A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation
Nasrin Eghbali ; Vida Kalvandi ; John M. Rassias
Open Mathematics, Tome 14 (2016), p. 237-246 / Harvested from The Polish Digital Mathematics Library
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In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:277112 
@article{bwmeta1.element.doi-10_1515_math-2016-0019,
     author = {Nasrin Eghbali and Vida Kalvandi and John M. Rassias},
     title = {A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation},
     journal = {Open Mathematics},
     volume = {14},
     year = {2016},
     pages = {237-246},
     zbl = {1351.45010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0019}
}

Nasrin Eghbali; Vida Kalvandi; John M. Rassias. A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. Open Mathematics, Tome 14 (2016) pp. 237-246. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0019/