ANALYSIS is devoted to the field of mathematical analysis, in particular classical analysis and its applications. Its aim is to publish the best research articles within the scope of the journal, as well as to boost the cooperation between scholars.    Topics:    Real and complex analysis,  Differential geometry,  Ordinary and partial differential equations,  Analytic number theory,  Numerical analysis,  Applications in physics, biology, engineering and economics.

The journal "Analysis" is dedicated to the field of mathematical analysis, particularly classical analysis and its applications. Its aim is to publish the best research articles within the scope of the journal and to enhance cooperation among scholars. Key topics include: real and complex analysis, differential geometry, ordinary and partial differential equations, analytic number theory, numerical analysis, and applications in physics, biology, engineering, and economics.

《Analysis》期刊致力于数学分析领域，特别是经典分析及其应用。期刊的目标是发表该领域内最优秀的研究文章，并促进学者之间的合作。主要研究主题包括：实数与复数分析、微分几何、常微分方程与偏微分方程、解析数论、数值分析，以及在物理、生物、工程和经济学中的应用。

Analysis

Abstract We present a condition under which the thermal quasi-geostrophic (TQG) model possesses a solution that is holomorphic in time with values in the Gevrey space of complex analytic functions. This can be seen as the complex extension of the work by Levermore and Oliver (1997) for the generalised Euler equation but applied to the TQG model.

Prince Romeo Mensah

Complex analytic solutions for the TQG model

TQG模型的复解析解

Abstract In this paper, Lie symmetry analysis method is applied to the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mn>2</m:mn> <m:mo>+</m:mo> <m:mn>1</m:mn> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> (2+1) -dimensional time fractional Kadomtsev–Petviashvili (KP) system, which is an important model in mathematical physics. We obtain all the Lie symmetries admitted by the KP system and use them to reduce the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mn>2</m:mn> <m:mo>+</m:mo> <m:mn>1</m:mn> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> (2+1) -dimensional fractional partial differential equations with Riemann–Liouville fractional derivative to some <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mrow> <m:mn>1</m:mn> <m:mo>+</m:mo> <m:mn>1</m:mn> </m:mrow> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:math> (1+1) -dimensional fractional partial differential equations with Erdélyi–Kober fractional derivative or Riemann–Liouville fractional derivative, thereby getting some exact solutions of the reduced equations. In addition, the new conservation theorem and the generalization of Noether operators are developed to construct the conservation laws for the system studied.

Jicheng Yu

Yuqiang Feng

Lie symmetries, exact solution and conservation laws of (2 + 1)-dimensional time fractional Kadomtsev–Petviashvili system

(2+1)维时间分数阶Kadomtsev-Petviashvili系统的李对称性、精确解和守恒律

Abstract In this article, we aim to present a new extension of the beta-logarithmic function with the help of an extended beta function and logarithmic mean. Then we introduce its statistical properties and investigate some basic important formulas of extended beta-logarithmic functions, such as integral representation, summation formula and Mellin transform. Further, we consider a new type of hypergeometric and confluent hypergeometric functions using this extended beta-logarithmic function and discuss their various result.

Nabiullah Khan

Rakibul Sk

Analysis of the beta-logarithmic function and its properties

β-对数函数的分析及其性质

Abstract Natural phenomena as well as problems encountered in pure and applied sciences are modeled by ordinary, partial or integral differential equations. Most of these problems have a nonlinear aspect which makes their studies difficult, or even impossible. For this, they must resort to other alternatives; among the methods used is the integral inequalities approach, which allows the study of quantitative and qualitative properties of solutions such as existence, uniqueness, delimitation, oscillation, and stability. In this study, we present some new integral inequalities of the Gronwall–Bellman–Bihari type associated with the fractional derivative of ψ-Hilfer, which represents a strong tool and is applicable in the study of certain differential equations. Several known results are derived and some applications to ordinary differential equations are provided to demonstrate the effectiveness of our finding.

Badreddine Meftah

Djamal Foukrach

Some new Gronwall–Bellman–Bihari type integral inequality associated with ψ-Hilfer fractional derivative

一些与ψ-Hilfer分数阶导数相关的新Gronwall-Bellman-Bihari型积分不等式

Abstract We study the behavior of solutions of the Cauchy problem for a semi-linear heat equation with critical non-linearity in the sense of Joseph and Lundgren. It is known that if two solutions are initially close enough near the spatial infinity, then these solutions approach each other. In this paper, we give a universal lower bound of the convergence rate of solutions for a class of initial data. This rate contains a logarithmic term, which is not contained in the super critical non-linearity case. Proofs are given by a comparison method based on matched asymptotic expansion.

Masaki Hoshino

Universal lower bound of the convergence rate of solutions for a semi-linear heat equation with a critical exponent

半线性热方程解的收敛率的下界与临界指数

Abstract In this paper we find conditions for the boundedness of the strong and weak fractional integral and fractional maximal operator generated by Gegenbauer differential operator on G -Morrey spaces.

Elman J. Ibrahimov

Saadat A. Jafarova

(L p,λ,μ,L q,λ,μ) boundedness of the G-fractional integral operator on G-Morrey spaces

(L p,λ,μ,L q,λ,μ) 在G-Morrey空间上G-分数阶积分算子的有界性

Abstract We introduce new extension of the extended Pochhammer symbol and gamma function by using the extended Mittag-Leffler function. We also present extension of the generalized hypergeometric function as well as some of their special cases by using this extended Pochhammer symbol. Further, we define the extension of the τ-Gauss hypergeometric function. Integral and derivative formulas involving the Mellin transform and fractional calculus techniques associated with this extended τ-Gauss hypergeometric function are also given. Also, new extended τ-Gauss hypergeometric function also provides a few more interesting and well-known results. This enriches the theory of special functions. The obtained results are believed to be newly presented.

短名
Journal Impact	0.52
国际分区	MATHEMATICS, APPLIED(Q3)

ISSN	0174-4747, 2196-6753
h-index	27

涉及主题	数学数学分析物理计算机科学纯数学量子力学应用数学哲学经济生物
出版信息	出版商: Walter de Gruyter GmbH，出版周期: ，期刊类型: journal，开源期刊: 否
基本数据	创刊年份: 1981，原创研究文献占比: 0.00%，自引率:N.A.， Gold OA占比: 0.00%

Analysis

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Complex analytic solutions for the TQG model

Lie symmetries, exact solution and conservation laws of (2 + 1)-dimensional time fractional Kadomtsev–Petviashvili system

Analysis of the beta-logarithmic function and its properties

Some new Gronwall–Bellman–Bihari type integral inequality associated with ψ-Hilfer fractional derivative

Universal lower bound of the convergence rate of solutions for a semi-linear heat equation with a critical exponent

Complex analytic solutions for the TQG model

Lie symmetries, exact solution and conservation laws of (2 + 1)-dimensional time fractional Kadomtsev–Petviashvili system

Analysis of the beta-logarithmic function and its properties

(L _p,λ,μ,L _q,λ,μ) boundedness of the G-fractional integral operator on G-Morrey spaces

Extension of Pochhammer symbol, generalized hypergeometric function and τ-Gauss hypergeometric function