Department of Mathematics and Statistics
Collections in this Department
Recent Submissions

Symmetry Analysis and Conservation Laws of Some Space Time Fractional Differential Equations
(Central University of Punjab, 2021)This research is dedicated to obtain Lie symmetries reduction, conservation newlinelaws, exact and approximate solution of some equations or system of nonlinear newlinefractional order partial differential equations (PDEs) ... 
Fractional dynamics of huanglongbing transmission within a citrus tree
(John Wiley and Sons, 2021)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 ... 
Conservation laws and series solutions of variable coefficient time fractional Kawahara equation
(Taylor and Francis, 2021)This paper investigates explicit power series solutions and conservation laws of variable coefficient time fractional Kawahara equation with Riemann�Liouville derivative which describs oscillatory solitary wave propagation ... 
A new Painlev� integrable BroerKaup system: symmetry analysis, analytic solutions and conservation laws
(Emerald, 2021)Purpose: This study aims to find the symmetries and conservation laws of a new Painlev� integrable BroerKaup (BK) system with variable coefficients. This system is an extension of dispersive long wave equations. As the ... 
On soft closed graph and its characterizations
(ForumEditrice Universitaria Udinese SRL, 2021)In this paper, we first introduce soft graph and soft closed graph of a soft mapping. Among other results, we obtain characterization of soft closed graph of identity soft mapping and characterization of softclosedness ... 
A malaria model with CaputoFabrizio and AtanganaBaleanu derivatives
(World Scientific, 2021)In this paper, we study two fractional models in the CaputoFabrizio sense and AtanganaBaleanu 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, 2021)In this research collection, we analysed two different fractional nonlinear mathematical models of a wellknown mosaic epidemic of plants, which is underlying by begomoviruses and is distributed to plants by whitefly. We ... 
A new fractional mathematical modelling of COVID19 with the availability of vaccine
(Elsevier, 2021)The most dangerous disease of this decade novel coronavirus or COVID19 is yet not over. The whole world is facing this threat and trying to stand together to defeat this pandemic. Many countries have defeated this virus ... 
New exact static solutions of EinsteinMaxwell field equations with a magnetic dipole
(Elsevier, 2021)The Bonnor field shed light on imposition of two magnetic poles, both with mass m, and strengths m and m, that are situated at a coordinate distance 2b on a symmetry axis. With the addition of an external magnetic field, ... 
A study on canine distemper virus (CDV) and rabies epidemics in the red fox population via fractional derivatives
(Elsevier, 2021)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 wellknown deadly diseases in humans. ... 
Cubicquartic optical solitons with Kudryashov's law of refractive index by Lie symmetry analysis
(Elsevier, 2021)In this work, Kudryashov's equation with thirdorder dispersion and fourthorder dispersion was studied via Lie symmetry analysis. First, similarity transformation helps us to converted governing equation into a system of ... 
Exact Series Solutions and Conservation Laws of Time Fractional Three Coupled KdV System
(Springer, 2021)The explicit series solutions of fractional�order nonlinear three�coupled KdV system are investigated by using power series expansion and group analysis. The nontrivial and nonlocal conservation laws are also determined ... 
A note on optimal systems of certain lowdimensional Lie algebras
(De Gruyter Open Ltd, 2021)Optimal classifications of Lie algebras of some wellknown equations under their group of inner automorphism are reconsidered. By writing vector fields of some known Lie algebras in the abstract format, we have proved ... 
Conservation Laws of Einstein�s Field Equations for Pure Radiation Fields
(Springer, 2021)In the present paper, conservation laws of some of Einstein�s field equations are�obtained. Two methods are used to obtain conservation�laws. Firstly, direct method via multiplier approach is used and then, new conservation ... 
Invariant Analysis for Space�Time Fractional ThreeField Kaup�Boussinesq Equations
(Springer, 2021)Symmetries of the nonlinear fractional�differential equations are an interesting�and important topic. In this paper, space�time fractional threefield Kaup�Boussinesq equations with Riemann�Liouville fractional derivative ... 
On Invariant Analysis, Symmetry Reduction and Conservation Laws of�Nonlinear Buckmaster Model
(Springer, 2021)In this work, a systematic investigation�on invariant analysis of Buckmaster model, raised�in mathematical physics, is performed. A general set�of symmetries and corresponding reductions of the considered equation are ... 
COVID19 pandemic: An outlook on its impact on air quality and its association with environmental variables in major cities of Punjab and Chandigarh, India
(Bellwether Publishing, Ltd., 2021)The present study aims to evaluate the impact of COVID19 lockdown on air quality and to explore the association of daily COVID19 confirmed cases with meteorological parameters and criteria pollutants in the major cities ... 
Residual Power Series Solution of Fractional biHamiltonian Boussinesq System
(Springer, 2021)In this paper, the residual power series method (RPSM) which is based on the�generalized Taylor�s series formula has been used to investigate the approximated analytical solution for the fractional biHamiltonian Boussinesq ... 
A case study of Covid19 epidemic in India via new generalised Caputo type fractional derivatives
(John Wiley and Sons Ltd, 2021)The first symptomatic infected individuals of coronavirus (Covid19) was confirmed in December 2020 in the city of Wuhan, China. In India, the first reported case of Covid19 was confirmed on 30 January 2020. Today, ... 
On the Mild Solutions of Impulsive Semilinear Fractional Evolution Equations
(Springer, 2021)In this manuscript, we establish the existence result of mild solutions for semilinear fractional evolution equations of order 1 < ?< 2 with impulsive conditions. The existence result is obtained by means of analytic ...