| 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 Words:
positive solutions existence-uniqueness conformable fractional derivatives sum-type operator boundary value problems
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| Fund Project: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). |
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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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