TY - JOUR
TI - Application of Jordan canonical form and symplectic matrix in fractional differential models
AU - Xu Bo
AU - Shi Pengchao
AU - Zhang Yujin
AU - Zhang Sheng
JN - Thermal Science
PY - 2022
VL - 26
IS - 101
SP - 19
EP - 28
PT - Article
AB - Under consideration of this paper is the application of Jordan canonical form  and symplectic matrix to two conformable fractional differential models. One  is the new conformable fractional vector conduction equation which is  reduced by using the Jordan canonical form of coefficient matrix and solved  exactly, and the other is the new conformable fractional vector dynamical  system with Hamilton matrix and symplectic matrix, which is derived by  constructing the conformable fractional Euler-Lagrange equation and using  fractional variational principle. It is shown that Jordan canonical form and  symplectic matrix can be used to deal with some other conformable fractional  differential systems in mathematical physics.