检索结果-南通市图书馆

On the existence and uniqueness of a nonlinear q-difference boundary value problem of fractional order

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Modeling, Simulation, and Scientific Computing 2022年第1期13卷 265-284页

作者： Zouaoui Bekri Vedat Suat Erturk pushpendra kumar Laboratory of Fundamental and Applied Mathematics University of Oran 1 Ahmed Ben Bella Es-senia31000 OranAlgeria Department of Mathematics Ondokuz Mayis University Atakum-55200 SamsunTurkey Department of Mathematics and Statistics School of Basic and Applied Sciences Central University of Punjab Bathinda Punjab-151001India

In this research collection,we estimate the existence of the unique solution for the boundary value problem of nonlinear fractional q-difference equation having the given form c D^(ζ)_(q) v(t)−h(t,v(t))=0,0≤t≤1,α_(1)v(0)+β_(1)D_(q)v(0)=v(η1),α_(2)v(1)−β_(2)D_(q)v(1)=v(η2),where 1<ζ≤2,(η1,η2)∈(0,1)^(2),α_(i),β_(i)∈R(i=1,2),h∈C([0,1]×R,R)and c Dζq represents the Caputo-type nonclassical q-derivative of orderζ.We use well-known principal of Banach contraction,and Leray–Schauder nonlinear alternative to vindicate the unique solution existence of the given *** the applications,some examples are solved to justify our outcomes.

关键词： Fractional q-derivative principle of Banach contraction Leary-Schauder non-linear alternative existence and uniqueness boundary value problem

Prediction studies of the epidemic peak of coronavirus disease in Japan: From Caputo derivatives to Atangana-Baleanu derivatives

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Modeling, Simulation, and Scientific Computing 2022年第1期13卷 21-52页

作者： pushpendra kumar Norodin A.Rangaig Hamadjam Abboubakar Anoop kumar A.Manickam Department of Mathematics and Statistics School of Basic and Applied Sciences Central University of Punjab Bathinda 151001PunjabIndia Department of Physics Mindanao State University-Main Campus Marawi City 9700 Philippines Department of Computer Engineering University Institute of Technology University of Ngaoundere P.O.Box 455 NgaoundereCameroon Department of Mathematics School of Advanced Sciences and Languages VIT Bhopal University Kottri Kalan 466114SehoreMadhya PradeshIndia

New atypical pneumonia caused by a virus called Coronavirus(COVID-19)appeared in Wuhan,China in December *** previous epidemics due to the severe acute respiratory syndrome(SARS)and the Middle East respiratory syndrome coronavirus(MERS-CoV),COVID-19 has the particularity that it is more contagious than the other previous *** this paper,we try to predict the COVID-19 epidemic peak in Japan with the help of real-time data from January 15 to February 29,2020 with the uses of fractional derivatives,namely,Caputo derivatives,the Caputo–Fabrizio derivatives,and Atangana–Baleanu derivatives in the Caputo *** fixed point theory and Picard–Lindel of approach used in this study provide the proof for the existence and uniqueness analysis of the solutions to the noninteger-order models under the *** each fractional model,we propose a numerical scheme as well as prove its *** parameter values estimated from the Japan COVID-19 epidemic real data,we perform numerical simulations to confirm the effectiveness of used approxima-tion methods by numerical simulations for different values of the fractional-orderγ,and to give the predictions of COVID-19 epidemic peaks in Japan in a specific range of time intervals.

关键词： COVID-19 mathematical model Caputo derivative Caputo-Fabrizio deriva-tive(CF) Atangana-Baleanu derivative(ABC)

A Study on the Nonlinear Caputo-Type Snakebite Envenoming Model with Memory

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Computer Modeling in Engineering & Sciences 2023年第9期136卷 2487-2506页

作者： pushpendra kumar Vedat Suat Erturk V.Govindaraj Dumitru Baleanu Department of Mathematics National Institute of Technology PuducherryKaraikal609609India Department of Mathematics Faculty of Arts and SciencesOndokuz Mayis UniversityAtakumSamsun55200Turkey Department of Mathematics Cankaya UniversityAnkara06530Turkey Institute of Space Sciences MagureleBucharestR76900Romania Department of Computer Science and Mathematics Lebanese American UniversityBeirut11022801Lebanon

In this article,we introduce a nonlinear Caputo-type snakebite envenoming model with *** well-known Caputo fractional derivative is used to generalize the previously presented integer-order model into a fractionalorder *** numerical solution of the model is derived from a novel implementation of a finite-difference predictor-corrector(L1-PC)scheme with error estimation and stability *** proof of the existence and positivity of the solution is given by using the fixed point *** the necessary simulations,we justify that the first-time implementation of the proposedmethod on an epidemicmodel shows that the scheme is fully suitable and time-efficient for solving epidemic *** work aims to show the novel application of the given scheme as well as to check how the proposed snakebite envenoming model behaves in the presence of the Caputo fractional derivative,including memory effects.

关键词： Mathematical model Caputo fractional derivative L1-predictor-corrector method error estimation stability graphical simulations

A stochastic SIR model for analysis of testosterone suppression of CRH-stimulated cortisol in men

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Modeling, Simulation, and Scientific Computing 2022年第3期13卷 223-229页

作者： A.Manickam pushpendra kumar K.Dasunaidu V.Govindaraj Dheeraj kumar Joshi School of Advanced Sciences 8 Languages Department of Mathematics VIT Bhopal University Kottri Kalan(Village)466114 Sehore(District) Madhya PradeshIndia Department of Mathematics National Institute of Technology Puducherry Karaikal 609609 India Department of Basic Sciences 8 Humanities GMR Institute of Technology Rajam 532127 Srikakulam(Dt)Andhra PradeshIndia DIT University Dehradun 248009 UttarakhandIndiamanickammaths2011@***.kxumarsaraswatpk@*****dasunaidu.k@gmrit.edu.in ttgovindaraj.maths@*** t+maths.dj44010@***

A stochastic SIR influenza vertical transmission model is examined in this paper where vaccination and an incidence rate that is not linear are *** determine whether testosterone regulates lower sintering HPA axis function in males,we used a stochastic SIR epidemic procedure with divergent influences on ACTH and *** suppressive effects on cortisol can be attributed to a peripheral(adrenal)*** that,we came to the conclusion that experimental solutions have been discovered and the requisite statistical findings have been ***,we deduce that the given mathematical model and the results are relevant to medical *** the future,this research can be further extended to simulate more results in the medical field.

关键词： ACTH cortisol CRH estradiol HPA SIR model testosterone

Antioxidant and antiarthritic potential of berberine: In vitro and in vivo studies

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Herbal Medicines 2023年第4期15卷 549-555页

作者： Shweta Jain Shalini Tripathi pushpendra kumar Tripathi Sir Madanlal Institute of Pharmacy Etawah 206130India Rameshwaram Institute of Technology and Management Dr.A.P.J.Abdul Kalam Technical UniversityLucknow 226001India Institute of Pharmaceutical Sciences University of LucknowLucknow 226001India

Objective: To extract and isolate berberine from Berberis aristata(Berberidaceae). Isolated berberine was characterised using spectroscopy and its antioxidant and antiarthritic activity was ***: The berberine was isolated from B. aristata using microwave-assisted extraction(MAE) and characterised by a spectroscopic technique. The isolated berberine was evaluated for its antioxidant activity in DPPH, nitric oxide, and superoxide scavenging assays, while antiarthritic activity was evaluated in the complete freund’s adjuvant(CFA)-induced arthritis rat ***: The antioxidant activity of berberine revealed potent antioxidant activity in DPPH, nitric oxide,and superoxide scavenging assays. The in vivo antiarthritic activity of berberine in the CFA-induced arthritis rat model showed a significant reduction in paw diameter, arthritic score, and an increase in body weight. Furthermore, a concentration-dependent ameliorating action of berberine on haematological parameters was noticed. Proinfammatory biomarkers, including IL-6, IL-10, and TGF-b in serum were reported, and histopathology examination revealed that berberine decreased pannus formation, synovial hyperplasia, and bone erosion. Radiographic investigation showed soft tissue infammation, bone resorption and erosion, joint gap reduction, and substantial connective tissue expansion after treatment with ***: The ameliorating action on haematological parameters and proinfammatory biomarkers of berberine makes them a suitable remedy for the treatment of arthritis.

关键词： antioxidant antiarthritic activity berberine Berberis aristata DC microwave assistance

An Approach Using Fuzzy Sets and Boosting Techniques to Predict Liver Disease

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Computers, Materials & Continua 2021年第9期68卷 3513-3529页

作者： pushpendra kumar Ramjeevan Singh Thakur Maulana Azad National Institute of Technology BhopalIndia Central University of Jharkhand RanchiIndia

The aim of this research is to develop a mechanism to help medical practitioners predict and diagnose liver *** systems have been proposed to help medical experts by diminishing error and increasing accuracy in diagnosing and predicting *** many existing methods,a few have considered the class imbalance issues of liver disorder *** all the samples of liver disorder datasets are not useful,they do not contribute to learning about classifiers.A few samples might be redundant,which can increase the computational cost and affect the performance of the *** this paper,a model has been proposed that combines noise filter,fuzzy sets,and boosting techniques(NFFBTs)for liver disease ***,the noise filter(NF)eliminates the outliers from the minority class and removes the outlier and redundant pair from the majority ***,the fuzzy set concept is applied to handle uncertainty in ***,the AdaBoost boosting algorithm is trained with several learners viz,random forest(RF),support vector machine(SVM),logistic regression(LR),and naive Bayes(NB).The proposed NFFBT prediction system was applied to two datasets(i.e.,ILPD and MPRLPD)and found that AdaBoost with RF yielded 90.65%and 98.95%accuracy and F1 scores of 92.09%and 99.24%over ILPD and MPRLPD datasets,respectively.

关键词： Fuzzy set imbalanced data liver disease prediction machine learning noise filter

A malaria model with Caputo-Fabrizio and Atangana-Baleanu derivatives

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Modeling, Simulation, and Scientific Computing 2021年第2期12卷 138-164页

作者： Hamadjam Abboubakar pushpendra kumar Norodin A.Rangaig Sachin kumar Department of Computer Engineering University Institute of Technology University of Ngaound´er´e P.O.Box 455 Ngaound´er´eCameroon Department of Mathematics and Statistics School of Basic and Applied Sciences Central University of Punjab BathindaPunjab-151001India Department of Physics Mindanao State University-Main Campus Marawi City 9700Philippines

In this paper,we study two fractional models in the Caputo–Fabrizio sense and Atangana–Baleanu sense,in which the effects of malaria infection on mosquito biting behavior and attractiveness of humans are *** Lyapunov theory,we prove the global asymptotic stability of the unique endemic equilibrium of the integer-order model,and the fractional models,whenever the basic reproduction number R0 is greater than *** using fixed point theory,we prove existence,and conditions of the uniqueness of solutions,as well as the stability and convergence of numerical *** simulations for both models,using fractional Euler method and Adams–Bashforth method,respectively,are provided to confirm the effectiveness of used approximation methods for different values of the fractional-orderγ.

关键词： Malaria fractional models Caputo-Fabrizio derivative Atangana-Baleanu derivative in the Caputo sense asymptotic stability fractional Euler method Adams-Bashforth method

A mathematical study of a tuberculosis model with fractional derivatives

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Modeling, Simulation, and Scientific Computing 2021年第4期12卷 215-240页

作者： Hamadjam Abboubakar pushpendra kumar Vedat Suat Erturk Anoop kumar Department of Computer Engineering University Institute of Technology University of Ngaoundere P.O.Box 455NgaoundereCameroon Department of Mathematics and Statistics School of Basic and Applied Sciences Central University of Punjab Bathinda Punjab-151001India Department of Mathematics Ondokuz Mayis University Atakum-55200SamsunTurkey Department of Mathematics and Statistics School of Basic and Applied Sciences Central University of Punjab Bathinda Punjab-151001India 2

In this work,we use a Predictor–Corrector method to implement and derive an iterative solution of an existing Tuberculosis(TB)model with two fractional derivatives,namely,Caputo–Fabrizio fractional derivative and the new generalized Caputo fractional deriva*** begin by recalling some existing results such as the basic reproduction number R0 and the equilibrium points of the ***,we study the global asymptotic stability of disease-free equilibrium of the fractional *** also prove,for each fractional model,the existence and uniqueness of *** iterative solution of the two models is computed using the Predictor–Corrector *** realistic parameter values,we perform numerical simulations for different values of the fractional *** results permit to conclude that the new generalized Caputo fractional derivative provides a more realistic analysis than the Caputo–Fabrizio fractional derivative and the classical integer-order TB model.

关键词： TB model Caputo–Fabrizio(CF)fractional derivative asymptotic stability Predictor–Corrector Method(PCM) generalized Caputo derivative

Lassa hemorrhagic fever model using new generalized Caputo-type fractional derivative operator

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Modeling, Simulation, and Scientific Computing 2021年第6期12卷 129-149页

作者： pushpendra kumar Vedat Suat Erturk Abdullahi Yusuf Tukur Abdulkadir Sulaiman Department of Mathematics and Statistics School of Basic and Applied Sciences Central University of Punjab BathindaPunjab 151001India Department of Mathematics Ondokuz Mayis University Atakum 55200SamsunTurkey Department of Computer Engineering Biruni University Istanbul Turkey Department of Mathematics Science Faculty Federal University DutseJigawa 7156Nigeria

In some of the previous decades, we have observed that mathematical modeling hasbecome one of the most interesting research fields and has attracted many *** this regard, thousands of researchers have proposed different varieties of mathematicalmodels to study the dynamics of a number of real-world problems. This research workis framed to analyzing the structure of the well-known Lassa hemorrhagic epidemic;adangerous epidemic for pregnant women, via new generalized Caputo type nonintegerorder derivative with the help of a modified Predictor–Corrector scheme. Lassa hemorrhagic disease is an epidemical and biocidal fever, whose negative impacts were initiallyrecognized in the countries of Africa. This virus has killed many pregnant women ascompared to the Ebola epidemic. It was noticed that Lassa virus was isolated in Verocell cultures from a blood pattern, and after 12 days it was ejective, after the climb ofthe sickness. In this research study, necessary theorems and lemmas are reminded toprove the existence of a unique solution and stability of given fractional approximationscheme. All necessary results are reminded to confirm the effectiveness of the proposedapproximation algorithm by graphical observations for various fractional-order *** our practical calculations, we plotted the graphs for two different values of naturaldeath rate along with various values of given fractional-order operator. Our major target is to show the importance of the proposed modified version of the Predictor–Correctoralgorithm in epidemic studies by exploring the given Lassa hemorrhagic fever dynamics.

关键词： Lassa hemorrhagic fever epidemic mathematical model new generalized Caputo fractional derivatives predictor–corrector algorithm