Revistas académicas de la Universidad Católica del Norte
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State analysis of time-varying singular nonlinear systems using Legendre wavelets
No full textIn this paper, the Legendre wavelet method for State analysis of time-varying singular nonlinear systems is studied. The properties of Legendre wavelets and its operational matrices are first presented and then are used to convert into algebraic equations. Also the convergence and error analysis for the proposed technique have been discussed. Illustrative examples have been given to demonstrate the validity and applicability of the technique. The efficiency of the proposed method has been compared with Haar wavelet method and it is observed that the Legendre wavelet method is more convenient than the Haar wavelet method in terms of applicability, efficiency, accuracy, error, and computational effort
Fuzzy para - Lindelof spaces
No full textIn this paper we introduce the concept of Para-Lindelof spaces in L-topological spaces by means of locally countable families of L-fuzzy sets. Further some characterizations of fuzzy para-Lindelofness and flintily para-Lindelofness in the weakly induced L-topological spaces are also obtained. More over the behavior of fuzzy para-Lindelof spaces under various types of maps such as fuzzy closed maps, fuzzy perfect maps are also investigated
M-fuzzifying bases
No full textIn this paper, we continue the study of M-fuzzifying matroids. We define the notion of an M-fuzzifying base and discuss some properties of the dual matroids of basic M-fuzzifying matroids
Existence of solutions for a nonlinear fractional system with nonlocal boundary conditions
No full textIn this paper, we use fixed point theorems to prove the existence and uniqueness of solution for a nonlinear fractional system with boundary conditions. At the end we present two examples illustrating the obtained results
Ulam stability of delay dynamic equations on time scales
No full textIn the present manuscript, we discuss the Ulam stability of delay dynamic equations on time scales. We get some stability requirements by using a fixed point alternative on complete generalized metric spaces. To illustrate the effectiveness and benefit of the proven results, an example is provided. Our findings extend some related findings in the literature
Existence of entropy solutions for some non-coercive strongly nonlinear elliptic problems in an unbounded domain
No full textA modified Turing model for the pattern formation model
No full textThe linear model introduced by Turing for pattern formation, known as the Turing bifurcation, is one of the most extensively studied mathematical programming problems in this field.\\ In this paper, we address a nonlinear reaction-diffusion model for pattern formation. Firstly, we demonstrate the bifurcation of this model in the Turing sense. Secondly, we employ a modified equation to stabilize the equations and investigate the instability of the Turing pattern. Finally, we provide several numerical test cases that validate the effectiveness of our modification
Solvability of a mixed fractional hybrid Cauchy problem by mean of Krasnoselskii-Dhage type fixed point theorem
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