文章基本信息

标题：On the existence of positive solutions for generalized fractional boundary value problems
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作者：Arjumand Seemab ; Mujeeb Ur Rehman ; Jehad Alzabut 等
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2019
卷号：2019
期号：1
页码：1-20
DOI：10.1186/s13661-019-01300-8
出版社：Hindawi Publishing Corporation
摘要：The existence of positive solutions is established for boundary value problems defined within generalized Riemann–Liouville and Caputo fractional operators. Our approach is based on utilizing the technique of fixed point theorems. For the sake of converting the proposed problems into integral equations, we construct Green functions and study their properties for three different types of boundary value problems. Examples are presented to demonstrate the validity of theoretical findings..
关键词：Generalized fractional differential equations ψ -Riemann–Liouville ; Existence of positive solutions ; Fixed point theorems ; Fractional derivative ; ψ -Caputo fractional derivative ;