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In this paper, we investigate the appropriate conditions for the presence of positive solutions for a singular fractionaldierential equation (SFDE) with fractional integral boundary conditions (FIBCs). Our nonlinear function may has asingularity in its dependent variable. Our investigation is based on the xed point theorem of Krasnosel'skii on a coneand via regularization and sequential techniques (RASTs).

EXISTENCE OF POSITIVE SOLUTIONS FOR A SINGULAR FRACTIONAL NONLINEAR DIFFERENTIAL EQUATION WITH FRACTIONAL INTEGRAL BOUNDARY CONDITIONS