This article is cited in 20 papers

Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations

A. U. Kh. Niazi^a, J. Wei^a, M. Rehman^b, P. Denghao<sup>a

a</sup> School of Mathematical Sciences, Anhui University, Hefei, Anhui, China
^b Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan

Abstract: In this paper, first we discuss two existence and uniqueness results for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivatives with respect to the Chebyshev and Bielecki norms. Second, we use the Picard operator to establish Ulam-Hyers-Mittag-Leffler stability results on a compact interval. Finally, two examples are provided to illustrate our results.
Bibliography: 29 titles.

Keywords: fractional functional differential equation, Ulam-Hyers-Mittag-Leffler stability, Bielecki norms, Chebyshev norms.

UDC: 517.929

MSC: 34K37, 34B15

Received: 17.04.2017 and 03.07.2017

DOI: 10.4213/sm8958

 English version: Sbornik: Mathematics, 2018, 209:9, 1337–1350

Bibliographic databases:

• 
• 
• 
• 
• 
•