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International Journal of Modeling, Simulation, and Scientific Computing 2021年第3期12卷 150-166页

作者： Pratibha Verma Manoj Kumar Anand Shukla Department of Mathematics Motilal Nehru National Institute of Technology Allahabad Prayagraj 211004 Uttar PradeshIndia Department of Mathematics Wollega UniversityEthiopia

The fuzzy variable fractional differential equations(FVFDEs)play a very important role in mathematical modeling of COVID-19.The scientists are studying and developing several aspects of these COVID-19 models.The existence and uniqueness of the solution,stability analysis are the most common and important study aspects.There is no study in the literature to establish the existence,uniqueness,and UH stability for fuzzy variable fractional(FVF)order COVID-19 models.Due to high demand of this study,we investigate results for the existence,uniqueness,and UH stability for the considered COVID-19 model based on FVFDEs using a fixed point theory approach with the singular operator.Additionally,discuss the maximal/minimal solution for the FVFDE of the COVID-19 model.

关键词： Novel coronavirus(COVID-19) variable Caputo fractional derivative fixed point theorem existence and uniqueness Ulam-Hyers stability

Numerical Analysis of Phase Change and Container Materials for Thermal Energy Storage in the Storage Tank of Solar Water Heating System

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Journal of Thermal Science 2024年第2期33卷 408-421页

作者： SINGH Shailendra anand Abhishek shukla Amritanshu SHARMA Atul Non-Conventional Energy Laboratory Rajiv Gandhi Institute of Petroleum TechnologyJais Amethi229304India

This study evaluates the effectiveness of phase change materials(PCMs) inside a storage tank of warm water for solar water heating(SWH) system through the theoretical simulation based on the experimental model of S.Canbazoglu et al.The model is explained by five fundamental equations for the calculation of various parameters like the effectiveness of PCMs,the mass of hot water,total heat content,and duration of charging.This study simulated eleven PCMs to analyze their effectiveness like Sodium hydrogen phosphate dodecahydrate(SHPD),OM 37,N-Eicosane(NE),Lauric acid(LA),Paraffin wax(PW),OM 48,Paraffin wax C_(20-33)(PW-C20-33),Sodium acetate trihydrate(SAT),Palmitic acid(PA),Myristic acid(MA),and Stearic acid(SA).Among all PCMs,the SHPD has found the highest value of effectiveness factor of 3.27.So,it is the most recommended PCM for the storage tank of the SWH system.The study also includes the melt fraction analysis of all enumerated PCMs corresponding to container materials of stainless steel,glass,aluminum mixed,tin,aluminum,and copper.This melt fraction analysis is performed by making a coding program in the FORTRAN programming language.Through the analysis,copper container material is found to have high melting rate for all PCMs so it is superior to other container materials.

关键词： theoretical model solar water heating system phase change material effectiveness factor melt fraction

Ulam-Hyers stability and analytical approach for m-dimensional Caputo space-time variable fractional order advection-dispersion equation

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International Journal of Modeling, Simulation, and Scientific Computing 2022年第1期13卷 131-174页

作者： Pratibha Verma Manoj Kumar Anand Shukla Department of Mathematics Motilal Nehru National Institute of Technology Allahabad Prayagraj–211004 Uttar PradeshIndia†Department of Mathematics Wollega UniversityNekemteEthiopia

This article introduces the computational analytical approach to solve the m-dimensional space-time variable Caputo fractional order advection–dispersion equation with the Dirichlet boundary using the two-step Adomian decomposition method and obtain the exact solution in just one iteration.Moreover,with the help of fixed point theory,we study the existence and uniqueness conditions for the positive solution and prove some new results.Also,obtain the Ulam–Hyers stabilities for the proposed problem.Two gen-eralized examples are considered to show the method’s applicability and compared with other existing numerical methods.The present method performs exceptionally well in terms of efficiency and simplicity.Further,we solved both examples using the two most well-known numerical methods and compared them with the TSADM solution.

关键词： Fixed point theorems space-time variable Caputo’s fractional operators advection-dispersion equation Ulam-Hyers stability two-step Adomian decomposition method

Stock Prediction Based on Technical Indicators Using Deep Learning Model

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Computers, Materials & Continua 2022年第1期70卷 287-304页

作者： Manish Agrawal Piyush Kumar shukla Rajit Nair anand Nayyar Mehedi Masud Department of Computer Science&Engineering University Institute of TechnologyRajiv Gandhi Proudyogiki VishwavidyalayaBhopal-462033Madhya PradeshIndia Faculty of Department of Computer Science&Engineering University Institute of TechnologyRajiv Gandhi Proudyogiki VishwavidyalayaBhopal-462033Madhya PradeshIndia Faculty of Department of Computer Science&Engineering School of Engineering and TechnologyJagran Lakecity UniversityBhopal462026Madhya PradeshIndia Graduate School Duy Tan UniversityDa Nang550000Vietnam Faculty of Information Technology Duy Tan UniversityDa Nang550000Vietnam Department of Computer Science College of Computers and Information TechnologyTaif UniversityTaif21944Saudi Arabia

Stock market trends forecast is one of the most current topics and a significant research challenge due to its dynamic and unstable nature.The stock data is usually non-stationary,and attributes are non-correlative to each other.Several traditional Stock Technical Indicators(STIs)may incorrectly predict the stockmarket trends.To study the stock market characteristics using STIs and make efficient trading decisions,a robust model is built.This paper aims to build up an Evolutionary Deep Learning Model(EDLM)to identify stock trends’prices by using STIs.The proposed model has implemented the Deep Learning(DL)model to establish the concept of Correlation-Tensor.The analysis of the dataset of three most popular banking organizations obtained from the live stock market based on the National Stock exchange(NSE)-India,a Long Short Term Memory(LSTM)is used.The datasets encompassed the trading days from the 17^(th) of Nov 2008 to the 15^(th) of Nov 2018.This work also conducted exhaustive experiments to study the correlation of various STIs with stock price trends.The model built with an EDLM has shown significant improvements over two benchmark ML models and a deep learning one.The proposed model aids investors in making profitable investment decisions as it presents trend-based forecasting and has achieved a prediction accuracy of 63.59%,56.25%,and 57.95%on the datasets of HDFC,Yes Bank,and SBI,respectively.Results indicate that the proposed EDLA with a combination of STIs can often provide improved results than the other state-of-the-art algorithms.

关键词： Long short term memory evolutionary deep learning model national stock exchange stock technical indicators predictive modelling prediction accuracy

Endoscopic full-thickness plication along with argon plasma coagulation for treatment of proton pump inhibitor dependent gastroesophageal reflux disease

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World Journal of Gastrointestinal Endoscopy 2024年第5期16卷 250-258页

作者： Yogesh Harwani Shreya Butala Balaji More Varun shukla anand Patel Department of Gastroenterology Nobel Gastro HospitalAhmedabad 408409GujaratIndia Department of Gastroenterology Sanjay Gandhi Post Graduate Institute of Medical SciencesLucknow 226014Uttar PradeshIndia Department of Pharmacology Mahatma Gandhi Medical College and Research InstitutePuducherry 607402PuducherryIndia Department of Gastroenterology Noble Institute of GastroenterologyAhmedabad 380009GujratIndia

BACKGROUND Most endoscopic anti-reflux interventions for gastroesophageal reflux disease(GERD)management are technically challenging to practice with inadequate data to support it utility.Therefore,this study was carried to evaluate the effectiveness and safety newer endoscopic full-thickness fundoplication(EFTP)device along with Argon Plasma Coagulation to treat individuals with GERD.AIM To evaluate the effectiveness and safety newer EFTP device along with Argon Plasma Coagulation to treat individuals with GERD.METHODS This study was a single-center comparative analysis conducted on patients treated at a Noble Institute of Gastroenterology,Ahmedabad,hospital between 2020 and 2022.The research aimed to retrospectively analyze patient data on GERD symptoms and proton pump inhibitor(PPI)dependence who underwent EFTP using the GERD-X system along with argon plasma coagulation(APC).The primary endpoint was the mean change in the total gastroesophageal reflux disease health-related quality of life(GERD-HRQL)score compared to the baseline measurement at the 3-month follow-up.Secondary endpoints encompassed enhancements in the overall GERD-HRQL score,improvements in GERD symptom scores at the 3 and changes in PPI usage at the 3 and 12-month time points.RESULTS In this study,patients most were in Hill Class II,and over half had ineffective esophageal motility.Following the EFTP procedure,there were significant improvements in heartburn and regurgitation scores,as well as GERDHRQL scores(P<0.001).PPI use significantly decreased,with 82.6%not needing PPIs or prokinetics at end of 1 year.No significant adverse events related to the procedures were observed in either group.CONCLUSION The EFTP along with APC procedure shows promise in addressing GERD symptoms and improving patients'quality of life,particularly for suitable candidates.Moreover,the application of a lone clip with APC yielded superior outcomes and exhibited greater cost-effectiveness.

关键词： Gastroesophageal reflux disease Endoscopy Quality of life Endoscopic antireflux interventions Retrospective data analysis Gastroesophageal reflux disease symptom scores Proton pump inhibitor

A possible therapeutic potential of quercetin through inhibition of μ-calpain in hypoxia induced neuronal injury:a molecular dynamics simulation study

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Neural Regeneration Research 2016年第8期11卷 1247-1253页

作者： anand Kumar Pandey Swet Chand shukla Pallab Bhattacharya Ranjana Patnaik School of Biomedical Engineering Indian Institute of TechnologyBanaras Hindu University School of Biochemical Engineering Indian Institute of TechnologyBanaras Hindu University Department of Neurology Leonard M.Miller School of MedicineUniversity of Miami

The neuroprotective property of quercetin is well reported against hypoxia and ischemia in past studies.This property of quercetin lies in its antioxidant property with blood-brain barrier permeability and anti-inflammatory capabilities.μ-Calpain,a calcium ion activated intracellular cysteine protease causes serious cellular insult,leading to cell death in various pathological conditions including hypoxia and ischemic stroke.Hence,it may be considered as a potential drug target for the treatment of hypoxia induced neuronal injury.As the inhibitory property of μ-calpain is yet to be explored in details,hence,in the present study,we investigated the interaction of quercetin with μ-calpain through a molecular dynamics simulation study as a tool through clarifying the molecular mechanism of such inhibition and determining the probable sites and modes of quercetin interaction with the μ-calpain catalytic domain.In addition,we also investigated the structure-activity relationship of quercetin with μ-calpain.Affinity binding of quercetin with μ-calpain had a value of –28.73 k J/mol and a Ki value of 35.87 μM that may be a probable reason to lead to altered functioning of μ-calpain.Hence,quercetin was found to be an inhibitor of μ-calpain which might have a possible therapeutic role in hypoxic injury.

关键词： nerve regeneration quercetin μ-calpain molecular docking molecular dynamics simulation hypoxia neuroprotection neural regeneration

Resveratrol inhibits matrix metalloproteinases to attenuate neuronal damage in cerebral ischemia:a molecular docking study exploring possible neuroprotection

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Neural Regeneration Research 2015年第4期10卷 568-575页

作者： anand Kumar Pandey Pallab Bhattacharya Swet Chand shukla Sudip Paul Ranjana Patnaik School of Biomedical Engineering Indian Institute of TechnologyBanaras Hindu University Department of Neurology Leonard M.Miller School of MedicineUniversity of Miami School of Biochemical Engineering Indian Institute of TechnologyBanaras Hindu University Department of Biomedical Engineering North Eastern Hill University (NEHU)

The main pathophysiology of cerebral ischemia is the structural alteration in the neurovascular unit, coinciding with neurovascular matrix degradation. Resveratrol has been reported to be one of the most potent chemopreventive agents that can inhibit cellular processes associated with ischemic stroke. Matrix metalloproteinases （MMPs） has been considered as a potential drug target for the treatment of cerebral ischemia. To explore this, we tried to investigate the inter-action of resveratrol with MMPs through molecular docking studies. At 30 minutes before and 2 hours after cerebral ischemia/reperfusion induced by occlusion of the middle cerebral artery, 40 mg/kg resveratrol was intraperitoneally administered. After resveratrol administration, neu-rological function and brain edema were significantly alleviated, cerebral infarct volume was signiifcantly reduced, and nitrite and malondialdehyde levels in the cortical and striatal regions were signiifcantly decreased. The molecular docking study of resveratrol and MMPs revealed that resveratrol occupied the active site of MMP-2 and MMP-9. The binding energy of the complexes was –37.848672 kJ/mol and –36.6345 kJ/mol for MMP-2 and MMP-9, respectively. In case of MMP-2, Leu 164, Ala 165 and Thr 227 were engaged in H-Bonding with resveratrol and in case of MMP-9, H-bonding was found with Glu 402, Ala 417 and Arg 424 residues. These ifndings collectively reveal that resveratrol exhibits neuroprotective effects on cerebral ischemia through inhibiting MMP-2 and MMP-9 activity.

关键词： nerve regeneration neuroprotection resveratrol cerebral ischemia cerebral infarction matrix metalloproteinase molecular docking extracellular matrix neural regeneration

Wright Type Hypergeometric Function and Its Properties

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Advances in Pure Mathematics 2013年第3期3卷 335-342页

作者： Snehal B. Rao Jyotindra C. Prajapati Ajay K. shukla Department of Applied Mathematics and Humenities S.V. National Institute of Technology Surat India Department of Applied Mathematics The M.S. University of Baroda Vadodara India Department of Mathematical Sciences Faculty of Applied Sciences Charotar University of Science and Technology Anand India

Let s and z be complex variables, Γ(s) be the Gamma function, and for any complex v be the generalized Pochhammer symbol. Wright Type Hypergeometric Function is defined (Virchenko et al. [1]), as: where which is a direct generalization of classical Gauss Hypergeometric Function 2F1(a,b;c;z). The principal aim of this paper is to study the various properties of this Wright type hypergeometric function 2R1(a,b;c;τ;z);which includes differentiation and integration, representation in terms of pFq and in terms of Mellin-Barnes type integral. Euler (Beta) transforms, Laplace transform, Mellin transform, Whittaker transform have also been obtained;along with its relationship with Fox H-function and Wright hypergeometric function.

关键词： Euler Transform Fox H-Function Wright Type Hypergeometric Function Laplace Transform Mellin Transform Whittaker Transform Wright Hypergeometric Function