Abstract
This paper is concerned with the two-point boundary value problems of nonlinear finite discrete fractional differential equations. On one hand, we discuss some new properties of the Green function. On the other hand, by using the main properties of Green function and the Krasnoselskii fixed point theorem on cones, some sufficient conditions for the existence of at least one or two positive solutions for the boundary value problem are established.
Highlights
Since 1974, the development of fractional differential equations is driven by an extremely wide application background
By using the main properties of Green function and the Krasnoselskii fixed point theorem on cones, some sufficient conditions for the existence of at least one or two positive solutions for the boundary value problem are established
A lot of papers and monographs have been produced and several international conferences were held about fractional calculus and fractional differential equation theory and application
Summary
Since 1974, the development of fractional differential equations is driven by an extremely wide application background. In those thirty years, a lot of papers and monographs have been produced and several international conferences were held about fractional calculus and fractional differential equation theory and application. By discussing the fixed point of the new operator equation, we gain some existence results of solution in (1)
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