Abstract
Using Banach’s contractive principle and Leray–Schauder’s fixed point theorem, we study the uniqueness and existence for a nonlinear fractional differential equation with functional boundary condition based on the two-parameter Mittag-Leffler function and an implicit integral equation. Several examples are also presented to demonstrate applications of our key theorems. The methods used can also deal with other types of differential equations with various initial or boundary conditions.
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