A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

Nasrin Eghbali, Vida Kalvandi, and John M. Rassias. "A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation." Open Mathematics 14.1 (2016): 237-246. <http://eudml.org/doc/277112>.

@article{NasrinEghbali2016,
abstract = {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.},
author = {Nasrin Eghbali, Vida Kalvandi, John M. Rassias},
journal = {Open Mathematics},
keywords = {Fractional order delay integral equation; Mittag-Leffler-Hyers-Ulam stability; Chebyshev norm; Bielecki norm; fractional-order delay integral equation},
language = {eng},
number = {1},
pages = {237-246},
title = {A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation},
url = {http://eudml.org/doc/277112},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Nasrin Eghbali
AU - Vida Kalvandi
AU - John M. Rassias
TI - A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 237
EP - 246
AB - 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.
LA - eng
KW - Fractional order delay integral equation; Mittag-Leffler-Hyers-Ulam stability; Chebyshev norm; Bielecki norm; fractional-order delay integral equation
UR - http://eudml.org/doc/277112
ER -