HYERS-ULAM STABILITY FOR NONLOCAL DIFFERENTIAL EQUATIONS

DOI: 10.18173/2354-1059.2020-0041

  • Nguyen Van Dac
  • Pham Anh Toan

Tóm tắt

In this paper, we present a result on Hyers-Ulam stability for a class of nonlocal differential equations in Hilbert spaces by using the theory of integral equations with completely positive kernels together with a new Gronwall inequality type. The paper develops some recent results on fractional differential equations to the ones involving general nonlocal derivatives. Instead of Mittag-Leffler functions, we must utilize the characterization of relaxation function. 

điểm /   đánh giá
Phát hành ngày
2021-05-10
In ra
Tập. 10 Số. 65 (2020)
Chuyên mục
BAI BÁO