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2018
2
1
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A quasilinearization technique for the solution of singularly perturbed delay differential equation
A quasilinearization technique for the solution of singularly perturbed delay differential equation
en
en
This study deals with the singularly perturbed initial value
problems for a quasilinear first-order delay differential
equation. A quasilinearization technique for the appropriate delay
differential problem theoretically and experimentally analyzed. The
parameter uniform convergence is confirmed by numerical
computations.
1
7
Fevzi
Erdogan
Mehmet
Giyas Sakar
Delay differential equation
singular perturbation
finite difference scheme
piecewise-uniform mesh
quasilinearization technique
Article.1.pdf
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Stability of non-monotone critical waves in a population dynamics model with spatio-temporal delay
Stability of non-monotone critical waves in a population dynamics model with spatio-temporal delay
en
en
This paper, we show the stability of non-monotone critical waves by a anti-weighted method for a kind of non-monotone time-delayed reaction-diffusion equations including Nicholson's blowflies equation which describes the population dynamics of a single species with age structure.
8
23
Yong-Hui
Zhou
Yun-Rui
Yang
Hong-Juan
Zhang
Delay
critical waves
anti-weighted method
stability
Article.2.pdf
[
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Subordination properties of \(p\)-valent functions involving the generalized hypergeometric functions
Subordination properties of \(p\)-valent functions involving the generalized hypergeometric functions
en
en
In the present paper, using principle of differential subordination, we investigate some interesting properties of certain subclasses of \(p\)-valent functions which are defined by linear operator involving the generalized hypergeometric functions.
24
32
Anessa
Oshah
Maslina
Darus
Differential subordination
\(p\)-valent functions
Hadamard product
hypergeometric functions
Article.3.pdf
[
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Analytic study for a fractional model of HIV infection of \(CD4^{+}T\) lymphocyte cells
Analytic study for a fractional model of HIV infection of \(CD4^{+}T\) lymphocyte cells
en
en
In this article, we implemented homotopy transform methods, namely, homotopy analysis transform method and homotopy perturbation Sumudu transform method to examine the fractional model for HIV infection of \(CD4^{+} T\) lymphocyte cells. Proliferation of \(CD4^{+} T\) lymphocyte cells is driven by a combination of the homeostatic response to cells depletion (\(CD4^{+} T\) cells counts) and viral load (HIV levels). The attraction of both the methods is that an approach of HPSTM is used and on other hand by HATM a large admissible convergence range of series solution is described for standard as well as fractional order nonlinear problems.
33
43
Hasan
Bulut
Devendra
Kumar
Jagdev
Singh
Ram
Swroop
Haci Mehmet
Baskonus
Homotopy perturbation Sumudu transform method
Laplace transform method
Homotopy analysis transform method
fractional model for HIV infection of \(CD4^{+}T\) lymphocyte cells
\(\hbar\)-curves
Article.4.pdf
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Towards the reverse engineering of UML sequence diagrams for multithreaded java software
Towards the reverse engineering of UML sequence diagrams for multithreaded java software
en
en
The behavior of multithreaded system's runtime is often more complex than the behavior of a single threaded system because of parallel execution and interactions between multiple threads. Hence, understanding the behavior of this system is primordial. Unfortunately, in real world, the source code of such systems is often missing or having an outdated documentation. An effective recognition technique to understand them is reverse engineering. In this paper, we present an ongoing work on extracting UML diagram models from object-oriented programming languages. We propose a dynamic analysis approach for the reverse engineering of UML sequence diagram of multithreaded systems. Our method based on petri nets shows that this approach can produce UML sequence diagram in reasonable time and suggests that these diagrams are helpful to understand the behavior of the underlying systems.
44
50
Chafik
Baidada
Bouziane
El Mahi
Abdeslam
Jakimi
Software development
multithreading
reverse engineering
UML behavior
execution traces
Article.5.pdf
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