Affiliation:
1. College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China
Abstract
A class of fractional viscoelastic Kirchhoff equations involving two nonlinear source terms of different signs are studied. Under suitable assumptions on the exponents of nonlinear source terms and the memory kernel, the existence of global solutions in an appropriate functional space is established by a combination of the theory of potential wells and the Galerkin approximations. Furthermore, the asymptotic behavior of global solutions is obtained by a combination of the theory of potential wells and the perturbed energy method.
Funder
Talent Introduction Research Project of Northwest Minzu University
Innovation Team Project of Northwest Minzu University
First-Rate Discipline of Northwest Minzu University
Key Laboratory of China’s Ethnic Languages and Information Technology of Ministry of Education at Northwest Minzu University
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