Browsing Mathematics and Statistics-Research Publications by Title
Now showing items 188-207 of 208
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Straddled optical solitons for cubic�quartic Lakshmanan�Porsezian�Daniel model by Lie symmetry
(Elsevier B.V., 2021-09-22)This study obtains straddled singular�bright optical solitons to cubic�quartic Lakshmanan�Porsezian�Daniel equation by Lie symmetry analysis. The reduced ordinary differential equations are handled using Kudryashov's method. ... -
Study for particular solutions of cylindrical shock waves in magnetogasdynamics
(Physical Society of the Republic of China, 2020-12-30)In this research article, a problem of shock waves propagation in magnetogasdynamics is considered in ideal gas. The problem can be represented by hyperbolic non-linear system of partial differential equations (PDEs). It ... -
Study of Hilfer fractional evolution equations by the properties of controllability and stability
(Elsevier B.V., 2021-03-06)This paper is devoted to discuss Hilfer fractional evolution equations through its controllability and stability in a Banach space. We achieve our claims and conclusions by first demonstrating the nature and uniqueness of ... -
A study on canine distemper virus (CDV) and rabies epidemics in the red fox population via fractional derivatives
(Elsevier B.V., 2021-05-05)Several deadly epidemics that have recognized as serious problems all over the world in the last few decades. Lassa hemorrhagic fever, coronavirus, dengue fever, malaria, and HIV are well-known deadly diseases in humans. ... -
A study on controllability for Hilfer fractional differential equations with impulsive delay conditions
(American Institute of Mathematical Sciences, 2022-12-05)This article focuses on the controllability of a Hilfer fractional impulsive differential equation with indefinite delay. We analyze our major outcomes using fractional calculus, the measure of non-compactness and a ... -
A Study on the 3D Hopfield Neural Network Model via Nonlocal Atangana-Baleanu Operators
(Hindawi Limited, 2022-07-07)Hopfield neural network (HNN) is considered as an artificial model derived from the brain structures and it is an important model that admits an adequate performance in neurocomputing. In this article, we solve a dynamical ... -
A study on the geometry of totally umbilical (TU) screen-transversal (ST) lightlike submanifolds of metallic semi-Riemannian manifolds
(American Institute of Physics Inc., 2022-03-19)We scrutinize geometry of TU screen-transversal(ST) lightlike submanifolds. Two classes, TU radical ST lightlike submanifolds and TU ST anti-invariant lightlike submanifolds, are studied. The necessary and sufficient ... -
Study on warped product of screen real lightlike submanifolds of a Golden semi-Riemannian manifold
(Balkan Society of Geometers, 2022-03-01)The geometry of screen-real lightlike submanifolds of a golden semi-Riemannian manifold is investigated in this research. On screen semiinvariant lightlike submanifolds of a golden semi-Riemannian manifold, the intergrability ... -
Symmetry analysis of some nonlinear generalised systems of space–time fractional partial differential equations with time-dependent variable coefficients
(Springer, 2019)In this paper, the Lie group analysis method is applied to carry out the Lie point symmetries of some space–time fractional systems including coupled Burgers equations, Ito’s system, coupled Korteweg–de-Vries (KdV) equations, ... -
Symmetry Analysis of Variable-Coefficient Time-Fractional Nonlinear Systems of Partial Differential Equations
(Pleiades Publishing, 2018)We investigate some well-known variable-coefficient time-fractional nonlinear systems of partial differential equations using the Lie symmetry method and derive their symmetries and reductions into fractional nonlinear ... -
Symmetry analysis, explicit power series solutions and conservation laws of space-time fractional variant Boussinesq system
(Springer, 2018)In this study, the classical Lie symmetry method is successfully applied to investigate the symmetries of the space-time fractional variant Boussinesq system which was introduced as a model of water waves. With the help ... -
Symmetry reduction, conservation laws and power series solution of time-fractional variable coefficient Caudrey�Dodd�Gibbon�Sawada�Kotera equation
(Springer Medizin, 2021-10-13)In this paper, Lie classical approach is utilized for the symmetry reduction of time-fractional variable coefficient Caudrey�Dodd�Gibbon�Sawada�Kotera equation. The obtained symmetries and Erde� lyi�Kober fractional ... -
Time fractional (2+1)-dimensional Wu-Zhang system: Dispersion analysis, similarity reductions, conservation laws, and exact solutions
(Elsevier Ltd, 2020)This paper examines the time fractional (2+1)-dimensional Wu –Zhang system describing dispersive long waves. The dispersion relation of waves has been obtained from linear analysis and used to find the phase and group ... -
Time fractional (2+1)-dimensional Wu�Zhang system: Dispersion analysis, similarity reductions, conservation laws, and exact solutions
(Elsevier Ltd, 2019)This paper examines the time fractional (2+1)-dimensional Wu�Zhang system describing dispersive long waves. The dispersion relation of waves has been obtained from linear analysis and used to find the phase and group ... -
Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution
(Elsevier, 2019)In this work, we studied time fractional Biswas–Milovic equation (FBME) which describes the long distance optical communication with Kerr law nonlinearity. We analyzed group analysis of equation by using Lie symmetry ... -
Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution
(Elsevier GmbH, 2019)In this work, we studied time fractional Biswas–Milovic equation (FBME) which describes the long distance optical communication with Kerr law nonlinearity. We analyzed group analysis of equation by using Lie symmetry ... -
The time fractional D(m,n) system: invariant analysis, explicit solution, conservation laws and optical soliton
(Taylor and Francis Ltd., 2020-09-16)In this article, a generalized Drinfeld�Sokolov system, also called (Formula presented.) system which describes the anomalous propagation of nonlinear surface gravity waves over horizontal seabed, is investigated. The Lie ... -
Transmission dynamics of a novel fractional model for the Marburg virus and recommended actions
(Springer Science and Business Media Deutschland GmbH, 2023-08-02)Marburg virus disease is a particularly virulent illness that causes hemorrhagic fever and has a fatality rate of up to 88%. It belongs to the same family of pathogens as the Ebola virus. The disease was first identified ... -
Ultimate Ruin Probability for Benktander Gibrat Risk Model
(Springer, 2022-04-13)In actuarial science and finance, the derivation of ultimate ruin probability for various loss distributions is of key interest. There are many methods available in literature for evaluating ultimate ruin probability for ...