We consider the following state dependent boundary-value problem , ; , where is the standard Riemann-Liouville fractional derivative of order , , , , the function is defined as , and the function is defined as , are continuous on and , . Using Banach contraction mapping principle and Leray-Schauder continuation principle, we obtain some sufficient conditions for the existence and uniqueness of the positive solutions for the above fractional order differential equations, which extend some references.
"Positive Solutions for Class of State Dependent Boundary Value Problems with Fractional Order Differential Operators." Abstr. Appl. Anal. 2015 (SI08) 1 - 11, 2015. https://doi.org/10.1155/2015/263748