Article
Mathematics
Tie-Hong Zhao, Miao-Kun Wang, Guo-Jing Hai, Yu-Ming Chu
Summary: The article presents several Landen inequalities and transformation inequalities for the general Gaussian hypergeometric function F-2(1)(a, b; c; x), which are generalizations and improvements of previous known results.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
(2022)
Article
Mathematics
Tiehong Zhao, Miaokun Wang, Yuming Chu
Summary: New bounds for the perimeter of an ellipse are presented in this paper, representing improvements upon previous results.
ACTA MATHEMATICA SCIENTIA
(2022)
Article
Mathematics
Zai-Yin He, Abderrahmane Abbes, Hadi Jahanshahi, Naif D. Alotaibi, Ye Wang
Summary: This research presents a new fractional-order discrete-time susceptible-infected-recovered (SIR) epidemic model with vaccination and examines its dynamical behavior analytically and numerically. It is verified that the introduced fractional discrete SIR epidemic model with both commensurate and incommensurate fractional orders exhibits chaotic behavior. The discrete fractional model displays more complex dynamics for incommensurate fractional orders compared to commensurate fractional orders.
Article
Mathematics, Applied
Rajanish Kumar Rai, Subhas Khajanchi, Pankaj Kumar Tiwari, Ezio Venturino, Arvind Kumar Misra
Summary: This paper presents a mathematical model to evaluate the impact of social media advertisements in combating the coronavirus pandemic in India. The study finds that non-pharmaceutical interventions strategies play a key role in reducing the basic reproduction number and controlling disease transmission.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Mathematics
Hui-Zuo Xu, Wei-Mao Qian, Yu-Ming Chu
Summary: In this article, we present the best parameters for a set of inequalities involving geometric and quadratic means, as well as lemniscatic means. We also provide new bounds for arc lemniscate functions.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
(2022)
Article
Mathematics
Tie-Hong Zhao, Wei-Mao Qian, Yu-Ming Chu
Summary: This paper discusses arc lemniscate functions from the perspective of bivariate means, establishing optimal bounds and deriving new bounds for these functions, which improve upon previous results.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
(2022)
Article
Mathematics
Xue-Bo Jin, Wen-Tao Gong, Jian-Lei Kong, Yu-Ting Bai, Ting-Li Su
Summary: This paper proposes a novel planar flow-based variational auto-encoder prediction model (PFVAE) that overcomes noise effects and improves learning ability and adaptability by transforming the internal structure of VAE. Experimental results demonstrate the superiority of this model in terms of prediction accuracy.
Article
Mathematics
Shyuichi Izumiya, Nobuko Takeuchi
Summary: In this paper, we investigate the generic properties of cylindrical helices and Bertrand curves as applications of singularity theory for plane curves and spherical curves.
JOURNAL OF GEOMETRY
(2022)
Article
Mathematics
Muhammad Zeeshan Ashraf, Saif Ur Rehman, Saadia Farid, Ahmed Kadhim Hussein, Bagh Ali, Nehad Ali Shah, Wajaree Weera
Summary: This study numerically investigates steady magnetohydrodynamic convective streams of tangent hyperbolic nanofluid traveling across a nonlinearly elongating elastic surface with variable thickness, analyzing the impact of an externally imposed magnetic field and validating numerical results through extensive comparison studies.
Article
Mathematics
Quanfu Lou, Bagh Ali, Saif Ur Rehman, Danial Habib, Sohaib Abdal, Nehad Ali Shah, Jae Dong Chung
Summary: This study examines the momentum and thermal transportation in rotating dusty micropolar fluid flux and emphasizes the significance of increasing the volume concentration of dust particles. The governing PDEs are transformed into non-dimensional ODEs using suitable similarity modifications. The results show the impact of various parameters on non-Newtonian fluid and the dusty phase, including axial velocity, temperature, transverse velocity, and micro-rotation distribution.
Article
Mathematics, Applied
Mounirah Areshi, Adnan Khan, Rasool Shah, Kamsing Nonlaopon
Summary: In this paper, two different methods are used to find the solution of the time-fractional Newell-Whitehead-Segel equation, which plays an efficient role in describing stripe patterns in nonlinear systems. The proposed methods provide numerical results that are in strong agreement with an exact solution, and the effectiveness of these methods is demonstrated through graphs and tables. Furthermore, the results show that the solution approaches the exact solution as the fractional order tends towards an integer order. The proposed methods are interesting, easy to use, and highly accurate for solving various nonlinear fractional-order partial differential equations.
Article
Mathematics
Muhammad Faizan, Farhan Ali, Karuppusamy Loganathan, Aurang Zaib, Ch Achi Reddy, Sara I. Abdelsalam
Summary: This article presents an exhibition of a Riga plate with an electric magnetization actuator, consisting of permanent magnets and electrodes, that produces electromagnetic hydrodynamic phenomena over a fluid flow. It addresses the entropy analysis of Sutterby nanofluid flow and examines the behavior of heat and mass relaxation time using the Cattaneo-Christov heat and mass flux. The effect of various variables on velocity, temperature, concentration, and microorganism distributions is elaborated, and the validation of the model is achieved through previous literature.
Article
Mathematics
Bekir Akgoz, Omer Civalek
Summary: This study analyzes the buckling problem of nonhomogeneous microbeams with a variable cross-section. The influences of size effect, changes in the cross-section and Young's modulus, size dependency, and non-classical boundary conditions on buckling loads are examined.
Article
Mathematics, Applied
Kiran Sajjan, Nehad Ali Shah, N. Ameer Ahammad, C. S. K. Raju, M. Dinesh Kumar, Wajaree Weera
Summary: Hybrid models have become increasingly important in various systems, and this study explores the influence of linear, nonlinear, and quadratic Rosseland approximations on 3D flow behavior, as well as the inclusion of different shaped and dense ternary hybrid nanoparticles. The research findings show that different mixture compositions and thermal radiation situations have significant effects on the flow characteristics.
Article
Mathematics, Applied
Wei-Mao Qian, Hong-Hu Chu, Miao-Kun Wang, Yu-Ming Chu
Summary: In this article, a set of parameters and their inequalities are proposed to study new bounds for the complete elliptic integral of the second kind.
JOURNAL OF MATHEMATICAL INEQUALITIES
(2022)
Article
Mathematics, Applied
Peter Hasto, Jihoon Ok
Summary: This study establishes a sharp and general regularity theory for functionals, solving an open problem since the 1980s. Unlike previous results, a concise way of expressing the continuity requirement is used, applicable to various growth conditions.
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
(2022)
Article
Mathematics
Aissa Abderrahmane, Naef A. A. Qasem, Obai Younis, Riadh Marzouki, Abed Mourad, Nehad Ali Shah, Jae Dong Chung
Summary: The study conducted numerical simulations of mixed convective heat transfer in a three-dimensional triangular enclosure with a revolving circular cylinder, and provided recommendations for parameter values to enhance heat transfer rates in this system.
Article
Mathematics, Applied
Xiao-Tian Gao, Bo Tian, Yuan Shen, Chun-Hui Feng
Summary: This paper investigates a generalized (2+1)-dimensional dispersive long-wave system, which describes the nonlinear and dispersive long gravity waves in two horizontal directions in the shallow water of a wide channel of finite depth or an open sea. By means of symbolic computation and a different method, the same results as those reported previously, i.e., four sets of similarity reductions leading to known ordinary differential equations, are obtained.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
(2022)
Article
Mathematics, Applied
Tie-Hong Zhao, Barkat Ali Bhayo, Yu-Ming Chu
Summary: This paper deals with the generalized Grotzsch ring function mu(a)(r) in the theory of the Ramanujan generalized modular equation, presenting new inequalities for mu(a)(r).
COMPUTATIONAL METHODS AND FUNCTION THEORY
(2022)
Article
Mathematics, Applied
M. M. Bhatti, O. Anwar Beg, R. Ellahi, T. Abbas
Summary: This article focuses on the thermal flow problem in microchannels and proposes a mathematical model. The model is validated using numerical methods. The study finds that an increase in the thermal Grashof number and electric field parameter enhances the velocity, the Brinkman number and magnetic interaction number increase the temperature, and the Nusselt number is elevated with several parameters.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
(2022)
