Uniqueness and Iterative Schemes of Positive Solutions for Conformable Fractional Differential Equations via Sum-Type Operator Method
Received:September 20, 2021  Revised:February 19, 2022
Key Word: positive solutions   existence-uniqueness   conformable fractional derivatives   sum-type operator   boundary value problems  
Fund ProjectL:Supported by the Key R&D Program of Shanxi Province (International Cooperation) (Grant No.201903D421042) and the Shanxi Scholarship Council of China (Grant No.2021-030).
Author NameAffiliation
Bibo ZHOU College of Mathematics, Taiyuan University of Technology, Shanxi 030024, P. R. China
Department of Mathematics, Lyuliang University, Shanxi 033000, P. R. China 
Lingling ZHANG College of Mathematics, Taiyuan University of Technology, Shanxi 030024, P. R. China 
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Abstract:
      We are concerned with two points boundary value problems for a kind of conformable fractional differential equations in this paper. By employing the fixed point theorems for a class of sum-type operator defined on a cone, the existence-uniqueness and iterative schemes converging to unique positive solution are established. As applications, two examples are presented to illustrate our main results.
Citation:
DOI:10.3770/j.issn:2095-2651.2022.04.002
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