# Showing papers in "Annals of the West University of Timisoara: Mathematics and Computer Science in 2017"

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TL;DR: In this paper, the generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. But, the problem of conformable fractional derivative is not addressed.

Abstract: Abstract In this paper, generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. New fractional derivative definition called “conformable fractional derivative” used in the solution procedure. Tanh method with conformable derivative firstly introduced in the literature. By the graphics of analytical and approximate solutions, it is shown that, both methods provide an effective and powerful mathematical tool for solving nonlinear PDEs containing conformable fractional derivative.

13 citations

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TL;DR: In this paper, a Ricci tensor tensor of Codazzi type and cyclic parallel tensor has been considered on Sasakian 3-manifolds with curvature condition Q.R = 0 and conformally flat and φ-Ricci symmetric Ricci solitons.

Abstract: Abstract In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold. Moreover we consider η-Ricci solitons on Sasakian 3-manifolds with Ricci tensor of Codazzi type and cyclic parallel Ricci tensor. Beside these we study conformally flat and φ-Ricci symmetric η-Ricci soliton on Sasakian 3-manifolds. Also η-Ricci soliton on Sasakian 3-manifolds with the curvature condition Q.R = 0 have been considered. Finally, we construct an example to prove the non-existence of proper η-Ricci solitons on Sasakian 3-manifolds and verify some results.

7 citations

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TL;DR: In this article, conformal Ricci solitons in f-Kenmotsu manifolds were studied and conditions for f-KMIMO to be a conformal soliton were derived.

Abstract: Abstract In this paper, we study conformal Ricci solitons in f- Kenmotsu manifolds. We derive conditions for f-Kenmotsu metric to be a conformal Ricci soliton.

6 citations

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TL;DR: In this article, the existence of an almost generalized weakly symmetric LP-Sasakian manifold is proved by a non-trivial example, and the notions of weakly Ricci-symmetric LP S-Sakian manifolds are introduced.

Abstract: Abstract The purpose of this paper is to introduce the notions of an almost generalized weakly symmetric LP-Sasakian manifolds and an almost generalized weakly Ricci-symmetric LP-Sasakian manifolds. The existence of an almost generalized weakly symmetric LP-Sasakian manifold is ensured by a non-trivial example.

5 citations

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TL;DR: In this article, an alternative iterative method developed by Kozlov, Mazya and Fomin which is a convergent method for the elliptical Cauchy problems in general is used to solve the invese problem for the biharmonic equation.

Abstract: Abstract In this work, we are interested in a class of problems of great importance in many areas of industry and engineering. It is the invese problem for the biharmonic equation. It consists to complete the missing data on the inaccessible part from the measured data on the accessible part of the boundary. To solve this ill-posed problem, we opted for the alternative iterative method developed by Kozlov, Mazya and Fomin which is a convergent method for the elliptical Cauchy problems in general. The numerical implementation of the iterative algorithm is based on the application of the boundary element method (BEM) for a sequence of mixed well-posed direct problems. Numerical results are performed for a square domain showing the effectiveness of the algorithm by BEM to produce accurate and stable numerical results.

4 citations

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TL;DR: In this article, a semi-local convergence analysis for some iterative methods under generalized conditions is presented for Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.

Abstract: Abstract The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.

4 citations

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2 citations

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TL;DR: In this article, two types of ruled surfaces in the 3D simply isotropic space I13 were classified under the condition ∆xi= λixi where ∆ is the Laplace operator with respect to the first fundamental form and λ is a real number.

Abstract: Abstract In this paper, we classify two types ruled surfaces in the three dimensional simply isotropic space I13 under the condition ∆xi= λixi where ∆ is the Laplace operator with respect to the first fundamental form and λ is a real number. We also give explicit forms of these surfaces.

2 citations

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TL;DR: In this paper, Bakhtin and Czerwik proved the existence and uniqueness of the attractor of a generalization of Istrăţescu's convex contractions fixed point theorem in the setting of complete strong b-metric spaces.

Abstract: Abstract The concept of generalized convex contraction was introduced and studied by V. Istrăţescu and the notion of b-metric space was introduced by I. A. Bakhtin and S. Czerwik. In this paper we combine these two elements by studying iterated function systems consisting of generalized convex contractions on the framework of b-metric spaces. More precisely we prove the existence and uniqueness of the attractor of such a system providing in this way a generalization of Istrăţescu’s convex contractions fixed point theorem in the setting of complete strong b-metric spaces.

2 citations

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TL;DR: In this article, the authors consider the Diophantine equation x2kxy+ky2+ ly = 0 for l = 2n and determine for which values of the odd integer k, it has a positive integer solution x and y.

Abstract: Abstract We consider the Diophantine equation x2-kxy+ky2+ ly = 0 for l = 2n and determine for which values of the odd integer k, it has a positive integer solution x and y.

1 citations

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SIDI

^{1}TL;DR: In this article, the authors provided some existence results for the Darboux problem of partial fractional random differential equations with state-dependent delay by applying the measure of noncompactness and a random fixed point theorem with stochastic domain.

Abstract: Abstract In the present paper we provide some existence results for the Darboux problem of partial fractional random differential equations with state-dependent delay by applying the measure of noncompactness and a random fixed point theorem with stochastic domain.

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TL;DR: In this paper, the relative lower order of a meromorphic function f with respect to another entire function g was investigated when generalized relative order (generalized relative lower orders) of f and generalized relative ordering of g were given.

Abstract: Abstract In this paper we intend to find out relative order (relative lower order) of a meromorphic function f with respect to another entire function g when generalized relative order (generalized relative lower order) of f and generalized relative order (generalized relative lower order) of g with respect to another entire function h are given.

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TL;DR: In this article, a generalization of cyclic weakly contraction via a new function was introduced and the existence of fixed point for such mappings in the setup of complete metric spaces was derived.

Abstract: Abstract In this paper, we introduce a generalization of cyclic (μ, ψ, φ)-weakly contraction via a new function and derive the existence of fixed point for such mappings in the setup of complete metric spaces. Our results extend and improve some fixed point theorems in the literature.

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TL;DR: In this article, the authors introduced hyper relative order (p, q) of entire functions where p, q are positive integers with p>q and proved sum theorem, product theorem and theorem on derivative.

Abstract: Abstract After the works of Lahiri and Banerjee [6] on the idea of relative order (p, q) of entire functions, we introduce in this paper hyper relative order (p, q) of entire functions where p, q are positive integers with p>q and prove sum theorem, product theorem and theorem on derivative.

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TL;DR: In this article, the uniqueness problems of certain type of difference polynomial sharing a small function were studied and the main result was obtained as a corrected and generalized version of [8] in a more compact way which in turn improved a number of earlier results.

Abstract: Abstract The purpose of the paper is to study the uniqueness problems of certain type of difference polynomial sharing a small function. We point out and rectify some gaps in the proof of the main results in [8]. In addition to this we obtain our main result as a corrected and generalized version of [8] in a more compact way which in turn improve a number of earlier results.

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TL;DR: In this paper, the applicability of four iterative methods for solving nonlinear least squares problems was investigated and the advantages obtained under the same computational cost as in earlier studies, including: larger radius of convergence, tighter error bounds on the distances involved and a better information on the location of the solution.

Abstract: Abstract The aim of this paper is to expand the applicability of four iterative methods for solving nonlinear least squares problems. The advantages obtained under the same computational cost as in earlier studies, include: larger radius of convergence, tighter error bounds on the distances involved and a better information on the location of the solution.

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Utkal University

^{1}TL;DR: In this paper, the Schatten class characterization of Toeplitz operators on the Bergman space La2(ℂ+) is obtained for the right half plane of the right plane.

Abstract: Abstract In this paper, we consider Toeplitz operators defined on the Bergman space La2(ℂ+) \\msbm=MTMIB$L_a^2 \\left( {{\\msbm C}_+ } \\right)$ of the right half plane and obtain Schatten class characterization of these operators. We have shown that if the Toeplitz operators 𝕿φ on La2(ℂ+) \\msbm=MTMIB$L_a^2 \\left( {{\\msbm C}_+ } \\right)$ belongs to the Schatten class Sp, 1 ≤p < ∞, then φ˜∈Lp(ℂ+,dν) \\msbm=MTMIB$\\tilde \\phi \\in L^p \\left( {{\\msbm C}_+ ,d\
u } \\right)$ , where φ˜(w)=〈φbw¯,bw¯〉 $\\tilde \\phi \\left( w \\right) = \\left\\langle {\\phi b_{\\bar w} ,b_{\\bar w} } \\right\\rangle $ w ∈ ℂ+ and bw¯(s)=1π1+w1+w¯2Rew(s+w)2 $b_{\\bar w} (s) = {1 \\over {\\sqrt \\pi }}{{1 + w} \\over {1 + \\bar w}}{{2 Rew} \\over {\\left( {s + w} \\right)^2 }}$ . Here dν(w)=|B(w¯,w)|dμ(w) $d\
u (w) = \\left| {B(\\bar w,w)} \\right|d\\mu (w)$ , where dμ (w) is the area measure on ℂ+ and B(w¯,w)=(bw¯(w¯))2 $B(\\bar w,w) = \\left( {b_{\\bar w} (\\bar w)} \\right)^2 $ : Furthermore, we show that if φ ∈ Lp (ℂ+,dv), then φ˜∈Lp(ℂ+,dν) \\msbm=MTMIB$\\tilde \\phi \\in L^p ({\\msbm C}_+ ,d\
u )$ and 𝕿φ ∈ Sp. We also use these results to obtain Schatten class characterizations of little Hankel operators and bounded operators defined on the Bergman space La2(ℂ+) \\msbm=MTMIB$L_a^2 \\left( {{\\msbm C}_+ } \\right)$

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TL;DR: In this paper, the authors investigated the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated, and they gave an algorithm to estimate the local radius of convergence for considered method.

Abstract: Abstract We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated. Based on the convergence properties of Picard iteration for demicontractive mappings, we give an algorithm to estimate the local radius of convergence for considered method. Numerical experiments show that the proposed algorithm gives estimated radii which are very close to or even equal with the best ones.

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TL;DR: In this article, the authors introduce and investigate each of the following new subclasses Fmp,λ,l,k(α;ϕ), Ĝmp, λ, l,k (α,ϕ) and Nmp,λ,l(α, ϕ) of meromorphic functions, defined by means of a certain meromorphically p-modified version of the convolution structure.

Abstract: Abstract In this present paper we introduce and investigate each of the following new subclasses Fmp,λ,l,k(α;ϕ), Ĝmp,λ, l(α;ϕ) and Nmp,λ,l(α;ϕ) as well as Tmp,λ,l,k(α;ϕ), Ĝmp,λ, l(α;ϕ) and Ŕ̂mp,λ, l(α;ϕ) of meromorphic functions, which is defined by means of a certain meromorphically p-modified version of the convolution structure. Such results as inclusion relationships, integral representations and convolution properties for these function classes are proved.

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TL;DR: In this article, the use of some inequalities for nonnegative Hermitian forms various inequalities for sequences and power series of bounded linear operators in complex Hilbert spaces are established, and applications for some fundamental functions of interest are also given.

Abstract: Abstract By the use of some inequalities for nonnegative Hermitian forms various inequalities for sequences and power series of bounded linear operators in complex Hilbert spaces are established. Applications for some fundamental functions of interest are also given.