A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions

作者：Suantai Suthep; Ntouyas Sotiris K; Asawasamrit Suphawat; Tariboon Jessada^*

来源：Advances in Difference Equations, 2015, 2015(1): 124.

DOI：10.1186/s13662-015-0462-2

• fractional q-difference equations
• existence
• uniqueness
• fixed point theorems

In this paper, we investigate the existence and the uniqueness of solutions for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions. The existence and the uniqueness of the solutions are established by using the Banach contraction principle, while the existence of solutions is derived by applying Leray-Schauder's alternative. Examples illustrating our results are also presented.

• 出版日期2015-4-22