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1
Content available On Application of the Contraction Principle to Solve the Two-Term Fractional Differential Equations
100%
Błasik M. , Klimek M.
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tom Vol. 5, no. 2
5-10
EN
We solve two-term fractional differential equations with left-sided Caputo derivatives. Existence-uniqueness theorems are proved using newly-introduced equivalent norms/metric on the space of continuous functions. The metrics are modified in such a way that the space of continuous functions is complete and the Banach theorem on a fixed point can be applied. It appears that the general solution is generated by the stationary function of the highest order derivative and exists in an arbitrary interval [0,b].
2
Content available Approximation of Fractional Diffusion-Wave Equation
75%
Mitkowski W.
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tom Vol. 5, no. 2
65-68
EN
In this paper we consider the solution of the fractional differential equations. In particular, we consider the numerical solution of the fractional one dimensional diffusion-wave equation. Some improvements of computational algorithms are suggested. The considerations have been illustrated by examples.
3
Content available remote Architecture of iterative solvers for hp-adaptive finite element codes
75%
Płaszewski P. , Banaś K. , Paszyński M.
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tom Vol. 20, no. 1
43--54
EN
We present a layered architecture for iterative solvers of linear equations, designed to allow for easy integration with existing hp-adaptive FEM codes. We discuss interfaces between a solver and an external FEM code and requirements for the FEM code that must be met in order to work with the solver. Our solution is suited to work effectively with stationary as well as time-dependent problems. In this article, we provide an overview of the layered solver's structure and modules of each layer. In subsequent articles, we will present specific implementations of particular layers.
4
Content available remote Monotone iterative technique for non-autonomous semilinear differentia equations with nonlocal condition
63%
Meraj A. , Pandey D. N.
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2019
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tom Vol. 52, nr 1
29--39
EN
The objective of this article is to discuss the existence and uniqueness of mild solutions for a class of non-autonomous semilinear differential equations with nonlocal condition via monotone iterative method with upper and lower solutions in an ordered complete norm space X, using evolution system and measure of noncompactness.
5
Content available Singular Fractional Continuous-Time and Discrete-Time Linear Systems
51%
Kaczorek T.
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tom Vol. 7, no. 1
26-33
EN
New classes of singular fractional continuous-time and discrete-time linear systems are introduced. Electrical circuits are example of singular fractional continuous-time systems. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and Laplace transformation the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional systems if it contains at least one mesh consisting of branches with only ideal supercondensators and voltage sources or at least one node with branches with supercoils. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional discrete-time linear systems is derived. The considerations are illustrated by numerical examples.
6
Content available Ustanie stosunku pracy nauczyciela akademickiego
51%
Daniluk P.
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nr XXI
455-464
EN
The subject of the article is an analysis of changes in the procedure in which the termination and expiry of the employment relationship of academic teachers takes place on the basis of the Act on Higher Education and the Act on Higher Education and Science replacing this act. On the basis of the repealed act the employment relationship with academic teachers was established on the basis of an appointment or an employment contract. Depending on the basis for establishing the employment relationship, the issues of the possibility of terminating the employment relationship with an academic teacher were also different. The result of the introduction of new regulations on termination of the employment relationship of an academic teacher is the equalization of the situation of appointed and contract teachers in this respect, and thus weakening the protection against termination of employment of appointed teachers.
PL
Przedmiotem artykułu jest analiza zmian w zakresie przesłanek oraz trybu, w jakim następuje rozwiązanie i wygaśnięcie stosunku pracy nauczycieli akademickich na gruncie ustawy Prawo o szkolnictwie wyższym i zastępującej ten akt ustawy Prawo o szkolnictwie wyższym i nauce. Nawiązanie stosunku pracy z nauczycielami akademickimi na gruncie uchylonej ustawy następowało na podstawie mianowania lub umowy o pracę. W zależności od podstawy nawiązania stosunku pracy odmiennie prezentowały się również kwestie możliwości rozwiązania stosunku pracy z nauczycielem akademickim. Skutkiem wprowadzenia nowych regulacji w przedmiocie zakończenia stosunku pracy nauczyciela akademickiego jest zrównanie w tym zakresie sytuacji nauczycieli mianowanych i kontraktowych i tym samym osłabienie ochrony przed rozwiązaniem stosunku pracy nauczycieli mianowanych.
7
Content available remote Harmonizing IT Frameworks and Agile Methods: Challenges and Solutions for the case of COBIT and Scrum
51%
Ozkan N. , Kolukisa Tarhan A. , Gören B. , Filiz İ. , Özer E.
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tom Vol. 21
709--719
EN
Information Technology (IT) is a complex domain. In order to properly manage IT related processes, several frameworks including ITIL (Information Technologies Infrastructure Library), COBIT (Control OBjectives for Information and related Technologies), IT Service CMMI (IT Service Capability Maturity Model) and many others have emerged in recent decades. Meanwhile, the prevalence of Agile methods has increased, posing the coexistence of Agile approach with different IT frameworks already adopted in organizations. More specifically, the pursuit of being agile in the area of digitalization pushes organizations to go for agile transformation while preserving full compliance to IT frameworks for the sake of their survival. The necessity for this coexistence, however, brings its own challenges and solutions for harmonizing the requirements of both parties. In this paper, we focus on harmonizing the requirements of COBIT and Scrum in a same organization, which is especially challenging when a full compliance to COBIT is expected. Therefore, this study aims to identifying the challenges of and possible solutions for the coexistence of Scrum and COBIT (version 4.1 in this case) in an organization, by considering two case studies: one from the literature and the case of Akbank delivered in this study. Thus, it extends the corresponding previous case study from two points: adds one more case study to enrich the results from the previous case study and provides more opportunity to make generalization by considering two independent cases.
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