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Numerical study of fractional model of multi-dimensional dispersive partial differential equation

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Journal of Ocean Engineering and Science 2019年第4期4卷 338-351页

作者： Vijay Verma Amit Prakash devendra kumar Jagdev Singh Department of Mathematics Pt.C.L.S.Govt.(PG)CollegeKarnalHaryanaIndia Department of Mathematics National Institute of TechnologyKurukshetra 136119India Department of Mathematics University of RajasthanJaipur 302004RajasthanIndia Department of Mathematics JECRC UniversityJaipur 303905RajasthanIndia

This article is devoted to a newly introduced numerical method for time-fractional dispersive partial differential equation in a multidimensional *** time-fractional dispersive partial differential equation plays a great role in solving the problems arising in ocean science and *** numerical technique comprises of Sumudu transform,homotopy perturbation scheme and He’s polynomial,namely homotopy perturbation Sumudu transform method(HPSTM)is efficiently used to examine time-fractional dispersive partial differential equation of third order in multi-dimensional *** approximate analytic solution of the time-fractional dispersive partial differential equation of third-order in multi-dimensional space obtained by HPSTM is compared with exact solution as well as the solution obtained by using Adomain decomposition *** results derived with the aid of two techniques are in a good agreement and consequently these techniques may be considered as an alternative and efficient approach for solving fractional partial differential *** test problems are experimented to confirm the accuracy and efficiency of the proposed methods.

关键词： Homotopy perturbation method Fractional trigonometric function He’s polynomials Adomian decomposition method Sumudu transform

An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma

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Journal of Ocean Engineering and Science 2019年第2期4卷 85-99页

作者： Amit Goswami Jagdev Singh devendra kumar Sumit Gupta Sushila Department of Physics Jagan Nath UniversityJaipur 303901RajasthanIndia Department of Mathematics JECRC UniversityJaipur 303905RajasthanIndia Department of Mathematics University of RajasthanJaipur 302004RajasthanIndia Department of Mathematics Swami Keshvanand Institute of TechnologyManagement and GramothanRamnagariaJaipur 302017RajasthanIndia Department of Physics Vivekananda Global UniversityJaipur 303012RajasthanIndia

In this work,we apply an efficient analytical algorithm namely homotopy perturbation Sumudu transform method(HPSTM)to find the exact and approximate solutions of linear and nonlinear time-fractional regularized long wave(RLW)*** RLW equations describe the nature of ion acoustic waves in plasma and shallow water waves in *** derived results are very significant and imperative for explaining various physical *** suggested method basically demonstrates how two efficient techniques,the Sumudu transform scheme and the homotopy perturbation technique can be integrated and applied to find exact and approximate solutions of linear and nonlinear time-fractional RLW *** nonlinear expressions can be simply managed by application of He’s *** result shows that the HPSTM is very powerful,efficient,and simple and it eliminates the round-off *** has been observed that the proposed technique can be widely employed to examine other real world problems.

关键词： Sumudu transform scheme Homotopy perturbation technique RLW equations Ion acoustic wave Shallow water waves in oceans.

Conservation Strategy for African Medicinal Species: In Vitro Biotechnological Approach

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Phyton-International Journal of Experimental Botany 2020年第4期89卷 779-794页

作者： Priyanka Jha Swati Chahal devendra kumar Pandey Joginder Singh Ram Prasad Vijay kumar Amity Institute of Biotechnology Amity UniversityKolkataWest Bengal700156India Plant Biotechnology Laboratory Division of Research and DevelopmentLovely Professional UniversityPhagwara144411PunjabIndia Department of Biotechnology School of Bioengineering and BiosciencesLovely Professional UniversityPhagwara144411PunjabIndia Department of Microbiology School of Bioengineering and BiosciencesLovely Professional UniversityPhagwara144411PunjabIndia Department of Botany School of Life SciencesMahatma Gandhi Central UniversityMotihariBihar845401India

The use of medicinal plants for different therapeutic values is well documented in African *** diverse biodiversity hotspots provide a wide range of endemic species,which ensures a potential medicinal *** feasible conservation approach and sustainable harvesting for the medicinal species remains a huge ***,conservation approach through different biotechnological tools such as micropropagation,somatic embryogenesis,synthetic seed production,hairy root culture,molecular markers based study and cryopreservation of endemic African medicinal species is much *** this review,an attempt has been made to provide different in vitro biotechnological approaches for the conservation of African medicinal *** present review will be helpful in further technology development and deciding the priorities at decision-making levels for in vitro conservation and sustainable use of African medicinal species.

关键词： Biotechnological approach conservation medicinal plant African traditional medicine(ATM) start codon targeted polymorphism(SCoT) somatic embryogenesis

Growth and Approximation of Generalized Bi-Axially Symmetric Potentials

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Journal of Mathematical Research with Applications 2015年第6期35卷 613-624页

作者： devendra kumar Anindita BASU Department of Mathematics Faculty of Science Al-Baha University Department of Mathematics Dr.Bhupendra Nath Dutta Smriti MahavidyalayaBurdwan P.O Box- 713407 West Bengal India

The paper deals with growth estimates and approximation(not necessarily entire) of solutions of certain elliptic partial differential equations. These solutions are called generalized bi-axially symmetric potentials(GBASP’s). To obtain more refined measure of growth, we have defined q-proximate order and obtained the characterization of generalized q-type and generalized lower q-type with respect to q-proximate order of a GBASP in terms of approximation errors and ratio of these errors in sup norm.

关键词： generalized bi-axially symmetric potentials q-proximate order Jacobi polynomials generalized q-type generalized lower q-type approximation errors

Introduction to the Special Issue on Numerical Methods for Differential and Integral Equations

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Computer Modeling in Engineering & Sciences 2020年第6期123卷 913-915页

作者： Şuayip Yüzbaşı Kamel Al-Khaled Nurcan BaykuşSavaşaneril devendra kumar Department of Mathematics Faculty of ScienceAkdeniz UniversityAntalyaTr-07058Turkey Department of Mathematics and Statistics Jordan University of Science and TechnologyIrbid22110Jordan Izmir Vocational School Dokuz Eylül UniversityİzmirTurkey Department of Mathematics University of RajasthanJaipur302004India

Differential and integral equations have a major role in many applied areas of science and engineering,For example,physics,chemistry,astronomy,biology,mechanics,electronic,economics,potential theory,***,the obtaining of solutions of these equations is *** the mentioned equations are usually difficult to solve analytically,numerical methods are ***,this Special Issue contributes to new numerical methods for solving the above-mentioned equations and thus,many problems in science and engineering can be solved using new numerical methods analyzed in this special issue.

关键词： mentioned equations Issue

Numerical modeling and optimization of process parameters in continuous extrusion process through response surface methodology, artificial neural network & genetic algorithm

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第6期12卷 230-248页

作者： Tariku Desta devendra kumar Sinha Perumalla Janaki Ramulu Ram Sewak Singh Mechanical Design and Manufacturing Engineering Department School of Mechanical Chemical and Materials Engineering Adama Science and Technology UniversityAdamaEthiopia Department of Electronics Engineering School of Electrical Electronics and Computing Adama Science and Technology University Adama Ethiopia

The product of high complex profile,high strength,high productivity and excellent material properties with infinite length can be produced by Continuous Extrusion(CE)*** numerical simulation of Aluminum(AA 1100)feedstock material at different wheel velocities,product diameter,feedstock temperature,die temperature and friction condition has been carried out using 3D simulation tool Design Environment for Forming(DEFORM-3D)in this *** development of mathematical model is carried out to investigate the influence of wheel velocity,extrusion ratio,feedstock temperature,die temperature and friction conditions on total load required for the deformation and extrusion of feedstock material through Response Surface Methodology(RSM).The statistical significance of mathematical model is verified through analysis of variance(ANOVA).The most optimum value of extrusion load has been found to be 136.4 kN through iterative process of Genetic Algorithm(GA)using Artificial Neural Network(ANN).The optimized value of input process variables for minimum value of extrusion load obtained has been found to be 13 Revolutions per Minute(RPM)as wheel velocity,5 mm as product diameter,0.95 as friction condition,650◦C as feedstock temperature and 550◦C as die *** paper with proposed methodology will be helpful for industries working in the area of CE in terms of minimizing energy consumption during production process of bus bars,tubes,wires,cables,sheets,plates,strips,etc.

关键词： Continuous extrusion DEFORM-3D AA1100 response surface methodology artificial neural network genetic algorithm

On the Growth Properties of Solutions for a Generalized Bi-Axially Symmetric Schr?dinger Equation

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Journal of Mathematical Research with Applications 2017年第2期37卷 214-222页

作者： devendra kumar Payal BISHNOI Mohammed HARFAOUI Department of Mathematics Faculty of Sciences Al-Baha University Department of Mathematics M.M.H. College University Hassan II-Casablanca Laboratory of MathematicsCryptography and MechanicsF.S.T

In this paper, we have considered the generalized bi-axially symmetric Schr?dinger equation ?;φ/?x;+?;φ/?y;+（2ν/x）?φ/?x+（2μ/y）?φ/?y+ {K;- V（r）}φ = 0,where μ, ν≥ 0, and r V（r） is an entire function of r = +（x;+ y;）;corresponding to a scattering potential V（r）. Growth parameters of entire function solutions in terms of their expansion coefficients, which are analogous to the formulas for order and type occurring in classical function theory, have been obtained. Our results are applicable for the scattering of particles in quantum mechanics.

关键词： Schro?dinger equation scattering potential Jacobi polynomials order and type

Well-Defined Fluorinated Copolymers:Current Status and Future Perspectives

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Accounts of Materials Research 2021年第4期2卷 242-251页

作者： Subrata Dolui devendra kumar Sanjib Banerjee Bruno Ameduri Department of Chemistry Indian Institute of Technology BhilaiRaipur 492015ChhattisgarhIndia ICGM Universitéde MontpellierCNRSENSCMMontpellierFrance

Well-defined fluoropolymers exhibit unique properties such as excellent oil and water repellency,satisfactory thermal stability,a low refractive index,and low surface *** origin of these properties is attributed to the presence of a strong electronegative and low polarizable fluorine atom in the backbone of such polymers,which leads to a strong C−F bond(with a high bond dissociation energy of 485 kJ mol−1).Because of these features,these polymers have found applications as functional coatings,thermoplastics,biomedical items,separators,and binders for Li ion batteries,fuel cell membranes,piezoelectric devices,high-quality wires and cables,and so ***,fluoropolymers are synthesized by the conventional radical(co)polymerization of fluoroalkenes,which leads to the production of(co)polymers with an ill-defined end group,uncontrolled molar mass,and high dispersity *** the last two decades,significant developments of various reversible deactivation radical polymerization(RDRP)techniques have helped the design of macromolecular architectures(including block,graft,star,and dendrimers)on ***,for relevant new applications,well-defined fluoropolymers with controlled macromolecular architectures(e.g.,block copolymers as thermoplastic elastomers and electroactive polymers or graft copolymers for fuel cell membranes)are *** RDRP methods,developed in the last two decades,have paved the way for the synthesis of(co)polymers with well-defined molar mass,dispersity,chain end-functionality,and macromolecular *** of these RDRP techniques have been successfully employed for the synthesis of well-defined fluorinated *** techniques include iodine-transfer polymerization(ITP),reversible addition−fragmentation chain-transfer(RAFT)polymerization,organometallic-mediated radical polymerization(OMRP),and,to a lesser extent,nitroxide-mediated polymerization(NMP).Impressive control of the molar mass parameters of the fluoropo

关键词： polymerization molar reversible

Currencies of greater interest for central Asian economies:an analysis of exchange market pressure amid global and regional interdependence

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Financial Innovation 2023年第1期9卷 1275-1292页

作者： devendra kumar Jain Naqeeb Ur‑Rehman Omonjon Ganiev Kapil Arora Flame School of Business Flame UniversityPuneIndia School of Economics Westminster International UniversityTashkentUzbekistan School of Business&Economics Westminster International University in TashkentTashkentUzbekistan Alliance School of Business Alliance UniversityBangaloreIndia

Central Asian Economies(CAEs)have diverse exchange rate *** have recorded higher volatility in the foreign exchange market since *** volatility of the transition era has drifted these economies towards partial *** authorities in CAEs,(already have a challenge of maintaining monetary policy autonomy)have a gigantic task of price stability and stopping the spread of *** study is directed towards assessing the drivers and the determinants of foreign exchange market pressure in *** results,based on panel data analysis and the System GMM model,have provided useful insights about the exchange market pressure determinants particularly USD,Euro,Ruble,and *** results show that China and Russia exchange market pressure has a negative effect on the exchange market pressure of *** the dollar index shows a positive impact on the exchange market pressure of ***,the findings imply that China and Russia currency appreciation results in a trade deficit across *** policy implication suggests that the floating exchange rate regime(inflation targeting regime)is not in favor of CAEs,and they must use managed-float to reduce their trade deficits.

关键词： Exchange market pressures Central Asian economies Exchange markets Financial market Interdependence Transition economies