Pontryagin Maximum Principle for Fractional Delay Differential Equations and Controlled Weakly Singular Volterra Delay Integral Equations

• Jasarat J. Gasimov ^[1] ; Javad A. Asadzade ^[1] ; Nazim I. Mahmudov ^[2]
  1. [1] Eastern Mediterranean University

     Eastern Mediterranean University

     Chipre

     
  2. [2] Eastern Mediterranean University & Azerbaijan State University of Economics (UNEC)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 5, 2024
• Idioma: inglés
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• Resumen

  • This article explores two distinct issues. To begin with, we analyze the Pontriagin maximum principle concerning fractional delay differential equations. Furthermore, we investigate the most effective method for resolving the control problem associated with Eq. (1.1) and its corresponding payoff function (1.2). Subsequently, we explore the Pontryagin Maximum principle within the framework of Volterra delay integral equations (1.3).We enhance the outcomes of our investigation by presenting illustrative examples towards the conclusion of the article.