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167 results for “integral”
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Research ArticleOpen accessIn the keywordsDynamics Modelling of a Plate Vibrating in a Perfect FluidBouarroudj Nadra, Belaib LekhmissiWe deal with the interaction problem of a plate vibrating within a perfect fluid. We establish the equations describing the dynamics behaviour of the plate using the general equations of the elasto-dynamic. The fluid flow described by the equation of Euler’s low amplitude. We presented results of the existence, the unicity and the regularity of the problem verified by the … …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 6,896 accessesView PDFCite
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 keywordsPressure-sensitivity Effects on Toughness Measurements of Compact Tension Specimens for Strain-hardening SolidsAbdulhamid A. Al-AbduljabbarThe path-independent J-integral is used as a fracture prediction criterion for loading beyond the elastic limit as Linear Elastic Fracture Mechanics (LEFM) cannot be applied. While J was originally defined from an energy perspective, it was demonstrated that it could be inferred from load-displacement diagrams. Therefore, the Compact Tension (CT) specimen testing is used to compute J for materials. In … …American Journal of Applied Sciences, Vol. 2, Issue 9 · 30 Sep 2005 · 6,657 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 keywordsOn the Verification of the MultiverseThomas StenersenEverett, H. (1957). “Relative State” Formulation of Quantum Mechanics. Reviews of Modern Physics, 29(3), 454–462. https://doi.org/10.1103/revmodphys.29.454 Page, D. N. (2005). The lifetime of the universe. Journal of the Korean Physical Society, 49(2006), 711–714. https://doi.org/10.48550/arXiv.hep-th/0510003 Schrödinger, E. (1935). Die gegenwärtige Situation in der Quantenmechanik. Naturwissenschaften, 23(50), 844–849. https://doi.org/10.1007/bf01491987 Schwartz, M. D. (2014). Quantum Field Theory and the Standard Model. Cambridge University … …Physics International, Vol. 13, Issue 1 · 29 Nov 2022 · 8,352 accessesView PDFCite
Research ArticleOpen accessIn the keywordsMeasurable Functional Calculi and Spectral TheoryMykola YaremenkoIn this article, the spectral theory is considered, we study the spectral families and their correspondence to the operators on the reflexive Banach spaces; assume A is a well-bounded operator on reflexive Lebesgue spaces then the operator A is a scalar type spectral operator. The main goals are to obtain the characterization of the well-bounded operators in the terms of … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 6 Jul 2022 · 6,419 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 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 abstractComparison of an AI-Based Controller for a Positive Output Superlift DC-DC ConverterRicha Adlakha, Ashish Grover, Neha Chaudhary et al.DC-DC converters have emerged as crucial components in various industrial applications and form an integral part of power supplies based on switch-mode. Solar energy has garnered increasing significance owing to the scarcity of non-renewable fuels and its abundant availability. Photovoltaic (PV) technology, characterized by the arrangement of numerous series and parallel-connected PV cells within modules, generates DC output. Consequently, the … …Journal of Computer Science, Vol. 22, Issue 2 · 17 Feb 2026 · 1,542 accessesView PDFCite