On the periodic boundary value problem for Duffing type fractional differential equation with p -Laplacian operator

Boundary value problems

Wenbin Liu¹  Hua Jin¹ 

[1] Department of Mathematics, China University of Mining and Technology, Xuzhou, PR China

关键词: continuation theory;    fractional differential equation;    p-Laplacian operator;    periodic boundary conditions;    34A08;    34B15;   

DOI  :  10.1186/s13661-015-0408-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By using the continuation theorem of coincidence degree theory, we study the existence of solutions of Duffing type fractional differential equations with a p-Laplacian operator. Under certain nonlinear growth conditions of the nonlinearity, we obtain a new result on the existence of solutions.

【 授权许可】

CC BY