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

• Autorzy: Nasrin Eghbali , Vida Kalvandi , John M. Rassias
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fractional order delay integral equation; Mittag-Leffler-Hyers-Ulam stability; Chebyshev norm; Bielecki norm

Kategorie tematyczne

• 45N05: Abstract integral equations, integral equations in abstract spaces
• 34D10: Perturbations
• 26A33: Fractional derivatives and integrals

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 237-246

Daty

wydano

2016-01-01

otrzymano

2015-08-01

zaakceptowano

2015-11-03

online

2016-04-23

Twórcy

autor

Nasrin Eghbali

• Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, ,

autor

Vida Kalvandi

• Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, ,

autor

John M. Rassias

• Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4 Agamemnonos Str., Aghia Paraskevi, Athens 15342, ,

Identyfikatory

DOI

10.1515/math-2016-0019