On a sequence of Caputo fractional differential equations with an integral condition

Authors

  • Guelma University
  • University Badji Mkhtar Annaba
  • University Larbi Ben M’Hidi Oum El Bouaghi

Abstract

This paper deals with the existence of positive solutions for a sequence of caputo fractional differential equation. By the application of Guo-Krasnoselskii Theorem, we prove the existence of at least one positive solution. To prove the uniqueness of solution we use Banach contraction principle. Two examples are given to verify the obtained results.

Published

2023-02-15

How to Cite

On a sequence of Caputo fractional differential equations with an integral condition. (2023). Nonlinear Studies, 30(1). https://nonlinearstudies.com/index.php/nonlinear/article/view/2787