An effective numerical method and its utilization to solution of fractional models used in bioengineering applications.
Petráš, Ivo (2011)
Advances in Difference Equations [electronic only]
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Petráš, Ivo (2011)
Advances in Difference Equations [electronic only]
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Machado, J.A.Tenreiro (2011)
Advances in Difference Equations [electronic only]
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Dahmani, Z., Mesmoudi, M.M., Bebbouchi, R. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Molliq, R.Yulita, Noorani, M.S.M., Ahmad, R.R., Alomari, A.K. (2011)
International Journal of Differential Equations
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Yuji Liu, Pinghua Yang (2014)
Applicationes Mathematicae
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The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term...
Khan, Najeeb Alam, Jamil, Muhammad, Ara, Asmat, Khan, Nasir-Uddin (2011)
Advances in Difference Equations [electronic only]
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Emile Franc Doungmo Goufo, Stella Mugisha (2015)
Open Mathematics
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Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number. Furthermore, the bounded perturbation theorem presented in (Pazy, 1983) is not in general true in solution operators theory for models of fractional order γ (with 0 < γ ≤ 1). In this article, we introduce and study a model that can be...
Helena Musielak (1973)
Colloquium Mathematicae
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Branislav Martić (1973)
Publications de l'Institut Mathématique
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