04917nam 2200985z- 450 991055732420332120231214133556.0(CKB)5400000000042637(oapen)https://directory.doabooks.org/handle/20.500.12854/76833(EXLCZ)99540000000004263720202201d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierNew Challenges Arising in Engineering Problems with Fractional and Integer OrderBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 electronic resource (182 p.)3-0365-1968-8 3-0365-1969-6 Mathematical models have been frequently studied in recent decades, in order to obtain the deeper properties of real-world problems. In particular, if these problems, such as finance, soliton theory and health problems, as well as problems arising in applied science and so on, affect humans from all over the world, studying such problems is inevitable. In this sense, the first step in understanding such problems is the mathematical forms. This comes from modeling events observed in various fields of science, such as physics, chemistry, mechanics, electricity, biology, economy, mathematical applications, and control theory. Moreover, research done involving fractional ordinary or partial differential equations and other relevant topics relating to integer order have attracted the attention of experts from all over the world. Various methods have been presented and developed to solve such models numerically and analytically. Extracted results are generally in the form of numerical solutions, analytical solutions, approximate solutions and periodic properties. With the help of newly developed computational systems, experts have investigated and modeled such problems. Moreover, their graphical simulations have also been presented in the literature. Their graphical simulations, such as 2D, 3D and contour figures, have also been investigated to obtain more and deeper properties of the real world problem.Technology: general issuesbicsscfractional kinetic equationRiemann-Liouville fractional integral operatorincomplete I-functionsLaplace transformfractional differential equationsfractional generalized biologic populationSumudu transformAdomian decomposition methodCaputo fractional derivativeoperator theorytime scalesintegral inequalitiesBurgers' equationreproducing kernel methoderror estimateDirichlet and Neumann boundary conditionsCaputo derivativeLaplace transformsconstant proportional Caputo derivativemodelingVolterra-type fractional integro-differential equationHilfer fractional derivativeLorenzo-Hartely functiongeneralized Lauricella confluent hypergeometric functionElazki transformcaputo fractional derivativepredator-prey modelharvesting ratestability analysisequilibrium pointimplicit discretization numerical schemethe (m + 1/G')-expansion methodthe (2+1)-dimensional hyperbolic nonlinear Schrödinger equationperiodic and singular complex wave solutionstraveling waves solutionschaotic financefractional calculusAtangana-Baleanu derivativeuniqueness of the solutionfixed point theoryshifted Legendre polynomialsvariable coefficientthree-point boundary value problemmodified alpha equationBernoulli sub-equation function methodrational function solutioncomplex solutioncontour surfacevariable exponentfractional integralmaximal operatorTechnology: general issuesBaskonus Haci Mehmetedt1325345Sánchez Ruiz Luis ManueledtCiancio ArmandoedtBaskonus Haci MehmetothSánchez Ruiz Luis ManuelothCiancio ArmandoothBOOK9910557324203321New Challenges Arising in Engineering Problems with Fractional and Integer Order3036777UNINA