A New Approach to the Study of the Existence and Uniqueness of Mild Solutions for an Evolving System by Using Fractional Derivatives in the Deformable Sense

Boulkhairy Sy, Abass Sow and Cheikh Seck

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-11

Abstract: In this work, we study the existence and uniqueness of mild solutions for linear and semilinear control systems using the new deformable fractional derivative. The results have been obtained and presented using the deformable Laplace transform and its inverse, as well as the theory of semigroups and a rigorous application of Banach’s fixed-point theorem. Examples will be provided toward the end, and the obtained solutions will be simulated in Python to illustrate the theoretical results of the work.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ijmms/2025/2249500.pdf (application/pdf)
http://downloads.hindawi.com/journals/ijmms/2025/2249500.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:2249500

DOI: 10.1155/ijmm/2249500

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().