New Contributions in Generalization S-Metric Spaces to S∗p-Partial Metric Spaces with Some Results in Common Fixed Point Theorems by Asma Al Rwaily, A. M. Zidan

“…Also, we give some of the topological properties that are important in knowing the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorems in this spaces.…”
Get full text

Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces by Mualla Birgül Huban

“…Furthermore, we define the concepts of Wℐσθη,ν-Cauchy sequence and Wℐσθ∗η,ν-Cauchy sequence of sets in IFMS. …”
Get full text

The Regularity of Functions on Dual Split Quaternions in Clifford Analysis by Ji Eun Kim, Kwang Ho Shon

“…This paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function on Ω⊂ℂ2×ℂ2 that has a dual split Cauchy-Riemann system in dual split quaternions.…”
Get full text

Comment on “Continuous g-Frame in Hilbert -Modules” by Zhong-Qi Xiang

“…The continuous g-frames in Hilbert -modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. …”
Get full text

On deferred statistical convergence in fuzzy normed linear spaces by Shyamal Debnath, Santonu Debnath

“…In this paper, we introduce the notions of deferred statistically convergent sequence and deferred statistically Cauchy sequence in a fuzzy normed linear space(FNS) and establish some basic facts. …”
Get full text

Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation by Gusein Sh. Guseinov

“…Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in arbitrary dimensions. …”
Get full text

The First Negative Moment of Skew-t and Generalized Student's t-Distributions in the Principal Value Sense by Chien-Yu Peng

“…The (Cauchy) principal value is a method for assigning values to certain improper integrals which would otherwise be undefined. …”
Get full text

On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System by Yongsheng Mi, Chunlai Mu, Weian Tao

“…We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. …”
Get full text

Positive Solutions for the Initial Value Problem of Fractional Evolution Equations by He Yang, Yue Liang

“…By using the fixed point theorems and the theory of analytic semigroup, we investigate the existence of positive mild solutions to the Cauchy problem of Caputo fractional evolution equations in Banach spaces. …”
Get full text

Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms by Maan A. Rasheed, Hassan Abd Salman Al-Dujaly, Talat Jassim Aldhlki

“…This paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled system of Reaction-Diffusion equations with gradient terms. …”
Get full text

An Iterative Method for Time-Fractional Swift-Hohenberg Equation by Wenjin Li, Yanni Pang

“…Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which indicates that such iterative method is effective and simple in constructing approximate solutions to Cauchy problems of time-fractional differential equations.…”
Get full text

Improved GOA-based fuzzy PI speed control of PMSM with predictive current regulation. by Taochang Li, Ang Li, Limin Hou

“…First, the diversity of the population and the global exploration capability of the algorithm are enhanced through the integration of the Cauchy mutation strategy and uniform distribution strategy. …”
Get full text

Postural Dysfunction During Standing and Walking in Children With Cerebral Palsy: What are the Underlying Problems and What New Therapies Might Improve Balance? by Marjorie Hines Woollacott, Anne Shumway-Cook

“…Constraints on gait include (a) crouched gait; (b) increased co-activation of agonists/antagonists; (c) decreased muscle activation; (d) spasticity. …”
Get full text

Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces by Syed Abdul Mohiuddine, Abdullah Alotaibi, Mustafa Obaid

“…That is, we determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean IFN spaces.…”
Get full text

Conservation Laws of Three-Dimensional Perfect Plasticity Equations under von Mises Yield Criterion by S. I. Senashov, A. Yakhno

“…In the plane case conservation laws are used to construct characteristics for the Cauchy problem. For the system of the plane strain, the conservation laws are used to solve the free boundary problem for any convex smooth contour loaded with constant normal and zero tangential stresses.…”
Get full text

On Hilbert's Inequality for Double Series and Its Applications by Zhou Yu, Gao Mingzhe

“…In particular, some sharp results of the classical Hilbert inequality are obtained by means of a sharpening of the Cauchy inequality. As applications, some refinements of both the Fejer-Riesz inequality and Hardy inequality in Hp function are given.…”
Get full text

A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis by Xiaoli Bian, Yuying Qiao

“…The integrals of quasi-Cauchy’s type and Plemelj formula for bihypermonogenic functions are firstly reviewed briefly. …”
Get full text

Some Existence Results for a System of Nonlinear Fractional Differential Equations by Eskandar Ameer, Hassen Aydi, Hüseyin Işık, Muhammad Nazam, Vahid Parvaneh, Muhammad Arshad

“…In this paper, we show that a sequence satisfying a Suzuki-type JS-rational contraction or a generalized Suzuki-type Ćirić JS-contraction, under some conditions, is a Cauchy sequence. This paper presents some common fixed point theorems and an application to resolve a system of nonlinear fractional differential equations. …”
Get full text

Comparative analysis of the performance of selected database management system by Piotr Marcin Tracz, Małgorzata Plechawska-Wójcik

“…The aim of the article is to conduct a comparative analysis of the performance of relational and non-relational databases using MS SQL Server, MongoDB, and CouchDB as examples. The comparison was carried out based on developed research scenarios designed to examine the execution time of CRUD operations. …”
Get full text

Existence of Solution of Space–Time Fractional Diffusion-Wave Equation in Weighted Sobolev Space by Kangqun Zhang

“…In this paper, we consider Cauchy problem of space-time fractional diffusion-wave equation. …”
Get full text