Geodesic
Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations
Sbornik. Mathematics, Tome 209 (2018) no. 9, pp. 1337-1350

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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. 
@article{SM_2018_209_9_a3,
     author = {A. U. Kh. Niazi and J. Wei and M. Rehman and P. Denghao},
     title = {Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2018_209_9_a3/}
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A. U. Kh. Niazi; J. Wei; M. Rehman; P. Denghao. Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations. Sbornik. Mathematics, Tome 209 (2018) no. 9, pp. 1337-1350. http://geodesic.mathdoc.fr/item/SM_2018_209_9_a3/