05467nam 2201309z- 450 991055711530332120210501(CKB)5400000000040893(oapen)https://directory.doabooks.org/handle/20.500.12854/68941(oapen)doab68941(EXLCZ)99540000000004089320202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierAdvances in Differential and Difference Equations with Applications 2020Basel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (348 p.)3-03936-870-2 3-03936-871-0 It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.Mathematics & sciencebicsscResearch & information: generalbicsscabsolute errorsapplication to simulated dataapproximate controllabilityArrhenius activation energybackward difference formulabinary chemical reactionCaputo fractional derivativecarbon nanotubescentral finite difference approximationsclassificationcomplex zeroscubic B-splineDarbo fixed pointDarcy-Forchheimer flowdegenerate evolution equationdegenerate Hermite polynomialsdifferential equationsdouble-parametric formdynamic equationsestimation in diffusion processexact controllabilityexistenceexponential stabilityfinite differencesfractional calculusfractional Caputo derivativefractional derivativefractional differential equationsfractional diffusion-wave equationfractional dynamical model of marriagefractional symmetric Hahn difference operatorfractional symmetric Hahn integralfractional Taylor vectorFRDTMGreen functionHilbert spaceill-posed problemkerosene oil-based fluidKuratowski measure of noncompactnesslinear control systemlinear differential equationlinear output feedbackmild solutionmixed neutral differential equationsmulti-stage methodmulti-step methodn-th order linear differential equationnanoparticlesnecessary and sufficient conditionsnon-instantaneous impulsesnon-linear differential equationnonlocal effectsnumerical solutionnumerical solutionsoscillationpowers of stochastic Gompertz diffusion modelspowers of stochastic lognormal diffusion modelsRiemann-Liouville fractional integralrotating diskRunge-Kutta methodsecond order differential equationssectorial operatorstabilizationstagnation pointstate feedback controlstationary distribution and ergodicitystiff systemsymmetric identitiesthermal radiationthird orderTikhonov regularization methodtime scalestrend functiontriangular fuzzy numbertwo-dimensional waveletstwo-point boundary value problemuncertain systemupper Bohl exponentvariable thicker surfaceMathematics & scienceResearch & information: generalBaleanu Dumitruedt522554Baleanu DumitruothBOOK9910557115303321Advances in Differential and Difference Equations with Applications 20203037424UNINA