Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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HYERS-ULAM AND HYERS-ULAM RASSIAS STABILITY OF CAPUTO FRACTIONAL LINEAR DIFFERENTIAL EQUATIONS

  • Alaa E. Hamza (Department of Mathematics Faculty of Science Cairo University) ;
  • Karima M. Oraby (Department of Mathematics College of Science and Humanities in Al-Kharj Prince Sattam Bin Abdulaziz University and Department of Mathematics and Computer Science Faculty of Science Suez University)
  • Received : 2024.11.24
  • Accepted : 2025.07.02
  • Published : 2025.10.31
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Abstract

In this paper, we obtain new sufficient conditions for the existence and uniqueness of solutions of Caputo fractional linear differential equations, via Banach fixed point theorem. Then, we investigate Hyers-Ulam and Hyers-Ulam-Rassias stability for such equations. Finally, two illustrative examples are given to show the applicability of the theoretical results.

Keywords

Acknowledgement

This work was financially supported by Prince Sattam Bin Abdulaziz University. The authors extend their appreciation to Prince Sattam bin Abdulaziz University for funding this research work.

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