Title On a strong-singular fractional differential equation Type of Research Article Keywords Boundary value conditions, Integro-differential equation, Strong-singularity, The fractional Caputo derivative Abstract It is important we try to solve complicate differential equations specially strong singular ones. We investigate the existence of solutions for a strong-singular fractional boundary value problem under some conditions. In this way, we provide a new technique for our study. We provide an example to illustrate our main result. Researchers Dumitru Baleanu (First Researcher)، khadijeh Ghafarnezhad (Second Researcher)، Shahram Rezapour (Third Researcher)، Mehdi Shabibi (Fourth Researcher)