Monotone Iterative Technique for Nonlinear Impulsive Conformable Fractional Differential Equations With Delay

Authors

  • Chatthai Thaiprayoon Department of Mathematics, Faculty of Science, Burapha University, Chonburi, 20131
  • Sotiris K. Ntouyas Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece; Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
  • Jessada Tariboon Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800

DOI:

https://doi.org/10.26713/cma.v12i1.587

Keywords:

Boundary value problem, Conformable fractional derivative, Impulsive differential equation, Monotone iterative technique

Abstract

In this paper, we investigate the existence of solutions for boundary value problems of nonlinear impulsive conformable fractional differential equations with delay. By establishing the associate Green's function and a comparison result for the linear impulsive problem, we obtain that the lower and upper solutions converge to the extremal solutions via the monotone iterative technique. An example is also presented in the last section.

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References

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Published

31-03-2021
CITATION

How to Cite

Thaiprayoon, C., Ntouyas, S. K., & Tariboon, J. (2021). Monotone Iterative Technique for Nonlinear Impulsive Conformable Fractional Differential Equations With Delay. Communications in Mathematics and Applications, 12(1), 11–27. https://doi.org/10.26713/cma.v12i1.587

Issue

Vol. 12 No. 1 (2021)

Section

Research Article

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