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

A fractional Laplacian problem with mixed singular nonlinearities and nonregular data