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Sbornik: Mathematics, 2018, Volume 209, Issue 9, Pages 1337–1350
DOI: https://doi.org/10.1070/SM8958 (Mi sm8958) 		 
This article is cited in 17 scientific papers (total in 17 papers)

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

A. U. Kh. Niazia, J. Weia, M. Rehmanb, P. Denghaoa

a 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
English version PDF (478 kB) Citations (17)
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DOI: https://doi.org/10.1070/SM8958
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.
Funding agency Grant number
National Natural Science Foundation of China 11371027
11471015
11601003
This research was supported by the National Natural Science Foundation of China (grant nos. 11371027, 11471015 and 11601003).
Received: 17.04.2017 and 03.07.2017
Russian version:
Matematicheskii Sbornik, 2018, Volume 209, Number 9, Pages 87–101
DOI: https://doi.org/10.4213/sm8958
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 34K37, 34B15
Language: English
Original paper language: Russian
Citation: A. U. Kh. Niazi, J. Wei, M. Rehman, P. Denghao, “Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations”, Mat. Sb., 209:9 (2018), 87–101; Sb. Math., 209:9 (2018), 1337–1350
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
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