On Positive Solution of a New Class of Nonlocal Fractional Equation with Integral Boundary Conditions

We prove that a positiveasolution to a given boundaryaproblem exists and is unique. This new boundaryacondition relates theanon-local unknown value of unknownafunction at with its influenceadue to aasup-strip (,1), 0<<<1 .Our resultsaare aobtainted by using " Banach andaKrasnoselskiisatheorems"a linked to anywhere. Some classicalatheorems of fixedapoints assistance to achieve the greatestaresults.