Existence and monotone iteration of unique solution for tempered fractional differential equations Riemann–Stieltjes integral boundary value problems

作者: Bibo Zhou , Lingling Zhang , Nan Zhang , Emmanuel Addai

DOI: 10.1186/S13662-020-02665-2

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摘要: The primary objective of this research paper is to investigate two kinds high-order tempered fractional differential equations integral boundary value problems. By means the mixed monotone operators fixed point theorems with perturbation and increasing $\varphi -(h,\sigma )$-concave theorems, we can not only guarantee existence-uniqueness solution, but also construct successively sequences for approximating unique solution. In addition, demonstrate effectiveness main result by using examples.

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