Browsing Department of Mathematics and Statistics by Title
Now showing items 153-172 of 208
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Painlevé analysis and invariant solutions of Vakhnenko–Parkes (VP) equation with power law nonlinearity
(Springer, 2016)The Vakhnenko–Parkes (VP) equation with power law nonlinearity is analyzed for Painlevé test and for Lie symmetries. The Painlevé analysis of Vakhnenko–Parkes equation with power law nonlin- earity is performed by the ... -
A panel of blood-based circulatory miRNAs with diagnostic potential in patients with psoriasis
(Frontiers Media SA, 2023-08-28)Psoriasis is a chronic inflammatory skin disease with keratinocyte hyperproliferation and T cells as key mediators of lesional and systemic inflammatory changes. To date, no suitable differential biomarkers are available ... -
Parameteric Estimation for Reliability Function of Phased Mission Systems with Series Network
(World Scientific, 2022-12-20)In this paper, we consider a phased mission system consisting of k phases (subsystems) wherein the control flows sequentially. The mission is successful if tasks associated with every phase are successful. Density and ... -
Potential environmental toxicant exposure, metabolizing gene variants and risk of PCOS-A systematic review
(Elsevier Inc., 2021-06-11)Exposure of environmental toxicants such as potentially toxic metals and pesticides have largely been attributed to produce adverse effects on general women's health and to be more precise on the reproductive system. In ... -
Prediction studies of the epidemic peak of coronavirus disease in Brazil via new generalised Caputo type fractional derivatives
(Elsevier B.V., 2021-02-05)The first reported case of coronavirus disease (COVID-19) in Brazil was confirmed on 25 February 2020 and then the number of symptomatic cases produced day by day. In this manuscript, we studied the epidemic peaks of the ... -
Prediction studies of the epidemic peak of coronavirus disease in Japan: From Caputo derivatives to Atangana-Baleanu derivatives
(World Scientific, 2021-09-30)New atypical pneumonia caused by a virus called Coronavirus (COVID-19) appeared in Wuhan, China in December 2019. Unlike previous epidemics due to the severe acute respiratory syndrome (SARS) and the Middle East respiratory ... -
A probabilistic generalization of the Bell polynomials
(Springer Science and Business Media B.V., 2023-09-06)Motivated by an interconnection between the probabilistic Stirling numbers of the second kind and the Bell polynomials studied by Adell and Lekuona (in J Number Theory 194:335�355, 2019), we present a probabilistic ... -
Projections and fractional dynamics of COVID-19 with optimal control strategies
(Elsevier Ltd, 2021-01-28)When the entire world is eagerly waiting for a safe, effective and widely available COVID-19 vaccine, unprecedented spikes of new cases are evident in numerous countries. To gain a deeper understanding about the future ... -
Projections and fractional dynamics of the typhoid fever: A case study of Mbandjock in the Centre Region of Cameroon
(Elsevier Ltd, 2021-06-21)In this work, we formulate a mathematical model with a non-integer order derivative to investigate typhoid fever transmission dynamics. To combat the spread of this disease in the human community, control measures like ... -
Projectively Flat Finsler Spaces with Transformed Metrics
(Iranian Academic Center for Education, Culture and Research, 2023-08-02)In this paper, we consider some special Finsler spaces obtained via Randers-? change. First, we find the fundamental metric tensor and Cartan tensor of these metrics. Next, we establish a general formula for the inverse ... -
A public and private key image encryption by modified approach of Vigener cipher and the chaotic maps
(Taylor and Francis Ltd., 2023-02-16)The article presents a real-time image encryption using a modified approach of Vigen�re cipher and the chaotic maps with an efficient key management. The modification is provided to Vigen�re cipher through the key expansion ... -
Pure-cubic optical soliton perturbation with full nonlinearity by a new generalized approach
(Elsevier GmbH, 2022-03-18)This work introduces a new generalized integration scheme to construct the pure-cubic optical solitons in a polarization-preserving fiber with Kerr law nonlinearity. First, Lie symmetry analysis is performed to find the ... -
A re-visitation to reported results on optical solitons
(Elsevier, 2020)This corrigendum is to provide the generalized symmetries of equations considered in the some of recent published papers. Also, corresponding to the generalized symmetries for Kundu-Mukherjee-Naskar equation and ... -
Record-based transmuted generalized linear exponential distribution with increasing, decreasing and bathtub shaped failure rates
(Taylor and Francis Ltd., 2022-07-29)The linear exponential distribution is a generalization of the exponential and Rayleigh distributions. This distribution is one of the best models to fit data with increasing failure rate (IFR). But it does not provide a ... -
Residual Power Series Solution of Fractional bi-Hamiltonian Boussinesq System
(Springer Science and Business Media Deutschland GmbH, 2020-09-30)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 bi-Hamiltonian Boussinesq ... -
Resiliency and Nonlinearity Profiles of Some Cryptographic Functions
(MDPI, 2022-11-28)Boolean functions are important in terms of their cryptographic and combinatorial properties for different kinds of cryptosystems. The nonlinearity and resiliency of cryptographic functions are crucial criteria with respect ... -
REVERSIBLE GEODESICS OF FINSLER SPACES WITH A SPECIAL (α, β)-METRIC
(Calcutta Mathematical Society, 2017)A Finsler space is said to have reversible geodesics if for every one of its oriented geodesic paths, the same path traversed in the opposite sense is also a geodesic. In the last decade some work has been done on the ... -
Short-term forecasting of the COVID-19 outbreak in India
(Oxford University Press, 2021-05-28)As the outbreak of coronavirus disease 2019 (COVID-19) is rapidly spreading in different parts of India, a reliable forecast for the cumulative confirmed cases and the number of deaths can be helpful for policymakers in ... -
A Simple Probabilistic Proof for the Alternating Convolution of the Central Binomial Coefficients
(American Statistical Association, 2018)This note presents a simple probabilistic proof of the identity for the alternating convolution of the central binomial coefficients. The proof of the identity involves the computation of moments of order n for the product ... -
Soliton and quasi-periodic wave solutions for b-type Kadomtsev–Petviashvili equation
(Springer, 2017)In this paper, truncated Laurent expansion is used to obtain the bilinear equation of a nonlinear evolution equation. As an application of Hirota’s method, multisoliton solutions are constructed from the bilinear equation. ...