Progress in Fractional Differentiation & Applications
Article Title
Existence of Extremal Solutions for Caputo Fractional Differential Equations with Bounded Delay
Abstract
In this paper we study Caputo fractional differential equations with bounded delay. By finding lower and upper solutions of the problem, we develop two generalized monotone methods in which we construct a decreasing sequence that converges uniformly and monotonically to a minimal solution, and a decreasing sequence that converges uniformly and monotonically to a maximal solution. We finish this work by illustrating our results with an example.
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/pfda/090311
Recommended Citation
Diego Ram ́ırez, Juan
(2023)
"Existence of Extremal Solutions for Caputo Fractional Differential Equations with Bounded Delay,"
Progress in Fractional Differentiation & Applications: Vol. 9:
Iss.
3, Article 11.
DOI: http://dx.doi.org/10.18576/pfda/090311
Available at:
https://digitalcommons.aaru.edu.jo/pfda/vol9/iss3/11