Department of Mathematics and Statistics
Collections in this Department
Recent Submissions

Stability and bifurcation analysis of a fractionalorder model of celltocell spread of HIV1 with a discrete time delay
(Wiley, 2022)In this manuscript, fractional order is introduced onto a timedelay differential equation model of celltocell spread of HIV1. The fractional derivative of Caputo type is considered. We deal with the local stability of ... 
A diagnostic and prognostic value of bloodbased circulating long noncoding RNAs in thyroid, pancreatic and ovarian cancer
(Elsevier, 2022)Several studies have demonstrated the potential of circulating long noncoding RNAs (lncRNAs) as promising cancer biomarkers. Herein, we addressed the regulatory role of circulating lncRNAs and their potential value as ... 
The time fractional D(m,n) system: invariant analysis, explicit solution, conservation laws and optical soliton
(Taylor and Francis, 2022)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 ... 
Ultimate Ruin Probability for Benktander Gibrat Risk Model
(Springer, 2022)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 ... 
Prediction studies of the epidemic peak of coronavirus disease in Japan: From Caputo derivatives to AtanganaBaleanu derivatives
(World Scientific, 2022)New atypical pneumonia caused by a virus called Coronavirus (COVID19) appeared in Wuhan, China in December 2019. Unlike previous epidemics due to the severe acute respiratory syndrome (SARS) and the Middle East respiratory ... 
Optimal system, dynamical behaviors and exact solution of a nonlinear transmission line model by applying the Lie symmetry method
(Springer, 2022)Transmission lines are used for purposes such as connecting radio transmitters and receivers with their antennas, distributing cable television signals, trunk lining routing calls between telephone switching centers, ... 
On the Reversible Geodesics for a Finsler Space with Randers Change of Quartic Metric
(Chiang Mai University, 2022)In this paper, we consider a Finsler space with a Randers change of Quartic metric F =4 √α4+β4+β. The conditions for this space to be with reversible geodesics are obtained. Further, we study some geometrical properties ... 
A (2+1)dimensional combined KdV–mKdV equation: integrability, stability analysis and soliton solutions
(Springer, 2022)In this study, the (2+1)dimensional combined Korteweg–de Vries and modified Korteweg–de Vries equation has been considered for the first time. Firstly, we check the integrability of the governing equation. Then, we generate ... 
On the existence and uniqueness of a nonlinear q difference boundary value problem of fractional order
(World Scientific, 2022)In this research collection, we estimate the existence of the unique solution for the boundary value problem of nonlinear fractional qdifference equation having the given form cD qζv(t)  h(t,v(t))=0, 0 ≤ t ≤ 1, α1v(0) + ... 
The integrable Boussinesq equation and it’s breather, lump and soliton solutions
(Springer, 2022)The fourthorder 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 ... 
Doubly periodic wave structure of the modified Schrödinger equation with fractional temporal evolution
(Elsevier, 2022)Abundant Jacobi elliptic type solutions with distinct physical structures of complex nonlinear conformable timefractional modified Schrödinger equation are obtained by using the generalized Jacobi elliptic function (GJEF) ... 
Fractional dynamics of 2019nCOV in Spain at different transmission rate with an idea of optimal control problem formulation
(Elsevier, 2022)In this article, we studied the fractional dynamics of the most dangerous deathly disease which outbreaks have been recorded all over the world, called 2019nCOV or COVID19. We used the numerical values of the given ... 
Cubic–Quartic Optical Soliton Perturbation with Differential Group Delay for the Lakshmanan–Porsezian–Daniel Model by Lie Symmetry
(MDPI, 2022)This paper employs Lie symmetry analysis to recover cubic–quartic optical soliton solutions to the Lakshmanan–Porsezian–Daniel model in birefringent fibers. The results are a sequel to the previously reported work on the ... 
Invariant solutions of Einstein field equations in pure radiation fields
(Springer, 2022)The exact static accelerating solutions of Einstein’s equations in the noncomoving pure radiation fields, with an indefinite nondegenerate stationary metric in cylindrical coordinates, are obtained. The considered ... 
Hyers–Ulam stability and existence of solution for hybrid fractional differential equation with pLaplacian operator
(Elsevier, 2022)This manuscript studies the hybrid fractional differential equations (FDEs) with the pLaplacian operator. The main aim of this research work is to establish the existence and uniqueness(EU) results as well as to analyze ... 
A new study on two different vaccinated fractionalorder COVID19 models via numerical algorithms
(Elsevier, 2022)The main purpose of this paper is to provide new vaccinated models of COVID19 in the sense of CaputoFabrizio and new generalized Caputotype fractional derivatives. The formulation of the given models is presented including ... 
Purecubic optical soliton perturbation with full nonlinearity by a new generalized approach
(Elsevier, 2022)This work introduces a new generalized integration scheme to construct the purecubic optical solitons in a polarizationpreserving fiber with Kerr law nonlinearity. First, Lie symmetry analysis is performed to find the ... 
Soliton solutions of (2+1) and (3+1)dimensional KdV and mKdV equations
(American Institute of Physics Inc., 2022)In this paper, we investigate the (2+1) and (3+1)dimensional Kortewegde Vries (KdV) and modified Kortewegde Vries (mKdV) equations. Firstly these equations are converted into ordinary differential equations via traveling ... 
A study on the geometry of totally umbilical (TU) screentransversal (ST) lightlike submanifolds of metallic semiRiemannian manifolds
(American Institute of Physics Inc., 2022)We scrutinize geometry of TU screentransversal(ST) lightlike submanifolds. Two classes, TU radical ST lightlike submanifolds and TU ST antiinvariant lightlike submanifolds, are studied. The necessary and sufficient ... 
SpaceTime Fractional KdV–Burger–Kuramato Equation with Time Dependent Variable Coefficients: Lie Symmetry, Explicit Power Series Solution, Convergence Analysis and Conservation Laws
(Springer, 2022)In this paper, Lie symmetry reduction, power series solutions, convergence analysis and conservation laws have been examined for the spacetime fractional KdV–Burger–Kuramato equation with time dependent variable coefficients. ...