Browsing Mathematics and Statistics-Research Publications by Title
Now showing items 1-20 of 208
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A (2+1)-dimensional combined KdV�mKdV equation: integrability, stability analysis and soliton solutions
(Springer Science and Business Media B.V., 2022-01-10)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 ... -
A (2+1)-dimensional Kadomtsev�Petviashvili equation with competing dispersion effect: Painlev� analysis, dynamical behavior and invariant solutions
(Elsevier B.V., 2021-03-09)In this paper, we concern ourselves with the nonlinear Kadomtsev�Petviashvili equation (KP) with a competing dispersion effect. First we examine the integrability of governing equation via using the Painlev� analysis. We ... -
The (3 + 1)-dimensional Benjamin-Ono equation: Painlev� analysis, rogue waves, breather waves and soliton solutions
(World Scientific, 2022-06-08)In this paper, we analyzed the (3 + 1)-dimensional Benjamin-Ono (BO) equation. We first demonstrated that the governing model is not integrable in the Painlev� sense. The rogue wave and the breather wave solutions are then ... -
The analysis of a time delay fractional COVID-19 model via Caputo type fractional derivative
(John Wiley and Sons Ltd, 2020-10-16)Novel coronavirus (COVID-19), a global threat whose source is not correctly yet known, was firstly recognised in the city of Wuhan, China, in December 2019. Now, this disease has been spread out to many countries in all ... -
Analysis of the far-field behavior of waves in magnetogasdynamic
(American Institute of Mathematical Sciences, 2023-01-13)Herein the research objects, a hyperbolic quasi-linear system of governing equations was solved by an asymptotic method (far-field technique) with explaining a 1-D unsteady planar and cylindrically symmetric flows in ... -
Analytic Solution for the Strongly Nonlinear Multi-Order Fractional Version of a BVP Occurring in Chemical Reactor Theory
(Hindawi Limited, 2022-06-18)This study is devoted to constructing an approximate analytic solution of the fractional form of a strongly nonlinear boundary value problem with multi-fractional derivatives that comes in chemical reactor theory. We ... -
Application of new Kudryashov method to various nonlinear partial differential equations
(Springer, 2022-11-13)The purpose of this work is to seek various innovative exact solutions using the new Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This technique obtains novel exact solutions of soliton ... -
Bayesian inference of Unit Gompertz distribution based on dual generalized order statistics
(Taylor and Francis Ltd., 2021-06-28)In this article, we consider the estimation problem of Unit Gompertz distribution with parameters ? and ? under the framework of dual generalized order statistics. This article is purely devoted to present the Bayesian ... -
A Bivariate Teissier Distribution: Properties, Bayes Estimation and Application
(Springer, 2023-08-29)This article presents a bivariate extension of the Teissier distribution, whose univariate marginal distributions belong to the exponentiated Teissier family. Analytic expressions for the different statistical quantities ... -
A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives
(Springer Science and Business Media Deutschland GmbH, 2021-07-20)In this study, our aim is to explore the dynamics of COVID-19 or 2019-nCOV in Argentina considering the parameter values based on the real data of this virus from March�03, 2020 to March�29, 2021 which is a data range of ... -
A case study of Covid-19 epidemic in India via new generalised Caputo type fractional derivatives
(John Wiley and Sons Ltd, 2021-02-20)The first symptomatic infected individuals of coronavirus (Covid-19) was confirmed in December 2020 in the city of Wuhan, China. In India, the first reported case of Covid-19 was confirmed on 30 January 2020. Today, ... -
Characteristic Properties of the Indicatrix Under a Kropina Change of Finsler Metric
(Chinese Academy of Sciences: Beijing, China, 2018)The theory of β−change in Finsler geometry was first introduced by C. Shibata in [13]. In this paper, we study the behaviour of Indicatrices under a special β−change, known as Kropina change of Finsler metric. -
Comment on "On the conservation laws and invariant analysis for time-fractional coupled Fitzhugh-Nagumo equations using the Lie symmetry analysis" by S. Sahoo and S. S. Ray
(Springer, 2020)This comment deals with '' On the conservation laws and invariant analysis for time-fractional coupled Fitzhugh-Nagumo equations using Lie symmetry analysis'' by Sahoo and Ray (Eur Phys J Plus 134:83, 2019). The authors ... -
Comment on “Lie symmetries and group classification of a class of time fractional evolution systems” [J. Math. Phys. 56, 123504 (2015)]
(Springer, 2017)In this article, the prolongation formulae proposed in Huang and Shen [J. Math. Phys. 56, 123504 (2015)] for the analysis of time fractional systems of are proved incomplete and the required correct prolongation operators ... -
Comment on “Time fractional third-order variant Boussinesq system: Symmetry analysis, explicit solutions, conservation laws and numerical approximations” by Fairouz Tchier et al.
(Springer Verlag, 2019)[No abstract available] -
A complex fractional mathematical modeling for the love story of Layla and Majnun
(Elsevier Ltd, 2021-06-16)In this article, we provide numerical simulations to show the importance and the effects of fractional order derivatives in psychological studies. As it is well-known, complex variables are more realistic for defining ... -
COMPUTATIONAL STUDY OF FRACTIONAL-ORDER VECTOR BORNE DISEASES MODEL
(World Scientific, 2022-01-25)In this paper, we solve a nonlinear fractional-order model for analyzing the dynamical behavior of vector-borne diseases within the frame of Caputo-fractional derivative. The proposed mathematical model advances the existing ... -
Conformal Anti-Invariant Riemannian Maps from or To Sasakian Manifolds
(Pleiades Publishing, 2023-07-12)Abstract: In this article, we introduce conformal anti-invariant Riemannianmaps from or to Sasakian manifolds to or from Riemannianmanifolds. We construct examples of such maps for justification.We study the geometry of ...