Mainly engaged in the theoretical and applied research of nonlinear fractional differential equations and functional differential equations. He presided over 3 general projects of National Natural Science Foundation, 2 doctoral programs of Ministry of Education, 2 key projects of Hunan Natural Science Foundation (1) and 2 key projects of universities in Hunan Province. Participate in 4 national, provincial and ministerial scientific research projects; Presided over two provincial education reform projects.

Won the second prize of natural science of the Ministry of Education, the third prize of natural science of Hunan Province, the nomination award of 100 outstanding doctoral dissertations in China and the award of outstanding doctoral dissertations in Hunan Province; He won the Excellent Teaching Achievement Award of Hunan Province for four times, and the first prize of American College Students' Mathematical Modeling Competition for guiding students; He was awarded the honorary title of "Excellent Teacher in Hunan Province".

More than 120 SCI papers have been published. At present, 2 1 papers have been listed as highly cited papers by ESI (referring to papers with cited times in the top 1% compared with papers published in the same field and at the same time), among which 1 paper was selected as a "rapid breakthrough" in the field of mathematics by American Science Watch.

Invited to be a member of the scientific Committee and the international procedure Committee of the international academic conference, and a guest speaker at the conference; Member of the academic Committee and chairman of the organizing Committee of the national academic conference on differential equations, report of the conference and invited speaker.