On some properties of an epidemiological delay integral equation

2016 ◽  
Author(s):  
Manuel De la Sen
Keyword(s):  
Integral Equation ◽  
Delay Integral Equation

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

2016 ◽  
Vol 14 (1) ◽  
pp. 237-246 ◽  
Author(s):  
Nasrin Eghbali ◽  
Vida Kalvandi ◽  
John M. Rassias
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fractional Order ◽  
Fractional Integral ◽  
Compact Interval ◽  
Ulam Stability ◽  
Fixed Point Approach ◽  
Delay Integral Equation ◽  
Fractional Integral Equation

AbstractIn 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.

scholarly journals The limits of solutions of a linear delay integral equation

2020 ◽  
Vol 25 (8) ◽  
pp. 3033-3048
Author(s):  
Kazuki Himoto ◽  
◽  
Hideaki Matsunaga
Keyword(s):  
Integral Equation ◽  
Delay Integral Equation ◽  
Linear Delay
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