Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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EXISTENCE AND UNIQUENESS OF A SOLUTION FOR FIRST ORDER NONLINEAR LIOUVILLE-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

  • Nanware, J.A. (Department of Mathematics, Shrikrishna Mahavidyalaya) ;
  • Gadsing, Madhuri N. (Department of Mathematics, Jawahar Arts, Science and Commerce College)
  • Received : 2020.09.06
  • Accepted : 2021.04.11
  • Published : 2021.12.15
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Abstract

In this paper, first order nonlinear Liouville-Caputo fractional differential equations is studied. The existence and uniqueness of a solution are investigated by using Krasnoselskii and Banach fixed point theorems and the method of lower and upper solutions. Finally, an example is given to illustrate our results.

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References

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