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An efficient technique for two-dimensional fractional order biological population model

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International Journal of Modeling, Simulation, and Scientific Computing 2020年第1期11卷 96-112页

作者： P.Veeresha d.g.prakasha department of Mathematics Karnatak University Dharwad 580003India department of Mathematics Faculty of Science Davangere University ShivagangothriDavangere 577007India

In this paper,we find the solutions for two-dimensional biological population model having fractional order using fractional natural decomposition method(FNdM).The proposed method is a graceful blend of decomposition scheme with natural transform,and three examples are considered to validate and illustrate its *** nature of FNdM solution has been captured for distinct arbitrary *** order to illustrate the proficiency and reliability of the considered scheme,the numerical simulation has been *** obtained results illuminate that the considered method is easy to apply and more effective to examine the nature of multi-dimensional differential equations of fractional order arisen in connected areas of science and technology.

关键词： Caputo fractional derivative decomposition method biological population model natural transform

Regarding on the Fractional Mathematical Model of Tumour Invasion and Metastasis

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Computer Modeling in Engineering & Sciences 2021年第6期127卷 1013-1036页

作者： P.Veeresha Esin Ilhan d.g.prakasha Haci Mehmet Baskonus Wei gao department of Mathematics CHRIST(Deemed to be University)Bengaluru560029India Faculty of Engineering and Architecture Kirsehir Ahi Evran UniversityKirsehir40500Turkey department of Mathematics Faculty of ScienceDavangere UniversityShivagangothriDavangere577007India department of Mathematics and Science Education Faculty of EducationHarran UniversitySanliurfa63050Turkey School of Information Science and Technology Yunnan Normal UniversityKunming650500China

In this paper,we analyze the behaviour of solution for the system exemplifying model of tumour invasion and metastasis by the help of q-homotopy analysis transform method(q-HATM)with the fractional *** analyzed model consists of a system of three nonlinear differential equations elucidating the activation and the migratory response of the degradation of the matrix,tumour cells and production of degradative enzymes by the tumour *** considered method is graceful amalgamations of q-homotopy analysis technique with Laplace transform(LT),and Caputo–Fabrizio(CF)fractional operator is hired in the present *** using the fixed point theory,existence and uniqueness are *** validate and present the effectiveness of the considered algorithm,we analyzed the considered system in terms of fractional order with time and *** error analysis of the considered scheme is *** variations with small change time with respect to achieved results are effectively captured in *** obtained results confirm that the considered method is very efficient and highly methodical to analyze the behaviors of the system of fractional order differential equations.

关键词： Tumour cell invasion and metastasis q-homotopy analysis transform method Caputo–Fabrizio derivative

Regarding deeper Properties of the Fractional Order Kundu-Eckhaus Equation and Massive Thirring Model

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Computer Modeling in Engineering & Sciences 2022年第12期133卷 697-717页

作者： Yaya Wang P.Veeresha d.g.prakasha Haci Mehmet Baskonus Wei gao department of Information Engineering Binzhou PolytechnicBinzhou256603China Centre for Mathematical Needs Department of MathematicsCHRIST(Deemed to be University)Bengaluru560029India department of Mathematics Davangere UniversityShivagangothriDavangere577007India department of Mathematics and Science Education Faculty of EducationHarran UniversitySanliurfa63050Turkey School of Information Science and Technology Yunnan Normal UniversityKunming650500China

In this paper,the fractional natural decomposition method(FNdM)is employed to find the solution for the Kundu-Eckhaus equation and coupled fractional differential equations describing the massive Thirring *** Thirring model consists of a system of two nonlinear complex differential equations,and it plays a dynamic role in quantum field *** fractional derivative is considered in the Caputo sense,and the projected algorithm is a graceful mixture of Adomian decomposition scheme with natural transform *** order to illustrate and validate the efficiency of the future technique,we analyzed projected phenomena in terms of fractional ***,the behaviour of the obtained solution has been captured for diverse fractional *** obtained results elucidate that the projected technique is easy to implement and very effective to analyze the behaviour of complex nonlinear differential equations of fractional order arising in the connected areas of science and engineering.

关键词： Fractional Kundu-Eckhaus equation fractional natural decomposition method fractional massive Thirring model numerical method Caputo fractional derivative

Solution for fractional potential KdV and Benjamin equations using the novel technique

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Journal of Ocean Engineering and Science 2021年第3期6卷 265-275页

作者： P.Veeresha d.g.prakasha N.Magesh A.John Christopher deepak Umrao Sarwe department of Mathematics CHRIST(Deemed to be University)Bengaluru-560029India department of Mathematics Faculty of ScienceDavangere UniversityShivagangothriDavangere-577007India P.g.and Research department of Mathematics Govt.Arts College for MenKrishnagiri-635001India department of Mathematics University of MumbaiKalinaSantacruz EastMumbai-400098India

In this paper,we find the solutions for fractional potential Korteweg-de Vries(p-KdV)and Benjamin equations using q-homotopy analysis transform method(q-HATM).The considered method is the mixture of q-homotopy analysis method and Laplace transform,and the Caputo fractional operator is considered in the present *** projected solution procedure manipulates and controls the obtained results in a large admissible ***,it offers a simple algorithm to adjust the convergence province of the obtained *** validate the q-HATM is accurate and reliable,the numerical simulations have been conducted for both equations and the outcomes are revealed through the plots and *** between the obtained solutions with the exact solutions exhibits that,the considered method is efficient and effective in solving nonlinear problems associated with science and technology.

关键词： Potential KdV equation q-Homotopy analysis method Fractional Benjamin equation Laplace transform ginzburg-Landau equation Caputo fractional operator

Radioisotope production using lasers:From basic science to applications

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Matter and Radiation at Extremes 2024年第3期9卷 31-44页

作者： M.R.d.Rodrigues A.Bonasera M.Scisciò J.A.Pérez-Hernández M.Ehret F.Filippi P.L.Andreoli M.Huault H.Larreur d.Singappuli d.Molloy d.Raffestin M.Alonzo g.g.Rapisarda d.Lattuada g.L.guardo C.Verona Fe.Consoli g.Petringa A.McNamee M.La Cognata S.Palmerini T.Carriere M.Cipriani g.di giorgio g.Cristofari R.de Angelis g.A.P.Cirrone d.Margarone L.giuffrida d.Batani P.Nicolai K.Batani R.Lera L.Volpe d.giulietti S.Agarwal M.Krupka S.Singh Fa.Consoli Cyclotron Institute Texas A&M UniversityCollege StationTexas 77840USA Laboratori Nazionali del Sud Istituto Nazionale di Fisica Nucleare(LNS-INFN)CataniaItaly ENEA Fusion and Technologies for Nuclear Safety and Security Department-CFrascatiItaly Centro de Láseres Pulsados(clpu) VillamayorSpain Universidad de Salamanca SalamancaSpain Centre Lasers Intenses et Applications(CELIA) Universitéde BordeauxCNRSCEATalenceFrance HB11 Energy Holdings Pty FreshwaterNew South WalesAustralia School of Mathematics and Physics Queen’s University BelfastBelfastUnited Kingdom dipartimento di Fisica e Astronomia“E.Majorana ”Università di CataniaCataniaItaly Facoltàdi Ingegneria e Architettura Universitàdegli Studi di Enna“Kore”EnnaItaly dipartimento di Ingegneria Industriale Universitàdi Roma“Tor Vergata”RomaItaly dipartimento di Fisica e geologia Universitàdegli Studi di PerugiaPerugiaItaly Istituto Nazionale di Fisica Nucleare Sezione di PerugiaPerugiaItaly ELI Beamlines Facility the Extreme Light Infrastructure ERICDolni BrezanyCzech Republic ETSIA Universidad Politécnica de MadridMadridSpain dipartimento Fisica “E.Fermi”Universitàdi Pisa and INFNPisaItaly FZU–Institute of Physics of Czech Academy of Sciences PragueCzech Republic Institute of Plasma Physics of Czech Academy of Sciences PragueCzech Republic

The discovery of chirped pulse amplification has led to great improvements in laser technology,enabling energetic laser beams to be compressed to pulse durations of tens of femtoseconds and focused to a few *** with energies of tens of MeV can be accelerated using,for instance,target normal sheath acceleration and focused on secondary *** such conditions,nuclear reactions can occur,with the production of radioisotopes suitable for medical *** use of high-repetition lasers to produce such isotopes is competitive with conventional methods mostly based on *** this paper,we study the production of^(67)Cu,^(63)Zn,^(18)F,and^(11)C,which are currently used in positron emission tomography and other *** the same time,we study the reactions^(10)B(p,α)^(7)Be and^(70)Zn(p,4n)^(67)ga to put further constraints on the proton distributions at different angles,as well as the reaction^(11)B(p,α)^(8)Be relevant for energy *** experiment was performed at the 1 PW laser facility at VegaⅢin Salamanca,*** distributions of radioisotopes in the forward(with respect to the laser direction)and backward directions were measured using a high purity germanium *** results are in reasonable agreement with numerical estimates obtained following the approach of Kimura and Bonasera[*** ***.,Sect.A 637,164–170(2011)].

关键词： purity estimates backward

Novel approach for modified forms of Camassa–Holm and degasperis–Procesi equations using fractional operator

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Communications in Theoretical Physics 2020年第10期72卷 12-18页

作者： P Veeresha d.g.prakasha department of Mathematics Karnatak UniversityDharwad-580003KarnatakaIndia department of Mathematics Faculty of ScienceDavangere UniversityShivagangothriDavangere 577007KarnatakaIndia

In the present study,we consider the q-homotopy analysis transform method to find the solution for modified Camassa–Holm and degasperis–Procesi equations using the Caputo fractional *** the considered equations are nonlinear and exemplify shallow water *** present the solution procedure for the fractional operator and the projected solution procedure gives a rapidly convergent series *** solution behaviour is demonstrated as compared with the exact solution and the response is plotted in 2d plots for a diverse fractional-order achieved by the Caputo derivative to show the importance of incorporating the generalised *** accuracy of the considered method is illustrated with available results in the numerical *** convergence providence of the achieved solution is established in?-curves for a distinct arbitrary ***,some simulations and the important nature of the considered model,with the help of obtained results,shows the efficiency of the considered fractional operator and algorithm,while examining the nonlinear equations describing real-world problems.

关键词： Laplace transform Camassa–Holm equation q-homotopy analysis method degasperis–Procesi equation fractional derivative

The magnetosheath at high spectral resolution

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Earth and Planetary Physics 2024年第1期8卷 234-246页

作者： K.d.Küntz d.Koutroumpa W.R.dunn A.Foster F.S.Porter d.g.Sibeck B.Walsh The Henry A.Rowland department of Physics and Astronomy Johns Hopkins University3701 San Martin DriveBaltimoreMD21218USA NASA goddard Space Flight Center 8800 Greenbelt RoadGreenbeltMD 20771USA LATMOS-OVSQ CNRSUVSQ Paris-SaclaySorbonne Université11 Boulevard d’Alembert78280GuyancourtFrance department of Physics and Astronomy University College LondonLondonUK The Centre for Planetary Science at UCL/Birkbeck Gower StreetLondon WC1E 6BTUK Center for Astrophysics Harvard University&Smithsonian Institution60 Garden StreetCambridgeMA 02138USA Center for Space Physics Boston University110 Cummington MallBostonMAUSA

While we eagerly anticipate SMILE’s(Solar wind Magnetosphere Ionosphere Link Explorer)unprecedented X-ray observations of the Earth’s magnetosheath and the initiation of a new era of magnetospheric research,it seems appropriate to look ahead to the abilities of the next generation of astrophysics *** these,the Line Emission Mapper(LEM),a large aperture micro-calorimeter based mission,is currently planned to be able to observe the magnetosheath at high spectral resolution(~2 eV).With a field of view of~30′,LEM will allow higher spatial resolution and higher cadence measurement of the motion of a very small portion of the magnetopause over relatively short periods of time(multiple hours),complementing SMILE’s global ***’s strength is its spectral *** will be able to measure the abundance of a broad range of elements and ionization states,many of which are inaccessible to current in situ instruments,and will be able to separate the emission from the magnetosheath from the emission from the cosmic X-ray background using the difference in their relative velocities.

关键词： magnetosheath charge exchange solar wind abundances

Atomistic Investigation of Shock-Induced Amorphization within Micro-shear Bands in Hexagonal Close-Packed Titanium

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Acta Metallurgica Sinica(English Letters) 2024年第9期37卷 1590-1600页

作者： Z.C.Meng K.g.Wang T.Ali d.Li C.g.Bai d.S.Xu S.J.Li A.H.Feng g.J.Cao J.H.Yao Q.B.Fan H.Wang R.Yang Institute of Metal Research Chinese Academy of SciencesShenyang 110016China School of Materials Science and Engineering University of Science and Technology of ChinaShenyang 110016China Interdisciplinary Centre for Additive Manufacturing(ICAM) School of Materials and ChemistryUniversity of Shanghai for Science and TechnologyShanghai 200093China School of Materials Science and Engineering Tongji UniversityShanghai 201804China Key Laboratory for Light-Weight Materials Nanjing Tech UniversityNanjing 210009China National Key Laboratory of Science and Technology on Materials Under Shock and Impact School of Materials Science and EngineeringBeijing Institute of TechnologyBeijing 100081China Beijing Institute of Technology Chongqing Innovation Center Chongqing 401135China

The mechanical response of a single crystal titanium sample against(0001)α surface impact was investigated using molecular dynamics ***,non-uniform plastic deformation was observed in the *** high strain rates,amorphization occurred near the edge of the contact region where severe shear strain induced a large number of stacking faults(SFs)and *** contrast,the central part of the contact region underwent less deformation with significantly fewer ***,instead of amorphization by consuming SFs and dislocations,there was a gradual increase in the density of dislocations and SFs during the process of *** local amorphous regions eventually grew into shear bands.

关键词： Shock compression Amorphization Shear band Titanium Molecular dynamics

Malargüe Site Remediation: A Successful Solution for Uranium Mill Tailings

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原子能科学技术 2024年

作者： BARARI E díAZ J g gIOMIA KEMPF R A National Atomic Energy Commission Av.Del Libertador 8250 Ciudad Autónoma de Buenos AiresC1429BNP Argentina

Comisión Nacional de Energía Atómica(CNEA) has the responsibility for restoring uranium mining facilities once the operations have finished. CNEA, within its Environmental Program and in compliance with its legal responsibilities, decides to implement a restoration project for all sites related to the mining and processing of uranium ores. The Malargüe Site is located within the Province of Mendoza in the city of Malargüe. It is the first site to successfully complete its remediation. The activities consist of relocation of tailings to an engineering repository. The tailings management(encapsulation) and rehabilitation of the area was finished in June 2017. The remediation alternative for the ore tailings was selected after conducting comparative studies and submitted the project to the society for consideration. The objective of the encapsulation of the mineral tails is to isolate them from the environment, also proceeding with the decontamination and rehabilitation of the area(landscaping,post-closure monitoring and 20 years monitoring period). Encapsulation consisted of the construction of a containment cell for the mine tailings, to isolate them and prevent pollutants from entering the environment through the transfer routes. To clean the impacted areas, the soil was removed, it was incorporated into the encapsulation, and the filling was carried out with natural soils from the *** prevents radon transfer to the environment, as 222Ra is an alpha emitter with a half-life of four days, which produces its own radioactive progeny. Radon progeny are solids, and when a 222Ra nucleus emits an alpha particle into the air, the resulting 218Po nucleus, momentarily electrically charged, adheres to any dust particle. Remediation prevents the discharge into the air containing radon and also containing dust particles charged with intensely radioactive radon progeny. The tasks mentioned make it possible to decrease radon emanation, reduce radiological risks to the

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