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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

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  • Boulkhairy Sy
  • Abass Sow
  • Cheikh Seck

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.

Suggested Citation

  • Boulkhairy Sy & Abass Sow & Cheikh Seck, 2025. "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," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2025, pages 1-11, November.
    • Handle: RePEc:hin:jijmms:2249500
    DOI: 10.1155/ijmm/2249500
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