Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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ON THE SOLVABILITY OF A NONLINEAR LANGEVIN EQUATION INVOLVING TWO FRACTIONAL ORDERS IN DIFFERENT INTERVALS

  • Turab, Ali (Department of Mathematics and Statistics, Faculty of Science and Technology Thammasat University Rangsit Center) ;
  • Sintunavarat, Wutiphol (Department of Mathematics and Statistics, Faculty of Science and Technology Thammasat University Rangsit Center)
  • Received : 2020.09.07
  • Accepted : 2021.04.11
  • Published : 2021.12.15
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Abstract

This paper deals with a nonlinear Langevin equation involving two fractional orders with three-point boundary conditions. Our aim is to find the existence of solutions for the proposed Langevin equation by using the Banach contraction mapping principle and the Krasnoselskii's fixed point theorem. Three examples are also given to show the significance of our results.

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Acknowledgement

This work was supported by Thammasat University Research Unit in Fixed Points and Optimization.

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