Abstract
In telecommunications industry, the conformable derivative of arbitrary order. plays an important role in controlling the Internet traffic flow. Hence, obtaining soliton solutions in terms of this parameter. is of great importance in such field of engineering. One of the most familiar models in this area is the Fokas-Lenells equation. This paper implements the extended simplest equation method to analyze the time-conformable nonlinear Fokas-Lenells equation. Several kinds of solitons such as singular, combo soliton solutions, and others have been provided. The existence criteria of the obtained soliton solutions are also reported. Moreover, the obtained solutions in the literature are recovered as special cases of the present ones.