فهرست مطالب
 Volume:18 Issue: 1, May 2023
 تاریخ انتشار: 1402/03/20
 تعداد عناوین: 14


Pages 118
In this paper, we investigate a Bressetype system of thermoelasticity of type III in the presence of a distributed delay. We prove the wellposedness of the problem. Furthermore, an exponential stability result will be shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semigroup method and the energy method.
Keywords: Bresse system, Delay terms, Decay rate, Lyaponov methode, Thermoelastic 
Pages 1932
This paper is devoted to deformation theory of graded Lie algebras over Z or Zl with finite dimensional graded pieces. Such deformation problems naturally appear in number theory. In the first part of the paper, we use Schlessinger criteria for functors on Artinian local rings in order to obtain universal deformation rings for deformations of graded Lie algebras and their graded representations. In the second part, we use a version of Schlessinger criteria for functors on theArtinian category of nilpotent Lie algebras which is formulated by Pridham, and explore arithmetic deformations using this technique.
Keywords: Arithemtic Lie algebras, Deforfation of Lie algebras, Schlessinger criteria 
Pages 3339
The purpose of the present paper is to introduce two new subclasses of the function class ∑m of biunivalent functions which both f and f1 are mfold symmetric analytic functions. Furthermore, we obtain estimates on the initial coefficients for functions in each of these new subclasses. Also we explain the relation between our results with earlier known results.
Keywords: Analytic function, Univalent function, mfold symmetric biunivalent functions 
Pages 4154
Topological indices are widely used as mathematical tools to analyze different types of graphs emerged in a broad range of applications. The HyperZagreb index (HM) is an important tool because it integrates the first two Zagreb indices. In this paper, we characterize the trees and unicyclic graphs with the first four and first eight greatest HMvalue, respectively.
Keywords: HyperZagreb index, Vertex degree, Unicyclic graphs, Trees 
Pages 5571
The Haar wavelet collocation with iteration technique is applied for solving a class of timefractional physical equations. The approximate solutions obtained by two dimensional Haar wavelet with iteration technique are compared with those obtained by analytical methods such as Adomian decomposition method (ADM) and variational iteration method (VIM). The results show that the present scheme is effective and appropriate for obtaining the numerical solution of the timefractional Modified CamassaHolm equation and Time fractional Modified DegasperisProcesi equation.
Keywords: Fractional differential equation, Haar wavelet, Operational matrices, Iterative method, Sylvester equation 
Pages 7395
Authors, define and establish a new subclass of harmonic regular schlicht functions (HSF) in the open unit disc through the use of the extended generalized Noortype integral operator associated with the ξgeneralized HurwitzLerch Zeta function (GHLZF). Furthermore, some geometric properties of this subclass are also studied.
Keywords: Harmonic function, Regular function, Schlicht function, Noor integral operator, ξgeneralized HurwitzLerch zeta function 
Pages 97108
In the present paper, we introduce a new subclass H∑m (λ,β)of the mfold symmetric biunivalent functions. Also, we find the estimates of the TaylorMaclaurin initial coefficients am+1 , a2m+1 and general coefficients amk+1 (k ≥ 2) for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.
Keywords: Biunivalent functions, mfold symmetric biunivalent functions, Coefficient estimates, Faber polynomials 
Pages 109129
The numerical approximation methods of the differential problems solution are numerous and various. Their classifications are based on several criteria: Consistency, precision, stability, convergence, dispersion, diffusion, speed and many others. For this reason a great interest must be given to the construction and the study of the associated algorithm: indeed the algorithm must be simple, robust, less expensive and fast. In this paper, after having recalled the δziti method, we reformulat it to obtain an algorithm that does not require as many calculations as many nodes knowing that they are counted by thousands. We have, therefore, managed to optimize the number of iterations by passing for example from 103 at 10 iterations.
Keywords: Algorithm, Meshing, δ−ziti, Optimal, Operations number 
Pages 131144
In this paper, we show that for any BLgeneral Lfuzzy automaton (BLGLFA) there exists a complete deterministic accessible reduced BLgeneral Lfuzzy automaton that recognizing the behavior of the BLGLFA. Also, we prove that for any finite realization β, there exists a minimal complete deterministic BLGLFA recognizing β. We prove any complete deterministic accessible reduced BLGLFA is a minimal BLGLFA. After that, we show that for any given finite realization β, the minimal complete deterministic BLGLFA recognizing β is isomorphic to any complete accessible deterministic reduced BLGLFA recognizing β. Moreover, we give some examples to clarify these notions. Finally, by using these notions, we give some theorems and algorithms and obtain some related results.
Keywords: BLgeneral fuzzy automata, Minimal automata, Reduction, Deterministic automata 
Pages 145164
In this paper, we propose a numerical method based on the generalized hat functions (GHFs) and improved hat functions (IHFs) to find numerical solutions for stochastic VolterraFredholm integral equation. To do so, all known and unknown functions are expanded in terms of basic functions and replaced in the original equation. The operational matrices of both basic functions are calculated and embeded in the equation to achieve a linear system of equations which give the expansion coefficients of the solution. We prove that the rate of the convergence is O(h2) and O(h4) for these two different bases under some conditions. Two examples are solved and the results are compared with those of block pulse functions method (BPFs) to show the accuracy and reliability of the methods.
Keywords: Generalized hat functions, Improved hat functions, Stochastic operational matrix, Stochastic VolterraFredholm integral equation, Brownian motion 
Pages 165178
The second Zagreb coindex is a wellknown graph invariant defined as the total degree product of all nonadjacent vertex pairs in a graph. The second Zagreb eccentricity coindex is defined analogously to the second Zagreb coindex by replacing the vertex degrees with the vertex eccentricities. In this paper, we present exact expressions or sharp lower bounds for the second Zagreb eccentricity coindex of some graph products such as lexicographic product, generalized hierarchical product, and strong product. Results are applied to compute the values of this eccentricitybased invariant for some chemical graphs and nanostructures such as hexagonal chain, linear phenylene chain, and zigzag polyhex nanotube.
Keywords: Eccentricity of a vertex, Graph invariants, Graph products, Chemical graphs 
Pages 179191
Controlled frames in Hilbert spaces have been recently introduced by P. Balazs and etc. for improving the numerical efficiency of interactive algorithms for inverting the frame operator. In this paper we develop a theory based on gfusion frames on Hilbert spaces, which provides exactly the frameworks not only to model new frames on Hilbert spaces but also for deriving robust operators. In particular, we can define analysis, synthesis and frame operators with representation space compatible for (C,C')Controlled gfusion frames, which even yield a reconstruction formula. Also, some useful concepts such as Qdual and perturbation are introduced and investigated.
Keywords: Gfusion frame, Controlled fusion frame, Controlled gfusion frame, Qdual 
Pages 193210
In this paper we find a characterization type result for (η1,η2)convex functions. The Fejér integral inequality related to (η1,η2)convex functions is obtained as a generalization of Fejér inequality related to the preinvex and ηconvex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (η1,η2)convex.
Keywords: Generalized convex function, Fejér inequality, Trapezoid inequality, Midpoint inequality 
Pages 211225
In this paper we consider the inverse and reverse network facility location problems with considering the equity on servers. The inverse facility location with equality measure deals with modifying the weights of vertices with minimum cost, such that the difference between the maximum and minimum weights of clients allocated to the given facilities is minimized. On the other hand, the reverse case of facility location problem with equality measure considers modifying the weights of vertices with a given budget constraint, such that the difference between the maximum and minimum weights of vertices allocated to the given facilities is reduced as much as possible. Two algorithms with time complexity O(nlogn) are presented for the inverse and reverse 2facility location problems with equality measures. Computational results show their superiority with respect to the linear programming models.
Keywords: Inverse facility location, Reverse facility location, Balanced allocation, Equality measure