摘要：This paper deals with the existence and multiplicity of solutions for the integral boundary value problem of fractional differential systems: D 0 + α 1 u 1 t = f 1 t , u 1 t , u 2 t , D 0 + α 2 u 2 t = f 2 t , u 1 t , u 2 t , u 1 0 = 0 , D 0 + β 1 u 1 0 = 0 , D 0 + γ 1 u 1 1 = ∫ 0 1 D 0 + γ 1 u 1 η d A 1 η , u 2 0 = 0 , D 0 + β 2 u 2 0 = 0 , D 0 + γ 2 u 2 1 = ∫ 0 1 D 0 + γ 2 u 2 η d A 2 η , , where f i : 0,1 × 0 , ∞ × 0 , ∞ ⟶ 0 , ∞ is continuous and α i − 2 β i ≤ 2 , α i − γ i ≥ 1,2 α i ≤ 3 , γ i ≥ 1 i = 1,2 . D 0 + α is the standard Riemann–Liouville’s fractional derivative of order α. Our result is based on an extension of the Krasnosel’skiĭ’s fixed-point theorem due to Radu Precup and Jorge Rodriguez-Lopez in 2019. The main results are explained by the help of an example in the end of the article.
