Affiliation:
1. Department of Applied Mathematics, Shandong University of Science and Technology, Qingdao 266590, China
2. Department of Statistics and Finance, Shandong University of Science and Technology, Qingdao 266590, China
Abstract
In this paper, the existence of extremal solutions for fractional differential equations with integral boundary conditions is obtained by using the monotone iteration technique and the method of upper and lower solutions. The main equations studied are as follows:−D0+αut=ft,ut, t∈0,1,u0=0, u1=∫01utdAt,whereD0+αis the standard Riemann–Liouville fractional derivative of orderα∈1,2andAtis a positive measure function. Moreover, an example is given to illustrate the main results.
Funder
National Natural Science Foundation of China
Cited by
5 articles.
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