Nonlocal fractional-order boundary value problems with generalized Riemann-Liouville integral boundary conditions

作者：Ahmad Bashir; Ntouyas Sotiris K; Tariboon Jessada

来源：Journal of Computational Analysis and Applications, 2017, 23(7): 1281-1296.

• Caputo fractional derivative
• generalized Riemann-Liouville integral
• nonlocal boundary conditions
• fixed point theorems

In this paper, we study existence and uniqueness of solutions for nonlocal boundary value problems of Caputo fractional differential equations equipped with generalized Riemann-Liouville integral boundary conditions. A variety of fixed point theorems such as Banach's fixed point theorem, nonlinear contractions, Krasnoselskii's fixed point theorem, Schaefer's fixed point theorem, Leray-Schauder's nonlinear alternative and Leray-Schauder degree theory are applied to obtain the desired results. Several examples are discussed for illustration of the obtained results.

• 出版日期2017-11-30