Asymptotically periodic solutions of semilinear fractional integro-differential equations

作者：Xia, Zhinan^*

来源：Advances in Difference Equations, 2014, 2014(1): 9.

DOI：10.1186/1687-1847-2014-9

• S-asymptotically omega-periodic function
• fractional integro-differential equations
• sectorial operator
• Leray-Schauder alternative theorem

In this paper, we study the existence of an S-asymptotically omega-periodic mild solution of semilinear fractional integro-differential equations in Banach space, where the nonlinear perturbation is S-asymptotically omega-periodic or S-asymptotically omega-periodic in the Stepanov sense. A fixed point theorem and the nonlinear Leray-Schauder alternative theorem are the main tools in carrying out our proof. Some examples are given to show the efficiency and usefulness of the main findings.

• 出版日期2014-1-7
• 单位浙江工业大学