networks;Chinese Journal of Physics;2024-04