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Articles 1 - 8 of 8
Full-Text Articles in Physical Sciences and Mathematics
The Symmetric Positive Solutions Of Four-Point Problems For Nonlinear Boundary Value Second-Order Differential Equations, Qu Haidong
qu haidong
In this paper, we are concerned with the existence of symmetric positive solutions for second-order differential equations. Under the suitable conditions, the existence and symmetric positive solutions are established by using Krasnoselskii’s fixed-point theorems.
Comparison Between Direct Quadrature Method Of Moments And The Method Of Classes For Bubbly Flow, Brahim Selma, Rachid Bannari, Pierre Proulx
Comparison Between Direct Quadrature Method Of Moments And The Method Of Classes For Bubbly Flow, Brahim Selma, Rachid Bannari, Pierre Proulx
Rachid BANNARI
No abstract provided.
Research On Fractal Mathematics And Some Application In Mechanics, Yang Xiaojun
Research On Fractal Mathematics And Some Application In Mechanics, Yang Xiaojun
Xiao-Jun Yang
Since Mandelbrot proposed the concept of fractal in 1970s’, fractal has been applied in various areas such as science, economics, cultures and arts because of the universality of fractal phenomena. It provides a new analytical tool to reveal the complexity of the real world. Nowadays the calculus in a fractal space becomes a hot topic in the world. Based on the established definitions of fractal derivative and fractal integral, the fundamental theorems of fractal derivatives and fractal integrals are investigated in detail. The fractal double integral and fractal triple integral are discussed and the variational principle in fractal space has …
A Coupled Cfd-Kinetic Models For Cellulase Production In Airlift Reactor, Rachid Bannari, Abdelfettah Bannari, Brahim Selma, Pierre Proulx
A Coupled Cfd-Kinetic Models For Cellulase Production In Airlift Reactor, Rachid Bannari, Abdelfettah Bannari, Brahim Selma, Pierre Proulx
Rachid BANNARI
Cellulase production provides a catalyst for cellulose hydrolysis to glucose, to be used for eventual production of ethanol. The transport of reactants may influence the reaction rate remarkably, for the biological reaction, especially the enzymatic reaction, The transport behavior of the components in a biological system should be considered in the model. In this work, we propose a coupled model between hydrodynamics (twoPhaseEuler- Foam) and a kinetic model for batch and fed-batch cellulase enzyme production by T. reesei from cellulose/lactose substrate which is constructed from literature concepts and laboratory data. Good agreement is obtained between the results and experimental data.
Numerical Solution Of Fuzzy Differential Inclusion By Euler Method, E. Babolian, Saeid Abbasbandy, M. Alavi
Numerical Solution Of Fuzzy Differential Inclusion By Euler Method, E. Babolian, Saeid Abbasbandy, M. Alavi
Saeid Abbasbandy
In this paper we introduce Euler method for solving one dimensional fuzzy differential inclusions. Fuzzy reachable set can be approximated by Euler method with complete analysis.
Fixed Point Method For Solving Fuzzy Nonlinear Equations, Saeid Abbasbandy, Ahmad Jafarian
Fixed Point Method For Solving Fuzzy Nonlinear Equations, Saeid Abbasbandy, Ahmad Jafarian
Saeid Abbasbandy
In this paper, we propose the numerical soluiton for a fuzzy nonlinear equation by fixed point method.
The Fundamentals Of Local Fractional Derivative Of The One-Variable Non-Differentiable Functions, Yang Xiaojun
The Fundamentals Of Local Fractional Derivative Of The One-Variable Non-Differentiable Functions, Yang Xiaojun
Xiao-Jun Yang
Based on the theory of Jumarie’s fractional calculus, local fractional derivative is modified in detail and its fundamentals of local fractional derivative are proposed in this paper. The uniqueness of local fractional derivative is obtained and the Rolle’s theorem, the mean value theorem, the Cauchy’s generalized mean value theorem and the L’Hospital’s rules are proved.
Local Fractional Newton’S Method Derived From Modified Local Fractional Calculus, Yang Xiao-Jun
Local Fractional Newton’S Method Derived From Modified Local Fractional Calculus, Yang Xiao-Jun
Xiao-Jun Yang
A local fractional Newton’s method, which is derived from the modified local fractional calculus , is proposed in the present paper. Its iterative function is obtained and the convergence of the iterative function is discussed. The comparison between the classical Newton iteration and the local fractional Newton iteration has been carried out. It is shown that the iterative value of the local fractional Newton method better approximates the real-value than that of the classical one.