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11.
Fatiha Mesdoui Nabil Shawagfeh Adel Ouannas 《Mathematical Methods in the Applied Sciences》2021,44(1):1003-1012
This study considers the problem of control and synchronization between fractional‐order and integer‐order, N‐components reaction‐diffusion systems with nonidentical coefficients and different nonlinear parts. The control scheme is designed using the Lyapunov direct method. The results are exemplified by two significant biochemical models, namely, the fractional‐order Lengyel‐Epstein model and the Gray‐Scott model. To illustrate the effectiveness of the proposed scheme, numerical simulations are performed in one and two space dimensions using Homotopy Analysis Method (HAM). 相似文献
12.
In this paper, a problem which arises in a class of viscoelasticity is considered. We obtain the decay rate of the energy, for certain class of relaxation functions not necessarily exponentially or polynomially decaying to zero. 相似文献
13.
Anion Directed Self‐Assembly of One‐Dimensional and Two‐Dimensional Coordination Polymers Containing Bridging Diphosphine Ligands 下载免费PDF全文
Omar Bin Shawkataly Nur Fatiha Amat Sani Mohd. M. Rosli Mohd. R. Razali 《无机化学与普通化学杂志》2016,642(5):419-423
The reactions of 1,2‐bis(diphenylphosphanyl)ethane (dppe) with different silver(I) salts facilitated the formation of 1D and 2D coordination polymers, [Ag(dppe)(OAc)]n · nH2O ( 1 ) and [Ag2(dppe)1.5(NO3)2]n ( 2 ), respectively. The complexes were characterized by elemental analysis, ATR‐IR spectroscopy, 1H NMR, 13C NMR, and 31P NMR spectroscopy, and single‐crystal X‐ray diffraction. Structural analysis revealed that complex 1 exhibits a 1D infinite wavy structure, in which each silver(I) ion is bridged by dppe ligands. Structure 2 has a 2D topologically promising architecture that displays a 6.6.6 graphitic net, which corresponds to hnd topology. The nitrate ions and dppe ligands are in a μ2 bridging mode and support the formation of this net. Moreover, significant π–π interactions between the phenyl rings in the apertures of (6,3) grid stabilized complex 2 . 相似文献
14.
Fatiha Zaoui Mohamed Amine Didi Didier Villemin 《Journal of Radioanalytical and Nuclear Chemistry》2013,295(1):419-424
A new 8-hydroxyquinoline derivative extractant was synthesized via the Mannich reaction from a secondary amine. Various analytical techniques (1H, 13C NMR, FTIR, mass spectroscopy) were used to characterize our product. The use of this new extractant for the uptake and removal of uranyl ions in aqueous solution was investigated. Conditions for an effective sorption were optimized with respect to different experimental parameters in batch process. The results showed that the extraction rate increases for solutions with a pH in the range [0.65–1.13]. The total sorption capacity was 105 (mg g?1) under optimum experimental conditions. The extraction of UO2 2+ was found to be quantitative (100 %) at initial uranyl concentration less than or equal to 41.59 mg/L. Thermodynamic parameters showed the adsorption of an endothermic process and a spontaneous nature, respectively. 相似文献
15.
Fatiha Alabau-Boussouira 《Comptes Rendus Mathematique》2004,338(1):35-40
This work is concerned with stabilization of hyperbolic systems by a nonlinear feedback which can be localized on part of the boundary or locally distributed. We present here a general formula which gives the energy decay rates in terms of the behavior of the nonlinear feedback close to the origin. This formula allows us to unify for instance the cases where the feedback has a polynomial growth at the origin, with the cases where it goes exponentially fast to zero at the origin. We give also two other significant examples of nonpolynomial growth at the origin. We also show that we either obtain or improve significantly the decay rates of Lasiecka and Tataru (Differential Integral Equations 8 (1993) 507–533) and Martinez (Rev. Mat. Comput. 12 (1999) 251–283). To cite this article: F. Alabau-Boussouira, C. R. Acad. Sci. Paris, Ser. I 338 (2004). 相似文献
16.
A. Antony Muthu Prabhu Madi Fatiha Nouar Leila T. Anantha Raj Inmaculada Navarro-González Maria Jesús Periago Maria Josefa Yáñez-Gascón Horacio Pérez-Sánchez 《Journal of solution chemistry》2018,47(3):409-429
The interactions of the neurotransmitter dopamine (DA) with β-cyclodextrin and 2-hydroxypropyl-β-cyclodextrin (HP-β-CD) was characterized using UV–visible, 2D fluorescence, 3D fluorescence, FT–IR, PXRD and SEM techniques. PM3, PM7 and DFT methods were used to optimize the structures of the inclusion complexes in the gas phase. The absorbance and fluorescence intensities of DA increased in the presence of CDs in aqueous solution. The binding energy, HOMO–LUMO energy gap and Mulliken atomic charges were computed for the inclusion complexes. NBO analysis revealed a greater number of intermolecular hydrogen bonds in DA:HP-β-CD. Experimental and theoretical results suggested that the DA molecule is deeply embedded in the cavities of both CDs. 相似文献
17.
18.
Eigenproblem for p-Laplacian and nonlinear elliptic equation with nonlinear boundary conditions 下载免费PDF全文
In this article, we study the solvability of nonlinear problem for p-Laplacian with nonlinear boundary conditions. We give some characterization of the first eigenvalue of an intermediary eigenvalue problem as simplicity, isolation and its strict monotonicity. Afterward, we character also the second eigenvalue and its strictly partial monotony. On the other hand, in some sense, we establish the non-resonance below the first and furthermore between the first and second eigenvalues of nonlinear Steklov–Robin. 相似文献
19.
This work is concerned with stabilization of a wave equation stabilized by a boundary feedback. When the feedback is both frictional and with memory, we prove exponential stability of the solutions. In case of a boundary feedback which is only of memory type, uniform stability is not expected. We prove in this latter case, that the solutions decay polynomially. The method is new and uses the method of higher order energies (see [F. Alabau-Boussouira, J. Prüss, R. Zacher, Exponential and polynomial stabilization of wave equations subjected to boundary-memory dissipation with singular kernels, in preparation; F. Alabau, Stabilisation frontière indirecte de systèmes faiblement couplés, C. R. Acad. Sci. Paris Sér. I Math. 328 (1999) 1015–1020; F. Alabau, P. Cannarsa, V. Komornik, Indirect internal damping of coupled systems, J. Evolution Equations 2 (2002) 127–150; F. Alabau, Indirect boundary stabilization of weakly coupled systems, SIAM J. Control Optim. 41 (2002) 511–541]), the multiplier method and the properties of a large class of singular kernels. Moreover, our method can be extended to include cases of nonsingular kernels (see [V. Vergara, R. Zacher, Lyapunov functions and convergence to steady state for differential equations of fractional order, Math. Z. 259 (2008) 287–309; R. Zacher, Convergence to equilibrium for second order differential equations with weak damping of memory type, preprint.]). To cite this article: F. Alabau-Boussouira et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). 相似文献
20.
Fatiha Alabau-Boussouira 《Journal of Differential Equations》2010,249(5):1145-2450
We present an approach based on comparison principles for energy and interpolation properties to derive lower energy estimates for nonlinearly either locally damped or boundary damped vibrating systems. We show how the dissipation relation provides strong information on the asymptotic behavior of the energy of solutions. The geometrical situations are either one-dimensional, or radial two-dimensional or three-dimensional for annulus domains. We also consider the case of general domains, but in this case, for solutions with bounded velocities in time and space. In all these cases, the nonlinear damping function is assumed to have arbitrary (strictly sublinear) growth at the origin. We give results for strong solutions and stronger lower estimates for smoother solutions. The results are presented in two forms, either on the side of energy comparison principles, or through time-pointwise lower estimates. Under additional geometric assumptions, we give the resulting lower and upper estimates for four representative examples of damping functions. We further give a “weak” lower estimate (in the sense of a certain lim supt→∞) and an upper estimate of the velocity for smoother solutions in case of general damping functions and for radial, as well as multi-dimensional domains. We also discuss these estimates in the framework of optimality, which is not proved here, and indicate open problems raised by these results. 相似文献