Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions

الملخص EN

In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, some properties of the first eigenvalue of a fractional differential equation were obtained; combining fixed point index theorem, sufficient conditions for the existence of positive solutions are established.

An example is given to demonstrate the application of our main results.