Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions

Jessada Tariboon, Sotiris K. Ntouyas, Weerawat Sudsutad
2016 Journal of Nonlinear Science and its Applications  
In this paper we study existence and uniqueness of solutions for coupled systems consisting from fractional differential equations of Riemann-Liouville type subject to coupled and uncoupled Hadamard fractional integral boundary conditions. The existence and uniqueness of solutions is established by Banach's contraction principle, while the existence of solutions is derived by using Leray-Schauder's alternative. Examples illustrating our results are also presented.
doi:10.22436/jnsa.009.01.28 fatcat:p6xmyhva5jbmfcqb43fy3ktxwu