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| 1 | Assessment of Antioxidant Potential, Total Phenolics and Flavonoids of Different Solvent Fractions of Monotheca Buxifolia Fruit显示文摘 | Shumaila Jan Muhammad Rashid Khan Umbreen Rashid | 2013 | Osong Public Health and Research Perspectives2013，4，5： | 1 |
| 2 | The Investigation of the Fractional-View Dynamics of Helmholtz Equations Within Caputo Operator显示文摘It is eminent that partial differential equations are extensively meaningful in physics,mathematics and engineering.Natural phenomena are formulated with partial differential equations and are solved analytically or numerically to interrogate the system’s dynamical behavior.In the present research,mathematical modeling is extended and the modeling solutions Helmholtz equations are discussed in the fractional view of derivatives.First,the Helmholtz equations are presented in Caputo’s fractional derivative.Then Natural transformation,along with the decomposition method,is used to attain the series form solutions of the suggested problems.For justification of the proposed technique,it is applied to several numerical examples.The graphical representation of the solutions shows that the suggested technique is an accurate and effective technique with a high convergence rate than other methods.The less calculation and higher rate of convergence have confirmed the present technique’s reliability and applicability to solve partial differential equations and their systems in a fractional framework. | Rashid Jan Hassan Khan Poom Kumam Fairouz Tchier Rasool Shah Haifa Bin Jebreen | 2021 | Computers, Materials & Continua2021，，9： | 0 |
| 3 | Fractional-calculus analysis of human immunodeficiency virus and CD4+T-cells with control interventions显示文摘It is undeniable that HIV infection has been a censorious public health concern over the past four decades.It is reported that HIV is the main reason for AIDs which has decimated the global population of humans and imposed a significant economic burden on affected areas.Hence,it is significant to study the transmission of HIV viruses in the body of a human host.In this study,we use a fractional framework to organise the intricate interactions of CD4^(+)T-cells and HIV viruses in order to investigate HIV infection with control interventions.We apply the operators of Caputo and Atangana–Baleanu to interrogate the transmission phenomena of HIV viruses.For the analysis of our system,we present the basic concepts of the fractional operators.Numerical schemes are provided to show the solution pathways of the system with the variation of input parameters.Furthermore,the findings emphasise the chaotic and dynamical behaviour of HIV.We run several simulations to visualise the influence of input factors and quantitatively illustrated the dynamics of HIV.Chaos and oscillatory behaviour are intimately linked,and this is owing to the system’s nonlinearity.Furthermore,our findings indicate the most important factors for infection control and prevention. | Rashid Jan Salah Boulaaras Syed Azhar Ali Shah | 2022 | Communications in Theoretical Physics2022，74，10： | 0 |
| 4 | A new generalized version of Log-logistic distribution with applications in medical sciences and other applied fields显示文摘In this paper,we studied a two-parameter transmuted model of Log-logistic distribution(LLD)using the quadratic rank transmutation map technique studied by Shaw and Buckley1 as a new survival model in medical sciences and other applied fields.Statistical properties of Transmuted LLD(TLLD)are discussed comprehensively.Robust measures of skewness and kurtosis of the proposed model have also been discussed along with graphical overview.The estimation of the model parameters is performed by Maximum Likelihood(ML)method followed by a Monte Carlo(MC)simulation procedure to investigate the performance of the ML estimators and the asymptotic confidence intervals of the parameters.Applications of the proposed model to real-life data are also presented. | Bilal Ahmad Para Tariq Rashid Jan | 2018 | International Journal of Modeling, Simulation, and Scientific Computing2018，9，5： | 0 |
| 5 | Transmission dynamics of Hand-Foot-Mouth Disease with partial immunity through non-integer derivative显示文摘In this paper,we formulate the transmission phenomena of Hand-Foot-Mouth Disease(HFMD)through non-integer derivative.We interrogate the biological meaningful results of the recommended system of HFMD.The basic reproduction number is determined through next generation method and the impact of different parameters on the reproduction number is examined with the help of partial rank correlation coeficient(PRCC)technique.In addition,we concentrated on qualitative analysis and dynamical behavior of HFMD dynamics.Banach's and Schaefer's fixed-point theorems are used to analyze the uniqueness and existence of the solution of the proposed HFMD model.The HFMD system's Ulam-Hyers stability has been confirmed to be sufficient.To highlight the impact of the parameters on the dynamics of HFMD,we performed several simulations through numerical scheme to conceptualize the transmission route of the infection.To be more specific,numerical simulations are used to visualize the effect of input parameters on the systems dynamics.We have shown the key input parameters of the system for the control of infection in the society. | Rashid Jan Salah Boulaaras Sultan Alyobit Muhammad Jawad | 2023 | International Journal of Biomathematics2023，16，6： | 0 |
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