Solving the interaction of electromagnetic wave with electron by VIM

Matinfar, M.; Mirzanezhad, Saeed; Ghasemi, M.; Salehi, Mohammad Reza

doi:10.1016/j.jksus.2014.03.001

Cited by 12 publications

(2 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…See, for instance, De la Sen ( 1999 , 2010 ), Berinde ( 2007 ), De la Sen and Karapinar ( 2014 ), De la Sen et al ( 2010 , 2015 ), Marchenko ( 2014 , 2015 ), Delasen ( 1983 ), Istratescu ( 1981 ) and references therein. The solution of some interesting stability and solution approximation problems in some integral and physical problems have been recently investigated in Eshkuvatov et al ( 2015 ), Abdulla et al ( 2015 ), Matinfar et al ( 2015 ).…”

Section: Introductionmentioning

confidence: 99%

On fixed points and convergence results of sequences generated by uniformly convergent and point-wisely convergent sequences of operators in Menger probabilistic metric spaces

2016

View full text Add to dashboard Cite

In the framework of complete probabilistic Menger metric spaces, this paper investigates some relevant properties of convergence of sequences built through sequences of operators which are either uniformly convergent to a strict k-contractive operator, for some real constant k ∈ (0, 1), or which are strictly k-contractive and point-wisely convergent to a limit operator. Those properties are also reformulated for the case when either the sequence of operators or its limit are strict -contractions. The definitions of strict (k and ) contractions are given in the context of probabilistic metric spaces, namely in particular, for the considered probability density function. A numerical illustrative example is discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

On fixed points and convergence results of sequences generated by uniformly convergent and point-wisely convergent sequences of operators in Menger probabilistic metric spaces

2016

View full text Add to dashboard Cite

show abstract

“…The advent of symbolic computation also enables performing some complicated and tedious algebraic processes coupled with differential calculations. With the rapid development of nonlinear sciences based on computer algebraic system, many effective methods have been presented, such as the homotopy analysis method [3,4], the variational iteration method [5][6][7], the homotopy perturbation method [8,9], the sine-cosine method [10], the tanh-coth method [11][12][13], the modified extended tanhfunction method [14,15], the Exp-function method [16,17], the exp(−Φ( ))-expansion method [18,19], the ( / )expansion method [20,21], the modified simple equation method [22], the novel ( / )-expansion method [23], the new approach of the generalized ( / )-expansion method [21], the Jacobi elliptic function method [24], and the homogeneous balance method [25]. Recently, Naher and Abdullah [21] presented an effective and straightforward method, called the new approach of generalized ( / )expansion method, to obtain exact travelling wave solutions of nonlinear evolution equations.…”

Section: Introductionmentioning

confidence: 99%

New Improvement of the Expansion Methods for Solving the Generalized Fitzhugh-Nagumo Equation with Time-Dependent Coefficients

Manafian

Lakestani

2015

International Journal of Engineering Mathematics

View full text Add to dashboard Cite

An improvement of the expansion methods, namely, the improved tan⁡Φξ/2-expansion method, for solving nonlinear second-order partial differential equation, is proposed. The implementation of the new approach is demonstrated by solving the generalized Fitzhugh-Nagumo equation with time-dependent coefficients. As a result, many new and more general exact travelling wave solutions are obtained including periodic function solutions, soliton-like solutions, and trigonometric function solutions. The exact particular solutions contain four types: hyperbolic function solution, trigonometric function solution, exponential solution, and rational solution. We obtained further solutions comparing this method with other methods. The results demonstrate that the new tan⁡Φξ/2-expansion method is more efficient than the Ansatz method and Tanh method applied by Triki and Wazwaz (2013). Recently, this method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. Abundant exact travelling wave solutions including solitons, kink, and periodic and rational solutions have been found. These solutions might play an important role in engineering fields. It is shown that this method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving the nonlinear physics.

show abstract

Green synthesis of Stereospermum suaveolens capped silver and gold nanoparticles and assessment of their innate antioxidant, antimicrobial and antiproliferative activities

Francis

Koshy

Mathew

2018

Bioprocess Biosyst Eng

View full text Add to dashboard Cite

Plant-extract mediated nanoparticles synthesis is a viable alternative to chemical reduction techniques. Here, we report the microwave-assisted rapid synthesis of silver and gold nanoparticles by the phytoreducer Stereospermum suaveolens for the first time. The formation of the nascent silver and gold nanoparticles is confirmed by their intense surface plasmon resonance peaks at 431 and 585 nm in UV-visible spectroscopy. The poly phenolic and alcoholic functional groups present in the aqueous root bark extract that performed the bioreduction processes have been detected using Fourier transform infrared spectroscopy. Powder X-ray diffraction and selected area electron diffraction patterns settled face centered cubic crystal structures to both silver and gold nanoparticles with a preferred orientation towards the (111) plane. Transmission electron microscopic analysis proved more or less spherical geometry of the silver and gold nanoparticles with average diameter of 49.77 ± 11.64 and 27.19 ± 5.96 nm, respectively. The nanoparticles showed excellent free-radical scavenging activity than the root bark extract Stereospermum suaveolens and the IC values obtained were 108.36 ± 1.62, 45.59 ± 0.18, 34.53 ± 0.31 µg/mL, respectively, for the extract, gold and silver nanoparticles. The metal nanoparticles have accomplished good antimicrobial properties towards bacterial and fungal pathogens and were demonstrated herein. The antiproliferative effects of the synthesized silver and gold nanoparticles on human lung adenocarcinoma cells A549 were studied using the MTT assay and the obtained IC values 33.81 ± 0.72 and 52.97 ± 0.73 µg/mL lies in the clinical range.

show abstract

Solving the interaction of electromagnetic wave with electron by VIM

Cited by 12 publications

References 21 publications

On fixed points and convergence results of sequences generated by uniformly convergent and point-wisely convergent sequences of operators in Menger probabilistic metric spaces

On fixed points and convergence results of sequences generated by uniformly convergent and point-wisely convergent sequences of operators in Menger probabilistic metric spaces

New Improvement of the Expansion Methods for Solving the Generalized Fitzhugh-Nagumo Equation with Time-Dependent Coefficients

Green synthesis of Stereospermum suaveolens capped silver and gold nanoparticles and assessment of their innate antioxidant, antimicrobial and antiproliferative activities

Contact Info

Product

Resources

About