Fractals-Complex Geometry Patterns and Scaling in Nature and Society最新文献_第4页

Investigation of the Elaborate Dynamics of Weakly Nonlinear Fractional Ion-Acoustic Waves in Magnetized Electron-Positron Plasma 磁化电子-正电子等离子体中弱非线性分数离子声波精细动力学研究

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-19 DOI: 10.1142/s0218348x23401977

M. M. Abelazeem, Raghda A. M. Attia

{"title":"Investigation of the Elaborate Dynamics of Weakly Nonlinear Fractional Ion-Acoustic Waves in Magnetized Electron-Positron Plasma","authors":"M. M. Abelazeem, Raghda A. M. Attia","doi":"10.1142/s0218348x23401977","DOIUrl":"https://doi.org/10.1142/s0218348x23401977","url":null,"abstract":"This study employs three advanced computational and numerical techniques to solve the nonlinear fractional modified Korteweg–de Vries–Zakharov–Kuznetsov (mKdV–ZK) equation in magnetized plasma. The reductive perturbation approach is utilized to investigate the dynamics of various components, namely isothermal species, immobile background species, and warm adiabatic fluid, in magnetized plasma. Emphasis is placed on unraveling the asymmetrical propagation characteristics of nonlinear electrostatic waves. The model’s solutions encompass diverse types of solitons, including ion-acoustic, dust acoustic, and electron acoustic solitons. Analytical solutions are obtained using a variety of mathematical functions, such as exponents, trigonometry, and hyperbolas. Two- and three-dimensional density graphs illustrate the practical behavior of a single soliton. The primary objective of employing numerical schemes is to assess the accuracy of the derived solutions, and the outcomes demonstrate the efficacy of the analytical method in solving nonlinear mathematical and physical problems. Several techniques are employed to validate the consistency between calculated and estimated results, ensuring the study’s accuracy and reliability. Overall, this investigation underscores the effectiveness of numerical and analytical techniques in tackling complex mathematical models, offering a promising avenue for future research in the field. The findings carry significant implications for comprehending nonlinear phenomena in magnetized plasma and contribute to advancing the field.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135667698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Some new inequalities for n-polynomial s-type convexity pertaining to inter-valued functions governed by fractional calculus 关于分数阶微积分控制的间值函数的n多项式s型凸性的几个新不等式

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-19 DOI: 10.1142/s0218348x23401989

Zareen A. Khan, Humaira Kalsoom

{"title":"Some new inequalities for <i>n</i>-polynomial s-type convexity pertaining to inter-valued functions governed by fractional calculus","authors":"Zareen A. Khan, Humaira Kalsoom","doi":"10.1142/s0218348x23401989","DOIUrl":"https://doi.org/10.1142/s0218348x23401989","url":null,"abstract":"The main goals of this paper are to provide an introduction to the idea of interval-valued [Formula: see text]-polynomial [Formula: see text]-type convex functions and to investigate the algebraic properties of this type of function. This new generalization aims to show the existence of new Hermite–Hadamard inequalities for the recently presented class of interval-valued [Formula: see text]-polynomials of [Formula: see text]-type convex describing the [Formula: see text]-fractional integral operator. In the classical sense, some special cases are figured out, and the two examples are also given. There are some recently discovered inequalities for interval-valued functions that are regulated by fractional calculus applicable to interval-valued [Formula: see text]-polynomial [Formula: see text]-type convexity. The results obtained show that future research will be simple to implement, highly efficient, feasible, and extremely precise in its investigation. It could also help solve modeling problems, optimization problems, and fuzzy interval-valued functions that involve both discrete and continuous variables.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135667696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Computational Solutions of Fractional Electric Symmetric Circuits by Sumudu Transformation 分数阶电对称电路的Sumudu变换计算解

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-18 DOI: 10.1142/s0218348x23401965

Esra Karatas Akgul, Wasim Jamshed, Sherzod Shukhratovich Abdullaev, Fethi Bin Muhammed Belgacem, Sayed M. El Din

引用次数: 0

New Analysis Methods for the Coupled Fractional Nonlinear Hirota Equation 耦合分数阶非线性Hirota方程的新分析方法

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-18 DOI: 10.1142/s0218348x23501190

Kang-Le Wang

引用次数: 0

Unraveling the Complex Dynamics of Fluid Flow in Porous Media: Effects of Viscosity, Porosity, and Inertia on the Motion of Fluids 揭示多孔介质中流体流动的复杂动力学:粘度、孔隙度和惯性对流体运动的影响

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-17 DOI: 10.1142/s0218348x23402028

Raghda A. M. Attia, Suleman H. Alfalqi, Jameel F. Alzaidi, Mostafa M. A. Khater

{"title":"Unraveling the Complex Dynamics of Fluid Flow in Porous Media: Effects of Viscosity, Porosity, and Inertia on the Motion of Fluids","authors":"Raghda A. M. Attia, Suleman H. Alfalqi, Jameel F. Alzaidi, Mostafa M. A. Khater","doi":"10.1142/s0218348x23402028","DOIUrl":"https://doi.org/10.1142/s0218348x23402028","url":null,"abstract":"This study investigates novel solitary wave solutions of the Gilson–Pickering ([Formula: see text]) equation, which is a model that describes the motion of a fluid in a porous medium. An analytical scheme is applied to construct these solutions, utilizing the extended Khater method in conjunction with the homogenous balance technique. The derived expressions for the solitary wave solutions are exact and are presented in terms of hyperbolic functions. The [Formula: see text] equation is valuable for a wide range of applications, including oil and gas reservoir engineering, groundwater flow, and flow in biological tissues. Additionally, this model is employed to describe the behavior of waves in various physical systems such as fluids and plasmas. Specifically, it models the propagation of dispersive waves in a media that exhibits both dispersion and dissipation. To ensure the accuracy of the constructed solutions, a numerical scheme is employed. The properties of the solitary wave solutions are analyzed, and their physical implications are explored. The results of this investigation reveal a rich variety of solitary wave solutions that exhibit interesting behaviors, including oscillatory and non-oscillatory behavior, which are elucidated through various types of distinct graphs. Consequently, this study provides significant insights into the behavior of fluid flow in porous media and its applications in various fields, including oil and gas reservoir engineering and groundwater flow modeling. The analytical and numerical methods employed in this investigation demonstrate their potential for studying nonlinear evolution equations and their applications in the physical sciences.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135944596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

New exact solutions of the local fractional modified equal width-Burgers equation on the Cantor sets 局部分数阶修正等宽- burgers方程在Cantor集上的新精确解

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-17 DOI: 10.1142/s0218348x23501116

Kang-Jia Wang

引用次数: 1

Zagreb Eccentricity Index of Level-N Sierpinski Gasket n级Sierpinski垫片的Zagreb偏心指数

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-17 DOI: 10.1142/s0218348x23501153

Wenjia Ma, Keqin Cui, Lifeng Xi

引用次数: 0

THE SYNERGIC INTERPLAY BETWEEN ENTROPY, PREDICTABILITY, AND INFORMATIONAL EFFICIENCY OF THE SHANGHAI SECTORAL INDEX 上海行业指数的熵、可预测性和信息效率之间的协同相互作用

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-17 DOI: 10.1142/s0218348x23501219

LEONARDO H. S. FERNANDES, FERNANDO H. A. DE ARAUJO, JOSÉ W. L. SILVA, MARCO C. M. FILHO, BENJAMIN M. TABAK

引用次数: 1

On the generalized variational principle of the fractal Gardner equation 分形Gardner方程的广义变分原理

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-17 DOI: 10.1142/s0218348x23501207

Kang-Jia Wang

引用次数: 0

HIDDEN COVERS (WINGS) IN THE FRACTALS OF CHAOTIC SYSTEMS USING ADVANCED JULIA FUNCTION 利用先进的Julia函数在混沌系统分形中隐藏罩(翼)

3区数学

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-14 DOI: 10.1142/s0218348x23501256

MUHAMMAD MARWAN, MAOAN HAN, MAWIA OSMAN

{"title":"HIDDEN COVERS (WINGS) IN THE FRACTALS OF CHAOTIC SYSTEMS USING ADVANCED JULIA FUNCTION","authors":"MUHAMMAD MARWAN, MAOAN HAN, MAWIA OSMAN","doi":"10.1142/s0218348x23501256","DOIUrl":"https://doi.org/10.1142/s0218348x23501256","url":null,"abstract":"In this work, we have adopted an advanced Julia-based function that helps not only in sorting out hidden wings in the fractals of chaotic systems, but can also generate an extra wing in chaotic systems based on a single wing. For verification, two examples Lorenz and modified stretch-twist-fold (STF) systems based on more than one wing, whereas chemical reaction-based chaotic system with a unique wing is considered. The existence of another wing in chaotic systems based on a single wing was a big question mark on the creation of multi-wings in the theory of fractals, but with the aid of advanced Julia functions, we have elaborated in detail that the existence of a second wing in such systems is also possible. The stretching and squeezing in the trajectories of fractals are also integral parts of our findings. Moreover, our study has solved another problem related to fractals. In the past, authors have shown multi-wings in chaotic systems with empty space inside all the time. In this study, we have shown for the first time that these inner spaces have special meaning due to the existence of hidden wings. Furthermore, we have shown that fractals can be divided into outer and inner wings, where the inner wings reflect the answer to the question about the empty space in between the outer wings of chaotic systems. For convenience, an extra file named as MiddleSpace.pdf is attached as a supplementary file to better understand the concept of covering empty space inside fractals.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135803610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0