Existence and uniqueness of solutions for a higher-order coupled fractional differential equations at resonance

Lei Hu, Shuqin Zhang
2015 Advances in Difference Equations  
In this article, we present the existence of solutions for a higher-order coupled fractional differential equations with the Caputo fractional derivative. Our main approach is the coincidence degree theory due to Mawhin. The most interesting point is the proof of the uniqueness of the solution for the higher-order coupled fractional differential equations at resonance. We give an example to demonstrate our results.
doi:10.1186/s13662-015-0543-2 fatcat:sj3nq3afz5hnjcmqznbqsss434