Browsing Department of Mathematics and Statistics by Title
Now showing items 54-73 of 208
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First Chen Inequality for General Warped Product Submanifolds of a Riemannian Space Form and Applications; [Premi�re in�galit� de Chen pour des produits tordus de sous-vari�t�s d�un espace forme riemannien et applications]
(ISTE Group, 2023-06-15)In this paper, the first Chen inequality is proved for general warped product submanifolds in Riemannian space forms, this inequality involves intrinsic invariants (?-invariant and sectional curvature) controlled by an ... -
Four-dimensional conformally flat Berwald and Landsberg spaces
(Informatics Publishing Limited and The Indian Mathematical Society, 2018)The problem of conformal transformation and conformal atness of Finsler spaces has been studied in [6], [16], [17], [20], [21]. Recently, Prasad et. al [19] have studied three dimensional conformally at Landsberg and Berwald ... -
Fractional dynamics of 2019-nCOV in Spain at different transmission rate with an idea of optimal control problem formulation
(Elsevier B.V., 2021-07-29)In this article, we studied the fractional dynamics of the most dangerous deathly disease which outbreaks have been recorded all over the world, called 2019-nCOV or COVID-19. We used the numerical values of the given ... -
Fractional dynamics of huanglongbing transmission within a citrus tree
(John Wiley and Sons Ltd, 2021-05-18)The citrus epidemic huanglongbing (HLB), allied with an uncultured bacterial pathogen, is blusterous the industry of citrus worldwide. In this research work, we analysed a fractional huanglongbing model to study the ... -
Fractional time-delay mathematical modeling of Oncolytic Virotherapy
(Elsevier Ltd, 2021-06-19)An emerging treatment tool which uses replication-competent viruses to dissipate cancers without causing deficit to normal tissues, named as oncolytic virotherapy, is discussed in the article. We analysed a fractional delay ... -
Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic�Quartic Dispersive Reflectivity by Lie Symmetry
(MDPI, 2023-04-24)The current paper recovers cubic�quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, ... -
General form of axially symmetric stationary metric: exact solutions and conservation laws in vacuum fields
(Institute of Physics, 2023-06-24)The invariant non-static solutions of Einstein�s vacuum field equations, corresponding to the most general form of axially symmetric stationary line element that represents a non conformally flat semi-Riemannian spacetime ... -
Generalised Two-Component Modified Weakly Dissipative Dullin-Gottwald-Holm System: Invariance Analysis and Conservation Laws
(VGTU, 2022-02-07)The Dullin-Gottwald-Holm equation models the unidirectional propagation of shallow regime water waves. In this work, the Lie symmetry analysis of the generalised two-component modified weakly dissipative Dullin-Gottwald-Holm ... -
A generalized (2+1)-dimensional Hirota bilinear equation: integrability, solitons and invariant solutions
(Springer Science and Business Media B.V., 2022-11-11)In this paper, we consider an extended form of generalized (2 + 1) -dimensional Hirota bilinear equation which demonstrates nonlinear wave phenomena in shallow water, oceanography and nonlinear optics. We have successfully ... -
Generalized forms of fractional Euler and Runge-Kutta methods using non-uniform grid
(Walter de Gruyter GmbH, 2022-07-07)In this article, we propose generalized forms of three well-known fractional numerical methods namely Euler, Runge-Kutta 2-step, and Runge-Kutta 4-step, respectively. The new versions we provide of these methods are derived ... -
Generalized Lie symmetry approach for fractional order systems of differential equations. III
(American Institute of Physics Inc., 2017)The generalized Lie symmetry technique is proposed for the derivation of point symmetries for systems of fractional differential equations with an arbitrary number of independent as well as dependent variables. The efficiency ... -
Geometry on the surface of revolution with first approximate slope metric
(Balkan Society of Geometers, 2021-01-01)The motive of this article is to study globally defined slope metrics on surface of revolution. An introduction to first approximate slope metric and its geodesic behaviour on the surface of revolution is also discussed. ... -
Group classification, conservation laws and Painlev analysis for Klein–Gordon–Zakharov equations in (3 + 1)-dimension
(Springer, 2019)In this paper, we study Klein–Gordon–Zakharov equations which describe the propagation of strong turbulence of the Langmuir wave in a high-frequency plasma. Using the symbolic manipulation tool Maple, the classifications ... -
Group classification, conservation laws and Painlevé analysis for Klein–Gordon–Zakharov equations in (3 + 1)-dimension
(Springer, 2019)In this paper, we study Klein–Gordon–Zakharov equations which describe the propagation of strong turbulence of the Langmuir wave in a high-frequency plasma. Using the symbolic manipulation tool Maple, the classifications ... -
Highly Dispersive Optical Solitons in the Absence of Self-Phase Modulation by Lie Symmetry
(MDPI, 2023-04-10)The paper revisits highly dispersive optical solitons that are addressed by the aid of Lie symmetry followed by the implementation of the Riccati equation approach and the improved modified extended tanh-function approach. ... -
Highly dispersive W�shaped and other optical solitons with quadratic�cubic nonlinearity: Symmetry analysis and new Kudryashov's method
(Elsevier Ltd, 2023-06-24)Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic�cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of ... -
Homogeneous Finsler space with infinite series (?,?)-metric
(Balkan Society of Geometers, 2019)In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series (?, ?)-metric. Next, we deduce an explicit formula for the the S-curvature of homogeneous Finsler ... -
Homogeneous Finsler space with infinite series (α, β)-metric
(Balkan Society of Geometers, 2019)In this paper, first we prove the existence of invariant vector field on a homogeneous Finsler space with infinite series (?, ?)-metric. Next, we deduce an explicit formula for the the S-curvature of homogeneous Finsler ... -
Hyers�Ulam stability and existence of solution for hybrid fractional differential equation with p-Laplacian operator
(Elsevier Ltd, 2022-02-10)This manuscript studies the hybrid fractional differential equations (FDEs) with the p-Laplacian operator. The main aim of this research work is to establish the existence and uniqueness(EU) results as well as to analyze ... -
Impact of Economic Growth, Trade Openness, Urbanization and Energy Consumption on Carbon Emissions: A Study of India
(MDPI, 2023-06-02)(1) Background: Global warming is one of the most severe environmental problems humans are facing now. This study aims to assess the impacts of economic growth, trade openness, urbanization, and energy consumption on carbon ...