Exact Solutions and Finite Time Stability of Linear Conformable Fractional Systems with Pure Delay  

作　　者：Ahmed M.Elshenhab Xingtao Wang Fatemah Mofarreh Omar Bazighifan 

机构地区：[1]School of Mathematics,Harbin Institute of Technology,Harbin,150001,China [2]Department of Mathematics,Faculty of Science,Mansoura University,Mansoura,35516,Egypt [3]Mathematical Science Department,Faculty of Science,Princess Nourah Bint Abdulrahman University,Riyadh,11546,Saudi Arabia [4]Section of Mathematics,International Telematic University Uninettuno,Roma,00186,Italy

出　　处：《Computer Modeling in Engineering & Sciences》2023年第2期927-940,共14页工程与科学中的计算机建模（英文）

基　　金：Supporting Project No.(PNURSP2022R27),Princess Nourah bint Abdulrahman Uni-versity,Riyadh,Saudi Arabia。

摘　　要：We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay.By using new conformable delayed matrix functions and the method of variation,we obtain a representation of their solutions.As an application,we derive a finite time stability result using the representation of solutions and a norm estimation of the conformable delayedmatrix functions.The obtained results are new,and they extend and improve some existing ones.Finally,an example is presented to illustrate the validity of our theoretical results.

关 键 词：Representation of solutions conformable fractional derivative conformable delayed matrix function conformable fractional delay differential equations finite time stability 

分 类 号：O175[理学—数学]