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Nasrin Eghbali, Vida Kalvandi, John M. Rassias (2016)
Open Mathematics
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.
Jung, Soon-Mo (2007)
Fixed Point Theory and Applications [electronic only]
Buşe, Constantin, Jitianu, Oprea (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Piermarco Cannarsa, Daniela Sforza (2008)
Applicationes Mathematicae
We study second order nonlinear integro-differential equations in Hilbert spaces with weakly singular convolution kernels obtaining energy estimates for the solutions, uniform in t. Then we show that the solutions decay exponentially at ∞ in the energy norm. Finally, we apply these results to a problem in viscoelasticity.
Choulli, M. (1991)
Journal of Applied Mathematics and Stochastic Analysis
El-Sayed, M.A. (1994)
International Journal of Mathematics and Mathematical Sciences
El-Doma, M. (2004)
Journal of Applied Mathematics
William E. Fitzgibbon (1988)
Czechoslovak Mathematical Journal
Katarzyna Pichór (1998)
Annales Polonici Mathematici
We study the asymptotic behaviour of the Markov semigroup generated by an integro-partial differential equation. We give new sufficient conditions for asymptotic stability of this semigroup.
Danuta Jama (1986)
Annales Polonici Mathematici
Kaim, Sebastian J. (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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