Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions

摘要

In this paper, we study the existence of solutions for Riemann-Liouville type integro-differential equations of fractional order α ∈ ( 2 , 3 ] with nonlocal three-point fractional boundary conditions via Sadovskii’s fixed point theorem for condensing maps. An illustrative example is also presented. MSC:34A08, 34B10, 34B15.