Mixed problems of fractional coupled systems of Riemann-Liouville differential equations and Hadamard integral conditions

作者：Ntouyas S K^*; Tariboon Jessada^*; Thiramanus Phollakrit^*

来源：Journal of Computational Analysis and Applications, 2016, 21(5): 813-828.

• Riemann-Liouville fractional derivative
• Hadamard fractional integral
• coupled system
• existence
• uniqueness
• fixed point theorems

Tin this paper we study existence and uniqueness of solutions for mixed problems consisting non local Hadamard fractional integrals for coupled systems of Riemann-Liouville fractional differential equations. The existence and uniqueness of solutions is established by using the Banach's 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2016-11