2013
37
3
3
120
Fractional lie series and transforms as canonical mappings
Dr. Abd ElSalam
2
2
Using the RiemannLiouville fractional differintegral operator, the Lie theory is reformulated. The fractional Poisson bracket over the fractional phase space as 3N state vector is defined to be the fractional Lie derivative. Its properties are outlined and proved. A theorem for the canonicity of the transformation using the exponential operator is proved. The conservation of its generator is proved in a corollary. A Theorem for the inverse fractional canonical mapping is proved. The composite mappings of two successive transformations is defined. The fractional Lie operator and its properties are introduced. Some useful lemmas on this operator are proved. Lie transform depending on a parameter over the fractional phase space is presented and its relations are proved. Two theorems that proved the transformation = EW Z is completely canonical and is a solution of the Hamiltonian system (30) are given. Recurrence relations are obtained.
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199
210


F. A.
Abd ElSalam
Egypt
f.a.abdelsalam@gmail.com
Lie series and transform
fractional Poisson bracket
Hamiltonian systems
A stochastic perspective to random ship heave
motion based on different noises
2
2
The stochastic models for ship heave motion in irregular sea waves based on white and colored noises are examined. For this purpose the deterministic model transfers to stochastic models by adding different noise terms in force and then these models are solved analytically and numerically. Finally an investigation is undertaken to examine the parameter estimation problem of second order stochastic differential equations when some of the measurements are unavailable or missing data. Several simulation results are presented to illustrate the performance of the estimators.
1

211
217


R.
Farnoosh
Iran University of Science and Technology
Iran University of Science and Technology
Iran
rfarnoosh@iust.ac.ir


P.
Nabati
Urmia University of Technology, Urmia, Iran
Urmia University of Technology, Urmia, Iran
Iran
Colored noise
least square estimation
ship heave motion
stochastic differential equations
white noise
Water wave scattering by a surface discontinuity
over a uniform porous bottom
2
2
Scattering of an incoming wave train by a discontinuity at the upper surface of the ocean over a uniform porous bottom of finite depth is considered here in the framework of linearized water wave theory. By employing residue calculus method, the reflection and transmission coefficient are obtained. These coefficients are computed numerically for different values of the porosity parameter G and these results are displayed in a number of Figs.
1

219
225


R.
Maiti
Adamas Institute of Technology, Barasat, Kolkata, India, 700126
Adamas Institute of Technology, Barasat,
India


S.
Gangopadhyay
Department of Applied Mathematics, University of Calcutta, 92, A.P.C Road, Kolkata India, 700009
Department of Applied Mathematics, University
India


U.
Basu
University of Calcutta
University of Calcutta
India
umabasu49@gmail.com
Wave scattering
surface discontinuity
porous bottom
energy identity
residue calculus method
reflection and transmission coefficient
On the structure and properties of lower bounded analytic frames
2
2
Algebraic frames are generalizations of Fourier transforms on locally compact abelian groups in the sense that the
family of vectors forming the frame are replaced by a family of unbounded linear functionals. The paper studies
the indexing measure space of the algebraic frames; as the investigation narrows down to the class of lower semiframes,
more relations are revealed between the discreteness and the redundancy of the frame family.
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227
230


H.
Hosseini Giv
1Center for Linear Algebra and Optimization, Shahid Bahonar University of Kerman, Kerman, Iran
1Center for Linear Algebra and Optimization,
Iran


M.
Radjabalipour
Shahid Bahonar University of Kerman
Shahid Bahonar University of Kerman
Iran
radjabalipour@ias.ac.ir
Analysis operator
generalized frame
lower semiframe
redundancy
discreteness
algebraic frames
Legendre curves in 3dimensional Heisenberg group
2
2
In this study, we focused on  Legendre curves and non  Legendre curves in 3dimensional Heisenberg group . Also, we gave some characterizations of these curves.
1

231
236


S.
Tul
Ondokuz Mayıs
University
Ondokuz Mayıs
University
Turkey


A.
Sarioglugil
Department of Mathematics, Faculty of Sciences and Arts, Ondokuz Mayıs
University, 55139, Kurupelit, Samsun, Turkey
Department of Mathematics, Faculty of Sciences
Turkey
Heisenberg group
Sasakian manifold
Legendre curve
A study of fuzzy soft interior ideals of ordered semigroups
2
2
In this paper, we present the concepts of a fuzzy soft left (right) ideal and fuzzy soft interior ideal over an ordered
semigroup
S
. Some basic results of fuzzy soft left (right) ideals and fuzzy soft interior ideals are investigated and
the supported examples are provided. Different classes, regular, intraregular, and simple ordered semigroups are
characterized by means of fuzzy soft left (right) ideals and fuzzy soft interior ideals. It is shown that an ordered
semigroup is simple if and only if it is fuzzy soft simple. Furthermore, left (right) regular and intraregular ordered
semigroups are characterized by means of fuzzy soft left (right) ideals and fuzzy soft ideals.
1

237
249


A.
Khan
Abdul Wali Khan University
Abdul Wali Khan University
Pakistan


N. H.
Sarmin
Department of Mathematical Sciences, Faculty of Science,
Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
Department of Mathematical Sciences, Faculty
Malaysia


F. M.
Khan
Department of Mathematical Sciences, Faculty of Science,
Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
Department of Mathematical Sciences, Faculty
Malaysia


B.
Davvaz
Department of Mathematics, Yazd University Yazd, Iran
Department of Mathematics, Yazd University
Iran
Ordered semigroups
regular (left, right and completely regular) ordered semigroups
fuzzy left (right) ideals
fuzzy interior ideals
soft left (right) ideals
soft interior ideals
fuzzy soft left (right) ideals
fuzzy soft interior ideals
Ideal theory in semihyperrings
2
2
The concept of
semihyperring is a generalization of semiring, a generalization of semihyperring and a
generalization of
semiring. Since the theory of ideals plays an important role in the theory of

semihyperring, in this paper, we will make an intensive study of the notions of Noetherian, Artinian, simple and
regular
semihyperrings. The bulk of this paper is devoted to stating and proving analogues to several theorems
in the theory of
semihyperrings.
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251
263


S.
OstadhadiDehkordi
Department of Mathematics, Yazd University, Yazd, Iran
Department of Mathematics, Yazd University,
Iran


B.
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran
Department of Mathematics, Yazd University,
Iran
Semihyperring
Γsemihyperring
Γhyperring
simple Γsemihyperring
regular Γhyperring
Hemirings characterized by the properties
of their , k q fuzzy ideals
2
2
In this paper we define
( , ) k q fuzzy h sub hemirings, ( , ) k q fuzzy h ideals, ( , ) k q

fuzzy
h biideals and ( , ) k q fuzzy h quasiideals. We characterize h hemiregular and h
intrahemiregular
hemirings by the properties of their
( , ) k q fuzzy h ideals, ( , ) k q fuzzy h
biideals
and
( , ) k q fuzzy h
quasiideals.
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265
275


T.
Mahmood
International Islamic University
International Islamic University
Pakistan
( , ) k q fuzzy h sub hemirings
( , ) k q fuzzy h ideals
( , ) k q fuzzy h biideals
( , ) k q fuzzy h quasiideals
h hemiregular hemirings
h intrahemiregular hemirings
4Dodecylbenzenesulfonic acid (DBSA): an efficient, ecofriendly and
chemoselective catalyst for the synthesis of 1, 1 diacetates under
solventfree conditions at room temperature
2
2
4Dodecylbenzenesulfonic acid (DBSA) has been shown to be an efficient, mild, green, stable and chemoselective Brønsted acid catalyst for the synthesis of 1, 1diacetates (acylals) of aldehydes under solventfree conditions. The mild condition, ecofriendly, excellent yields, short reaction times and using an easily available, inexpensive and reusable catalyst are important features of this method.
1

277
284


E.
Esmaeilpour
Chemistry Department, College of Science, Shiraz University, Shiraz 71454, Iran
Chemistry Department, College of Science,
Iran


A. Z.
Sardarian
Shiraz University
Shiraz University
Iran
4Dodecylbenzenesulfonic acid
Solventfree
Chemoselective
1,1Diacetates
Aldehydes
Acetic anhydride
Dissipative dust acoustic solitary waves in an electron
depleted dusty plasma with superthermal ions
2
2
Dust acoustic (DA) solitary waves are investigated in an unmagnetized dusty plasma comprising of fluid warm
dust particles and kappa distributed ions. We assume the electron number density to be sufficiently depleted in this
fluid model, i.e.,
ne nd . We consider the usual ad hoc damping term, involving the damping rate
due to
the dust–neutral collisions; and derived the modified dispersion relation of DA waves. It is found that there is a
critical wave number, which should have
k kcrit
, otherwise overdamping occurs. The critical value of the wave
number increases with
, while it decreases with
. Also, a modified KortewegdeVries (mKdV) equation was
derived for description of DA solitary wave. We found that the amplitude, width and velocity of DA solitary
waves are modified in the presence of damping term. As the amplitude and velocity of solitary DA wave decreases
with
, the width of soliton spreads. Also, it is found that the polarity of soliton changes from positive to negative
at special value of
.
1

285
291


M.
Shahmansouri
Arak University
Arak University
Iran
Dust acoustic wave
Nonlinear wave
Kappa distribution
Standard reductive perturbation method
Influence of thickness and temperature on
the properties of Cu2S thin films
2
2
Copper Sulphide (Cu
2
S) thin films at different thicknesses and annealing temperatures were deposited onto glass
substrate by vacuum evaporation method. XRD study reveals the phase transformation of Cu
2
S film at higher
thickness. Optical and resistivity study show the phase transformation of the film from Cu
2
S to CuS when they are
annealed at higher temperature. SEM study exhibits the disappearance of large size particles of annealed film.
Stability of the film is controlled when the films are prepared at higher thickness. Optical band gap and activation
energy for different thickness and various annealing temperatures of Cu
2
S thin film were calculated and the values
are reported. Photocurrent enhances with film thickness and heat treatment.
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293
300


M.
Ramya
Department of Physics, Sri Shakthi Institute of Eng. & Tech., Coimbatore 641 062, Tamil Nadu, India
Department of Physics, Sri Shakthi Institute
India


S.
Ganesan
Department of Physics, Government College of Technology, Coimbatore 641 013, Tamil Nadu, India
Department of Physics, Government College
India
Vacuum evaporation
annealing temperature
phase transformation
optical properties
resistivity properties and photocurrent
Floristic study of Dalab woodlands, northeast
of Ilam province, west Iran
2
2
The present survey deals with the floristic study of Dalab Woodlands, located in Manesht and Ghelarang protected area, western Iran. It covers an area of 4335 ha. In total, 224 vascular plant species belonging to 46 families and 156 genera were identified. The largest families are Asteraceae (29 species), Fabaceae (23 species), Poaceae (22 species), and Apiaceae (18 species). Astragalus (13 species), Centaurea (9 species), Onosma (6 species), Bromus (5 species) and Amygdalus (3 species) are the most diverse genera of the region. The life form spectrum includes: hemichryptophytes (36.6 %), therophytes (33 %), cryptophytes (13.8 %), chamaephytes (8.9 %) and phanerophytes (7.6 %). From the chorological point of view, the largest proportion of the flora belongs to the IranoTuranian (68.7 %) elements. About 22.32 % of the Dalab Woodlands species are endemic to Iran and six rare species including Alrawia bellii, Arum giganteum, Cousinia cylindracea, Echinops kotschyi, Thymbra spicata and Zeugandra iranica are also identified in this region.
1

301
308


M.
Heydari
Guilan
Guilan
Iran


H.
Poorbabaei
Dept. of Forestry, Faculty of Natural Resources, University of Guilan, Someasara
Dept. of Forestry, Faculty of Natural Resources,
Iran


K.
Hatami
Ilam natural Resources Office
Ilam natural Resources Office
Iran


A.
Salehi
Dept. of Forestry, Faculty of Natural Resources, University of Guilan, Someasara
Dept. of Forestry, Faculty of Natural Resources,
Iran


M.
Begim Faghir
Dept. of Biology, Faculty of Sciences, University of Guilan
Dept. of Biology, Faculty of Sciences, University
Iran
Flora
plant species
life form
Dalab woodlands
Ilam
Insitu Synthesis of Oxovanadium(IV) complexes with ligands
derived by condensation of Benzil with Amino acids
2
2
The insitu method of synthesis has been used to isolate oxovanadium(IV) complexes with ligands derived by reaction of benzil with amino acids such as glycine, alanine, serine, cysteine and valine, where template effect of VO +2 cation appears to play an important role. The complexes are characterised by elemental analysis, magnetic moment measurements and spectral (infrared, electronic and electron spin resonance) data. The oxovanadium (IV) complexes are five coordinate, having tetradentate ligand derived from benzil being precursor molecule. The antifungal activities of isolated vanadyl complexes are tested against the fungi Aspergillus flavus and Candida glaberata.
1

309
312


P.
Bora
Deemed University
Deemed University
India


H. S.
Yadav
Department of Chemistry, North Eastern Regional Institute of Science & Technology,
Deemed University, Nirjuli791109, Arunachal Pradesh, India
Department of Chemistry, North Eastern Regional
India
Oxovanadium(IV)
benzyl
aminoacid
template effect
Study of the Thermally Stimulated Depolarization Current (TSDC)
for composites of Acrylonitrile Butadiene Rubber
(NBR) loaded with HAF
2
2
The thermally stimulated discharge (TSDC) current is studied for acrylonitrile butadiene rubber (NBR) loaded
with different high abrasion furnace carbon black (HAF). TSDC peak appears only for higher HAF contents >
60phr (70 and 80phr of HAF contents), the TSDC spectra consist of a sharp peak corresponding to a peak
temperature
Tm
which is slightly shifted to higher temperature for 70phr loaded NBR samples and to lower
temperature for 80phr loaded NBR sample, with poling field (10V/cm to 50V/cm). The activation energy
U
and
relaxation time
for TSDC peak were calculated using the initial rise method. The calculated values of U
are
nearly constant for sample 70phr and slightly increase for sample 80phr with increasing poling field
Ep
. The
calculated values of
at peak temperature Tm
are nearly constant for two samples (70phr & 80phr) with different
poling field, whereas the calculated values of relaxation time
at To
= 300K increased with increase of poling
field.
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313
318


M.
Amin
Physics Department, Faculty of Science, Cairo University, Cairo, Egypt
Physics Department, Faculty of Science, Cairo
Egypt


G. M.
Nasr
Physics Department, Faculty of Science, Cairo University, Cairo, Egypt
Physics Department, Faculty of Science, Cairo
Egypt


K. M.
ElShokrofy
Basic Engineering Science Department, Faculty of Engineering, Menofia University, Shebin ElKom, Egypt
Basic Engineering Science Department, Faculty
Egypt


Sh. A.
Mansour
Cairo University
Cairo University
Egypt
Conductive elastomers TSDC
acrylonitrile butadiene rubber (NBR)
HAF