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35 results for “integral equation”
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Research ArticleOpen accessIn the keywordsThe Solution of Heat Conduction Equation with Mixed Boundary ConditionsNaser AbdelrazaqThe study is devoted to determine a solution for a non-stationary heat equation in axial symmetric cylindrical coordinates under mixed discontinuous boundary of the first and second kind conditions, with the aid of a Laplace transform and separation of variables method used to solve the considered problem which is the dual integral equations method. …Journal of Mathematics and Statistics, Vol. 2, Issue 1 · 31 Mar 2006 · 7,815 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNumerical Ultimate Ruin Probabilities under Interest ForceJuma Kasozi, Jostein PaulsenThis work addresses the issue of ruin of an insurer whose portfolio is exposed to insurance risk arising from the classical surplus process. Availability of a positive interest rate in the financial world forces the insurer to invest into a risk free asset. We derive a linear Volterra integral equation of the second kind and apply an order four Block-by-block … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 6,491 accessesView PDFCite
Research ArticleOpen accessIn the keywordsCoupled Pettis-Hadamard Fractional Differential Systems with Retarded and Advanced ArgumentsSaïd Abbas, Mouffak Benchohra, Seenith SivasundaramIn this study, we present some results concerning the existence of weak solutions for some coupled systems of Hadamard fractional differential equations involving the both retarded and advanced arguments. Our results are obtained by using fixed point theory and the technique of measure of weak noncompactness. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 10 Feb 2018 · 7,490 accessesView PDFCite
Research ArticleOpen accessIn the keywordsExistence Results for a Class of Nonlinear Hadamard Fractional with p-Laplacian Operator Differential EquationsSamah HorrigueIn this study, we are concerned with the existence and uniqueness of solution for some nonlinear Hadamard fractional differential equations. Our results are based on different classical fixed point theorems. Some useful examples are presented in order to illustrate the validity of our main results. …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 2 Oct 2021 · 6,886 accessesView PDFCite
Research ArticleOpen accessIn the keywordsFractional Quantum Field Theory on Multifractals SetsEl-Nabulsi Ahmad RamiProblem statement: This study is a contribution to the general program of describing complex dynamical systems using the tool of fractional calculus of variations. Approach: Following our previous work, fractional quantum field theory based on the fractional actionlike variational approach supported by Saxena-Kumbhat fractional integrals functionals, fractional derivative of order (α, β) and dynamical fractional exponent on multi-fractal sets is … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 15 Mar 2011 · 7,343 accessesView PDFCite
Research ArticleOpen accessIn the abstractTransverse Velocity, Transverse Boundary Shear Stress and Flow Deviation in Meandering Open ChannelsYoussef Ismail HafezThis study presents a novel approach for characterizing the mechanics of flow in mildly meandering open channels, specifically focusing on the development of a new vertical distribution equation for transverse velocity. Unlike existing equations in the literature that rely on complex logarithmic or integral forms or infinite series forms, which are impractical for hydraulic engineers, the proposed equation employs ordinary … …American Journal of Environmental Sciences, Vol. 20, Issue 1 · 25 Jul 2024 · 5,058 accessesView PDFCite
Research ArticleOpen accessIn the abstractRBF Approximation of the Lippmann-Schwinger EquationNadaniela Egidi, Josephin Giacomini, Pierluigi MaponiWe consider the direct scattering problem that consists of the computation of the scattered wave generated by an incident plane wave and an inhomogeneous object defined in terms of the refractive index. From some suitable physical and geometrical hypotheses, this is formulated as a boundary value problem for the Helmholtz equation and, in turn, as the Lippman-Schwinger equation. For the … …Journal of Mathematics and Statistics, Vol. 19, Issue 1 · 6 Nov 2023 · 5,094 accessesView PDFCite
Research ArticleOpen accessIn the abstractUsing Linear Chouquet Integral Algorithm to Design Optimal Time-Cost Model in Large Construction ProjectsHamid Jafari Nia, Kaveh Ostad-Ali-Askari, Hamidreza BabaaliNowadays, the problem of scheduling and executing projects with the least cost and time has become one of the main concerns of project managers. In this regard, researchers have used different methods and patterns. One of these methods is to use concurrent engineering in projects. Simultaneous engineering means the creation of a project schedule for projects based on existing units … …American Journal of Engineering and Applied Sciences, Vol. 13, Issue 4 · 18 Nov 2020 · 6,686 accessesView PDFCite
Research ArticleOpen accessIn the abstractNonlinear Analysis of RC Box Culverts Resting on a Linear Elastic SoilDaniele Baraldi, Fabio Minghini, Enrico Tezzon, Nerio TulliniIn the analyses presented, the soil-structure interaction is accounted for by means of a FE-BIE approach, in which the structure is modelled with displacement-based beam finite elements, whereas the boundary between structure and substrate is described in terms of surface tractions by means of a boundary integral equation incorporating a suitable Green's function. This mixed formulation ensures full continuity between … …International Journal of Structural Glass and Advanced Materials Research, Vol. 2, Issue 1 · 8 Feb 2018 · 12,632 accessesView PDFCite
Research ArticleOpen accessIn the abstractComparing the Empirical and the Theoretical Probability Density of Return in which Variance Obeying Ornstein-Uhlenbeck Process at Indonesian Stock Exchange IDXDwi Satya Palupi, Eduardus Tandelilin, Arief Hermanto, Muhammad Farchani RosyidThe distribution of the probability density of a return index with stochastic volatility has been calculated. Here the stock index is assumed to follow geometric Brownian motion, while the variance is assumed to obey Ornstein-Uhlenbeck process as in Heston model. The distribution of the probability density of the return which is obtained by solving the Fokker-Planck equation of two dimensional … …American Journal of Applied Sciences, Vol. 14, Issue 9 · 17 May 2017 · 7,625 accessesView PDFCite