2013
37
4
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The operational matrix of fractional integration for shifted Legendre polynomials
2
2
In this article we implement an operational matrix of fractional integration for Legendre polynomials. We proposed an algorithm to obtain an approximation solution for fractional differential equations, described in RiemannLiouville sense, based on shifted Legendre polynomials. This method was applied to solve linear multiorder fractional differential equation with initial conditions, and the exact solutions obtained for some illustrated examples. Numerical results reveal that this method gives ideal approximation for linear multiorder fractional differential equations.
1

439
444


G. H.
Erjaee
Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 7481171466, Shiraz, Iran
Department of Mathematics, College of Sciences,
Iran


M. H.
Akrami
Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 7481171466, Shiraz, Iran
Department of Mathematics, College of Sciences,
Iran


M. H.
Atabakzadeh
Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 7481171466, Shiraz, Iran
Department of Mathematics, College of Sciences,
Iran
mh_atabak@shirazu.ac.ir
Fractionalorder differential equation
operational matrix
shifted Legendre polynomials
RiemannLiouville fractional integral operator
First record of Anaciaeshna jaspidea and Epophthalmia
vittata vittata (Odonata: Anisoptera) from Pakistan
2
2
During a survey of Sindh and Punjab provinces of Pakistan, two dragonfly genera were collected and identified for the first time from the country. Anaciaeshna(Family Aeshnidae) is a genus of large dragonflies. Representatives were collectedfrom Gujjo, District Thatta (Sindh) in August 2008 and were identified as Anaciaeshna jaspidea (Burmeister). The second genus was Epophthalmia (Family Corduliidae), medium to large sized, wellbuilt and very fast flying dragonflies. Epophthalmia vittata vittata Burmeister (Family Corduliidae) was collected from Java Dam, Rawalpindi and Dhok Tallian Dam near Chakwal. Individuals of this genus were found maneuvering near the peripheries of small dams. Some taxonomic notes of the said species are provided.
1

445
448


M. T.
Chaudhry
Agricultural Training Institute Karor Lal Easan, District Layyah, Punjab, Pakistan
Agricultural Training Institute Karor Lal
Pakistan


A.
Ul Mohsin
Department of Entomology, PMAS, Arid Agriculture University, Rawalpindi
Department of Entomology, PMAS, Arid Agriculture
Pakistan


M. I.
Bhatti
Pakistan Museum of Natural History, Islamabad
Pakistan Museum of Natural History, Islamabad
Pakistan


R. A.
Javed
Adaptive Research Farm, Karor District. Layyah
Adaptive Research Farm, Karor District. Layyah
Pakistan


G.
Abbas
Adaptive Research Farm, Karor District. Layyah
Adaptive Research Farm, Karor District. Layyah
Pakistan
Dragonflies
first record of occurrence
Pakistan
taxonomic survey
On the multiplication operator on analytic function spaces
2
2
Let be a Hilbert space of functions analytic on a plane domain such that for every in the functional of evaluation at is bounded. Assume further that contains the constants and admits multiplication by the independent variable , , as a bounded operator. We give sufficient conditions for to be reflexive for all positive integers .
1

449
452


Kh.
Jahedi
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
Department of Mathematics, Shiraz Branch,
Iran
Hilbert spaces of analytic functions
multiplication operators
reflexive operator
multipliers
Caratheodory hull
bounded point evaluation
spectral set
Theoretical studies of the optical spectra and EPR parameters
for VO2+ ions in Zn(antipyrine)2(NO3)2
2
2
The optical spectrum band positions and EPR parameters (g factors g//, g^ and hyperfine structure constants A// and A^) for VO2+ ions in Zn(antipyrine)2(NO3)2 are theoretically studied from the complete diagonalization (of energy matrix) method (CDM) and the perturbation theory method (PTM). In the two methods, the contributions from the spin–orbit (SO) coupling of central 3dn ion and ligand are taken into account. The theoretical results from both methods are not only consistent with the experimental values, but also close to each other. The results are discussed.
1

453
456


JiZi
Lin
Department of Physics, Jiangsu University of Science and Technology
Changxing Road, Zhangjiagang, 215600, P. R. China
Department of Physics, Jiangsu University
China
Electron paramagnetic resonance (EPR)
Crystalfields and Spin Hamiltonians
VO2+；Zn(antipyrine)2 (NO3)2
The generalization of structure factor for rods by polygon section in twodimensional phononic crystals
2
2
The purpose of this paper is the generalization of structure factor for rods by polygon section in two dimensional phononic crystals. If we use the plane wave expansion method (PWE) for the propagation of acoustic waves in 2D phononic crystals, structure factor will be an important quantity. In order to confirm the obtained relations, we have calculated the band structure for XY and Z vibration modes in 2D phononic crystals and the propagation of bulk acoustic waves (BAW) are considered. In addition, the effect of sides’ number on the band structure and the complete band gaps width are investigated. Phononic crystals studied in this paper are composites medium of a square lattice consisting of parallel nickel rods embedded in epoxy. The frequency is calculated by PWE in the condition of elastic rigidity to the solid inclusions. The results showed that, when the section of rods have 2n+2 (n is even) and 2n+1 by increasing sides number of the rod sections, the bands of XY mode shift to lowerfrequency, the bands are smoother and the width of the band gap increases, but the band of Z mode has not changed by n variations. Moreover, when the section of rods have 2n+2 (n is odd) by increasing sides number of rod sections, the band structure of XY mode changes slightly and the width of the complete band gap is decreased. This confirms the effect of lattice symmetry on the complete band gap width. But, the band structure of Z mode has not changed.
1

457
462


H.
Salehi
Department of Physics, Shahid Chamran University, Ahvaz, Iran
Department of Physics, Shahid Chamran University,
Iran


M.
Aryadoust
Department of Physics, Shahid Chamran University, Ahvaz, Iran
Department of Physics, Shahid Chamran University,
Iran


M.
Zargar Shoushtari
Department of Physics, Shahid Chamran University, Ahvaz, Iran
Department of Physics, Shahid Chamran University,
Iran
Band gap
phononic crystal
Polygon section
structure factor
Theoretical Calculation of Energies of Projectile like Fragments in 76Ge (635 MeV) + 198Pt DeepInelastic Collisions
2
2
The theoretical calculation of the energies of projectile like fragments (PLFs) using the heavyion reactions between 76Ge and 198Pt are reported in this article. The incident beam energy was 635 MeV. The calculated values of PLFs are compared with the previous experimental results and it is shown that the theoretical calculations of PLFs are consistent with the experimental values. The elastic peak of the projectile is compared theoretically and experimentally. Moreover, the Qvalue and binding energy of PLFs were also calculated.
1

463
465


I.
Hossain
Department of physics, Rabigh College of Science & Arts,
King Abdulaziz University, 21911 Rabigh, Saudi Arabia
Department of physics, Rabigh College of
Saudi Arabia


N. N. A.
Ghani
Department of Physics, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
Department of Physics, Universiti Teknologi
Malaysia


M. A.
Saeed
Department of Physics, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
Department of Physics, Universiti Teknologi
Malaysia


L.
Barik
Department of Information Systems, King Abdulaziz University, 21911 Rabigh, Saudi Arabia
Department of Information Systems, King Abdulaziz
Saudi Arabia
Projectilelike fragments
deepinelastic collisions
incident beam 635 MeV
Strain analysis of the Darvazeh Quran fault, Zagros Mountains, Iran
2
2
The Zagros FoldandThrust Belt is tectonically active and often has active faults with insensible and slow motions. Determining the rate of movement and displacement in these faults requires very precise measurements. One of the measurement methods of fault movements is using geodetic and microgeodetic studies. This research is focused on one of the active faults in the north of Shiraz city, Fars province called Darvazeh Quran fault in this study. In order to determine the deformation matrix, the local networks are preferred. Deforming area is normally covered by four control points. These points constitute a geodetic network and their location or structure is defined by the topographic and geological parameters. The results show that the obtained displacement vector is from SE to NW with a dextral strikeslip creep. Deformation matrix indicated 4mm±6ppm displacement per year and elongation changes of network have an ascending trend into time.
1

467
475


A.
Asadi
Department of Earth Sciences, Shiraz Branch Islamic Azad University, Shiraz, Iran
Department of Earth Sciences, Shiraz Branch
Iran


H.
Quanbari
Department of Earth Sciences , Science & Research Branch, Islamic Azad University, Marvdasht, Iran
Department of Earth Sciences , Science &
Iran


A.
Nikoonejad
Department of Earth Sciences , Science & Research Branch, Islamic Azad University, Marvdasht, Iran
Department of Earth Sciences , Science &
Iran
deformation
earthquake
microgeodesy
fault
Iran
Zagros
Numerical study of some nonlinear wave equations
via Chebyshev collocation method
2
2
The numerical methods are of great importance for approximating the solutions of nonlinear ordinary or partial differential equations, especially when the nonlinear differential equation under consideration faces difficulties in obtaining its exact solution. In this latter case, we usually resort to one of the efficient numerical methods. In this paper, the Chebyshev collocation method is suggested to deal numerically with some nonlinear partial differential equations in mathematical physics.
1

477
482


N. Y. A.
Elazem
Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia
Department of Mathematics, Faculty of Science,
Saudi Arabia


A.
Ebaid
Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia
Department of Mathematics, Faculty of Science,
Saudi Arabia
Chebyshev Collocation Method
nonlinear wave equation
Numerical solution
Global analysis of a delay SVEIR epidemiological model
2
2
This paper is concerned with global analysis of a delay SVEIR epidemiological model in a population of varying size. By using Lyapunov stability method and LaSalle’s invariance principle for delay systems, we prove that when there is no endemic equilibrium, the disease free equilibrium is globally asymptotically stable, otherwise the endemic equilibrium is globally stable.
1

483
489


N.
Farajzadeh Tehrani
Department of Mathematical Sciences, Sharif University of Technology,
P.O. Box 111559415, Tehran, Iran
Department of Mathematical Sciences, Sharif
Iran


M. R.
Razvan
School of Mathematics, Institute for Research in Fundamental Sciences (IPM)
School of Mathematics, Institute for Research
Iran


S.
Yasaman
School of Mathematics, Institute for Research in Fundamental Sciences (IPM)
School of Mathematics, Institute for Research
Iran
SVEIR epidemiological model
delay diﬀerential equation
disease free equilibrium
endemic equilibrium
lyapunov functional
Toepad morphology in White's tree frog,
Litoria caerulea (Family Hylidae)
2
2
The aim of this study was to find any structural differences between the digital pads of forelimbs and hind limbs as well as more careful investigation of the internal and external structures of the toepad. In this study, pad morphology and cytology in Litoria caerulea is described using SEM, TEM and light microscopy. At the gross anatomical level, toepads in hind limbs were subdivided into medial and lateral parts by two large grooves. Semithin sections also showed that the toepad epidermis in hind limbs consisted of four layers with a cuboidal outermost layer, while the epidermis of forelimbs consisted of 3 layers with a columnar outermost layer. SEM study revealed two basic shapes of epidermal cells arranged very regularly across the surface of the pad: pentagonal and hexagonal. The pentagonal mainly occupied the most distal part of the toe. Three types of mucoussecreting pores were also seen in between the epithelial cells.
1

491
499


M.
Nokhbatolfoghahai
Department of Biology, School of Sciences, Shiraz University, Iran
Department of Biology, School of Sciences,
Iran
Tree frog
Litoria caerulea
toepad
mucous pores
Morphology
A novel hybrid spectralvariational iteration method (HSVIM) for solving nonlinear equations arising in heat transfer
2
2
The purpose of this study is to implement a new modification of the variational iteration method (HSVIM), which is a combination of spectral method and variational iteration method for heat transfer problems with high nonlinearity order. The merit of this method is that it does not require the solution of any linear or nonlinear system of equations unlike spectral method. Furthermore the proposed method is easy to implement and computationally very attractive. Here, HSVIM is used to solve an unsteady nonlinear convectiveradiative equation containing two small parameters, and . It is observed that HSVIM may be implemented on other strongly nonlinear models of physical nature.
1

501
512


M.
Heydari
Department of Mathematics, Yazd University P.O. Box: 89195741 Yazd, Iran
Department of Mathematics, Yazd University
Iran


G. B.
Loghmani
Department of Mathematics, Yazd University P.O. Box: 89195741 Yazd, Iran
Department of Mathematics, Yazd University
Iran


S. M.
Hosseini
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics, Science and Research
Iran


A.
Yildirim
Department of Mathematics, Science Faculty, Ege University, 35100 BornovaIzmir, Turkey
Department of Mathematics, Science Faculty,
Turkey
ahmet.yildirim@ege.edu.tr
heat transfer
Spectral method
Variational iteration method
gauss quadrature integration method
A new algorithm for solving onedimensional Schrödinger
equations in the reproducing kernel space
2
2
On the basis of a reproducing kernel space, an iterative algorithm for solving the onedimensional linear and nonlinear Schrödinger equations is presented. The analytical solution is shown in a series form in the reproducing kernel space and the approximate solution is constructed by truncating the series. The convergence of the approximate solution to the analytical solution is also proved. The method is examined for the single soliton solution and interaction of two solitons. Numerical experiments show that the proposed method is of satisfactory accuracy and preserves the conservation laws of charge and energy. The numerical results are compared with both the analytical and numerical solutions of some earlier papers in the literature.
1

513
526


M.
Mohammadi
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 8415683111, Iran
Department of Mathematical Sciences, Isfahan
Iran


R,
Mokhtari
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 8415683111, Iran
Department of Mathematical Sciences, Isfahan
Iran
Schrödinger equations
reproducing kernel space
Approximations in (bi)hyperideals of Semihypergroups
2
2
We consider the fundamental relation on a semihypergroup to interpret the lower and upper approximations as subsets of the fundamental semigroup and we give some results in this connection. Also, we introduce the notion of a bihyperideal to study the relationship between approximations and bihyperideals.
1

527
532


R.
Ameri
School of Mathematics, Statistics and Computer Science,
College of Sciences, University of Tehran, P.O. Box 141556455, Teheran, Iran
School of Mathematics, Statistics and Computer
Iran


S.
Azizpour Arabi
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, University of
Iran


H.
Hedayati
Department of Mathematics, Babol University of Technology, Babol, Iran
Department of Mathematics, Babol University
Iran
Hyperoperation
semihypergroup
(Bi)hyperideal
fundamental relation
Rough set
Approximation Space
ODCharacterization of some orthogonal groups
2
2
In this paper, it was shown that , where and , and , where is not prime and , are ODcharacterizable.
1

533
540


N.
Ahanjideh
Department of Mathematics, Faculty of Basic Sciences
University of Shahrekord, P.O. Box: 115, Shahrekord, Iran
Department of Mathematics, Faculty of Basic
Iran


G. R.
Rezaeezadeh
Department of Mathematics, Faculty of Basic Sciences
University of Shahrekord, P.O. Box: 115, Shahrekord, Iran
Department of Mathematics, Faculty of Basic
Iran


Sh.
Safari
Department of Mathematics, Faculty of Basic Sciences
University of Shahrekord, P.O. Box: 115, Shahrekord, Iran
Department of Mathematics, Faculty of Basic
Iran
Simple groups
prime graph
degree of a vertex
degree pattern