Browsing Department of Mathematics and Statistics by Title
Now showing items 73-92 of 208
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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 ... -
The integrable Boussinesq equation and it�s breather, lump and soliton solutions
(Springer Science and Business Media B.V., 2022-01-17)The fourth-order nonlinear Boussinesq water wave equation, which explains the propagation of long waves in shallow water, is explored in this article. We used the Lie symmetry approach to analyze the Lie symmetries and ... -
Invariance analysis, exact solution and conservation laws of (2 + 1) dim fractional kadomtsev-petviashvili (kp) system
(MDPI AG, 2021-03-16)In this work, a Lie group reduction for a (2 + 1) dimensional fractional Kadomtsev-Petviashvili (KP) system is determined by using the Lie symmetry method with Riemann Liouville derivative. After reducing the system into ... -
Invariance properties, conservation laws, and soliton solutions of the time-fractional (2 + 1) -dimensional new coupled ZK system in magnetized dusty plasmas
(Springer Science and Business Media, LLC, 2018)This paper investigates time-fractional (2+1)-dimensional new coupled Zakharov–Kuznetsov system for the invariance properties, conservation laws, and soliton solutions. Lie infinitesimal symmetries and corresponding ... -
Invariant Analysis for Space�Time Fractional Three-Field Kaup�Boussinesq Equations
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)Symmetries of the nonlinear fractional�differential equations are an interesting�and important topic. In this paper, space�time fractional three-field Kaup�Boussinesq equations with Riemann�Liouville fractional derivative ... -
Invariant Bianchi type I cosmological models and conservation laws in f(R,T)=f1(R)+f2(R)f3(T) gravity
(Elsevier B.V., 2023-05-12)f(R,T) theory of gravity can explain the dark energy and the observed late time acceleration of the universe even without cosmological constant. It passes the solar system test and appears to be an alternative of dark ... -
Invariant soliton solutions for the coupled nonlinear Schr�dinger type equation
(Elsevier B.V., 2022-12-08)The Schr�dinger equation is an essential model in quantum mechanics. It simulates fascinating nonlinear physical phenomena, such as shallow-water waves, hydrodynamics, harmonic oscillator, nonlinear optics, and quantum ... -
Invariant solutions and bifurcation analysis of the nonlinear transmission line model
(Springer Science and Business Media B.V., 2021-09-03)In this paper, the nonlinear transmission line model with the power law nonlinearity and the constant capacitance and voltage relationship is studied using Lie symmetry analysis. Corresponding to the infinitesimals obtained, ... -
Invariant solutions and conservation laws of Einstein field equations in non-comoving radiation fields
(Physical Society of the Republic of China, 2021-01-08)The exact non-static accelerating solutions of Einstein field equations in non-comoving pure radiation fields, corresponding to an indefinite non-degenerate metric in cartesian coordinates, are obtained. The gravitational ... -
Invariant solutions of Biswas-Milovic equation
(Springer Netherlands, 2017)The Biswas-Milovic equation in generalized form and with power law nonlinearity is analyzed for Lie symmetries. The classical Lie group method is applied to derive symmetries of this equation, and the ordinary differential ... -
Invariant solutions of Einstein field equations in pure radiation fields
(Springer, 2021-03-06)The exact static accelerating solutions of Einstein�s equations in the non-comoving pure radiation fields, with an indefinite non-degenerate stationary metric in cylindrical coordinates, are obtained. The considered ... -
Invariant traveling wave solutions of parity-time-symmetric mixed linear-nonlinear optical lattices with three types of nonlinearity
(Institute of Physics Publishing, 2019)This paper focuses on the complex nonlinear Schrö dinger equation for the propagation of optical pulses in the nonlinear media with imprinted parity-time symmetric mixed linear-nonlinear optical lattices. Three types of ... -
Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation
(IntechOpen, 2018)The fifth order non-linear partial differential equation in generalized form is analyzed for Lie symmetries. The classical Lie group method is performed to derive similarity variables of this equation and the ordinary ... -
Investigation of the Association of Serum Trace Elements Concentrations and Serum Biochemical Parameters with the Risk of Polycystic Ovary Syndrome: a Case�Control Study
(Springer, 2023-04-17)Polycystic ovary syndrome (PCOS) is a heterogeneous endocrinological syndrome characterized by hyperandrogenism of ovarian origin and is often considered a predisposing factor for metabolic disorders. The objective of the ... -
An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds
(Emerald Publishing, 2021-04-09)Purpose � The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these submanifolds are warped product lightlike ... -
Lassa hemorrhagic fever model using new generalized Caputo-type fractional derivative operator
(World Scientific, 2021-07-02)In some of the previous decades, we have observed that mathematical modeling has become one of the most interesting research fields and has attracted many researchers. In this regard, thousands of researchers have proposed ... -
(m,�n)-Paranormal Composition Operators
(Springer, 2022-03-22)In this paper, we prove some characterizations for the class of (m,�n)-paranormal operators acting on the complex Hilbert space H. The class of (m,�n)-paranormal operators is characterized in terms of the Radon�Nikodym ... -
A malaria model with Caputo-Fabrizio and Atangana-Baleanu derivatives
(World Scientific, 2020-11-02)In this paper, we study two fractional models in the Caputo-Fabrizio sense and Atangana-Baleanu sense, in which the effects of malaria infection on mosquito biting behavior and attractiveness of humans are considered. Using ... -
Mathematical structure of mosaic disease using microbial biostimulants via Caputo and Atangana�Baleanu derivatives
(Elsevier B.V., 2021-04-21)In this research collection, we analysed two different fractional non-linear mathematical models of a well-known mosaic epidemic of plants, which is underlying by begomoviruses and is distributed to plants by whitefly. We ... -
A mathematical study of a tuberculosis model with fractional derivatives
(World Scientific, 2021-02-04)In this work, we use a Predictor-Corrector method to implement and derive an iterative solution of an existing Tuberculosis (TB) model with two fractional derivatives, namely, Caputo-Fabrizio fractional derivative and the ...