N-theory deals with the space-time nonlocality in nature which in time domain results in memoryeffect. Recent results show that memory can be considered as a fundamental characteristic of allfundamental interactions. In this short note we deal with the strong interaction and address thisquestion that: do quarks as fundamental building blocks of our universe exhibit some kind ofmemory effects? We investigate this idea through the framework of fractional dynamics andalso, we discus about a possible fractional quark theory. The idea is based on some behavior andcharacteristics of quarks and quark matter that naturally can be described using fractionaloperators which intrinsically incorporate memory kernels and nonlocality. Finally, we examinethe fractional quark theory’s application in the exotic baryon spectroscopy and its power toprediction of possible future LHC results. We show that this powerful framework can reproducethe experimental mass for the exotic baryons.