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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
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.
Received: 17.04.2017 and 03.07.2017
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
Linking options:
https://www.mathnet.ru/eng/sm8958https://doi.org/10.1070/SM8958 https://www.mathnet.ru/eng/sm/v209/i9/p87
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Abstract page: | 504 | Russian version PDF: | 76 | English version PDF: | 40 | References: | 48 | First page: | 18 |
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