Existence and finite-time stability results of fuzzy Hilfer-Katugampola fractional delay differential equations

Authors：Jiang, Yirong; Qiu, Jianwei^*; Meng, Fangxiu

Source：JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 44(2): 2041-2050.

DOI：10.3233/JIFS-220588

• Finite time stability
• fuzzy Hilfer-Katugampola fractional differential equations
• delay

In this article, we explore the question of existence and finite time stability for fuzzy Hilfer-Katugampola fractional delay differential equations. By using the generalized Gronwall inequality and Schauder's fixed point theorem, we establish existence of the solution, and the finite time stability for the presented problems. Finally, the effectiveness of the theoretical result is shown through verification and simulations for an example.

• Institution
  Guilin University Of Technology