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An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials
Springer Science and Business Media LLC - Tập 34 - Trang 831-846 - 2014
In this paper, we present a method for solving a class of fractional optimal control problems with time delay. The method is based upon the Bernstein polynomial basis. The main reason of using this technique is the efficiency and simple application of Bernstein polynomials in dealing with dynamical systems, which contains constant delay. In this work, we use the fractional derivative in Caputo sen...... hiện toàn bộ
A spline collocation method for a fractional mobile–immobile equation with variable coefficients
Springer Science and Business Media LLC - Tập 39 - Trang 1-20 - 2019
The Crank–Nicolson orthogonal spline collocation (OSC) methods are considered for approximate solution of the variable coefficient fractional mobile–immobile equation. The convection, diffusion, and reaction coefficients can depend on both the spatial and temporal variables, simultaneously. Combining with Crank–Nicolson scheme and weighted and shifted Grünwald difference approximation in time, we ...... hiện toàn bộ
Robust optimization approach to capacitated single and multiple allocation hub location problems
Springer Science and Business Media LLC - Tập 35 - Trang 45-60 - 2014
Hub location problem is one of the new emerging and prosperous areas in the classical facility location theory. As a part of the decision-making process, supply chain managers of organizations and companies must pay special attention to these issues. In strategic planning, decisions have long-term effects and program implementation will take a long time. Hence, in the decisions taken, uncertainty ...... hiện toàn bộ
Some new aspects of main eigenvalues of graphs
Springer Science and Business Media LLC - Tập 39 - Trang 1-14 - 2019
An eigenvalue of the adjacency matrix of a graph is said to be main if the all-1 vector is non-orthogonal to the associated eigenspace. This paper explores some new aspects of the study of main eigenvalues of graphs, investigating specifically cones over strongly regular graphs and graphs for which the least eigenvalue is non-main. In this case, we characterize paths and trees with diameter-3 sati...... hiện toàn bộ
Relationships between two pairs of covering approximation operators and belief structures
Springer Science and Business Media LLC - Tập 41 - Trang 1-20 - 2022
As two mathematical tools for dealing with uncertainty, the covering rough set theory and the evidence theory have close relationships with each other. Different covering rough set models are characterized by evidence theory. The purpose of this paper is to interpret belief functions with two pairs of covering approximation operators. The two pairs of covering approximation operators are equivalen...... hiện toàn bộ
The existence of fuzzy Dedekind completion of Archimedean fuzzy Riesz space
Springer Science and Business Media LLC - Tập 39 - Trang 1-15 - 2020
The fuzzy Riesz space is an attempt to study vector spaces with fuzzy ordering to model scenarios of more vague nature. The aim of this paper is to prove the existence of fuzzy Dedekind completion, whereas to achieve this goal, other related concepts like fuzzy order convergence, fuzzy positive operators, and their related results are also explored to enrich the theory of fuzzy Riesz spaces.
Levenberg-marquardt revisited and parameter tuning of river regression models
Springer Science and Business Media LLC - Tập 43 - Trang 1-24 - 2023
The Levenberg-Marquardt method is well known for solving nonlinear least squares problems. This method is mostly used in the context of overdetermined systems. In this paper it is shown that suitable implementations with respect to underdetermined systems can be defined. The resulting method is equipped with a new effective non-monotone strategy and it is proved that, when the residual tends to ze...... hiện toàn bộ
An improved numerical iterative method for solving nonlinear fuzzy Fredholm integral equations via Picard’s method and generalized quadrature rule
Springer Science and Business Media LLC - Tập 40 Số 6 - 2021
Mô hình toán học về khai thác cây trong rừng có cấu trúc tuổi bị nhiễm bọ cánh cứng Dịch bởi AI
Springer Science and Business Media LLC - Tập 37 - Trang 3365-3384 - 2017
Trong bài báo này, chúng tôi khảo sát một mô hình toán học cho tương tác giữa rừng và bọ cánh cứng có cấu trúc tuổi, bao gồm cả việc khai thác cây. Mục tiêu là mở rộng hiểu biết về các hiệu ứng hợp tác của việc khai thác và sự nhiễm bọ đối với cấu trúc tuổi của các khu rừng và lợi ích từ khai thác. Ở phần đầu của nghiên cứu này, chúng tôi xem xét các kịch bản khác nhau về sự nhiễm bọ của rừng và n...... hiện toàn bộ
#mô hình toán học #cây #rừng #bọ cánh cứng #khai thác cây #cấu trúc tuổi
Numerical solutions of fractional delay differential equations using Chebyshev wavelet method
Springer Science and Business Media LLC - Tập 38 - Trang 1-13 - 2019
In the present research article, we used a new numerical technique called Chebyshev wavelet method for the numerical solutions of fractional delay differential equations. The Caputo operator is used to define fractional derivatives. The numerical results illustrate the accuracy and reliability of the proposed method. Some numerical examples presented which have shown that the computational study c...... hiện toàn bộ
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