In this note, we study the existence and uniqueness of a positive solution to doubly singular fractional problem with nonregular data. Besides, for some cases, will show another notion solution, so-called entropy solution. Also, suitable assumptions on data, discuss uniqueness. Finally, have relaxation assumption prove results.

<p style='text-indent:20px;'>In this paper we establish the existence of at least two (weak) solutions for following fractional Kirchhoff problem involving singular and exponential nonlinearities</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{cases} M\left(\|u\|^{{n}/{s}}\right)(-\Delta)^s_{n/s}u = \mu u^{...