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Local existence-uniqueness of positive solutions for tempered fractional differential equations with p-Laplacian operators
  • Bibo Zhou,
  • Lingling Zhang
Bibo Zhou
Departments of Mathematics

Corresponding Author:[email protected]

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Lingling Zhang
Taiyuan University of Technology
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In this paper, we are concerned with a kinds of tempered fractional differential equation Riemann-Stieltjes integral boundary values problem involving p−Laplacian operator. By means of the sum-type mixed monotone operators fixed point theorem based on the cone Ph, not only the local existence of unique positive solution is obtained, but also two successively monotone iterative sequences are constructed for approximating the unique positive solution. Finally, we present an example to illustrate our main results.