Browsing by Author "Alzabut, Jehad O."

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Citation - WoS: 35
Citation - Scopus: 35
On existence of a globally attractive periodic solution of impulsive delay logarithmic population model
(Elsevier Science inc, 2008) Alzabut, Jehad; Alzabut, Jehad O.; Abdeljawad, Thabet; Abdeljawad, Thabet; Matematik
In this paper, it is shown that a logarithmic population model which is governed by impulsive delay differential equation has a globally attractive periodic solution. (c) 2007 Elsevier Inc. All rights reserved.
Citation - WoS: 3
Citation - Scopus: 2
Perron-type criterion for linear difference equations with distributed delay
(Hindawi Ltd, 2007) Alzabut, Jehad; Alzabut, Jehad O.; Abdeljawad, Thabet; Abdeljawad, Thabet; Matematik
It is shown that if a linear difference equation with distributed delay of the form Delta x(n) = Sigma(0)(k=-d)Delta(k)zeta(n + 1, k - 1)x(n + k - 1), n >= 1, satisfies a Perron condition then its trivial solution is uniformly asymptotically stable. Copyright (c) 2007 J. O. Alzabut and T. Abdeljawad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation - WoS: 41
Citation - Scopus: 39
The Q-Fractional Analogue for Gronwall-Type Inequality
(Hindawi Publishing Corporation, 2013) Abdeljawad, Thabet; Abdeljawad, Thabet; Alzabut, Jehad O.; Alzabut, Jehad; Matematik
We utilize q-fractional Caputo initial value problems of order 0 < alpha <= 1 to derive a.. -analogue for Gronwall-type inequality. Some particular cases are derived where q-Mittag-Leffler functions and q-exponential type functions are used. An example is given to illustrate the validity of the derived inequality.