Tripled fixed point techniques for solving system of tripled-fractional differential equations

The intended goal of this manuscript is to discuss the existence of the solution to the below system of tripled-fractional differential equations (TFDEs, for short):where $ \Theta ^{\mu } $ is RL-fractional derivative of order $ \tau, \; \Omega = [0, \Lambda ], \; \Lambda > 0, $ and $ \gimel :\Omega \times \mathbb{R} \rightarrow \mathbb{R}, $ with $ \gimel (0, 0) = 0, \; \Game :\Omega \times \mathbb{R} \times \mathbb{R} \rightarrow \mathbb{R} $ are functions taken under appropriate hypotheses. The method of the proof depends on a manner of a tripled fixed point (TFP), which generalize a fixed point theorem of Burton [1]. At last, a non-trivial example to strong our results is illustrated.