LEADER 04917nam 2200985z- 450 001 9910557324203321 005 20231214133556.0 035 $a(CKB)5400000000042637 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/76833 035 $a(EXLCZ)995400000000042637 100 $a20202201d2021 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNew Challenges Arising in Engineering Problems with Fractional and Integer Order 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2021 215 $a1 electronic resource (182 p.) 311 $a3-0365-1968-8 311 $a3-0365-1969-6 330 $aMathematical 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. 606 $aTechnology: general issues$2bicssc 610 $afractional kinetic equation 610 $aRiemann-Liouville fractional integral operator 610 $aincomplete I-functions 610 $aLaplace transform 610 $afractional differential equations 610 $afractional generalized biologic population 610 $aSumudu transform 610 $aAdomian decomposition method 610 $aCaputo fractional derivative 610 $aoperator theory 610 $atime scales 610 $aintegral inequalities 610 $aBurgers' equation 610 $areproducing kernel method 610 $aerror estimate 610 $aDirichlet and Neumann boundary conditions 610 $aCaputo derivative 610 $aLaplace transforms 610 $aconstant proportional Caputo derivative 610 $amodeling 610 $aVolterra-type fractional integro-differential equation 610 $aHilfer fractional derivative 610 $aLorenzo-Hartely function 610 $ageneralized Lauricella confluent hypergeometric function 610 $aElazki transform 610 $acaputo fractional derivative 610 $apredator-prey model 610 $aharvesting rate 610 $astability analysis 610 $aequilibrium point 610 $aimplicit discretization numerical scheme 610 $athe (m + 1/G')-expansion method 610 $athe (2+1)-dimensional hyperbolic nonlinear Schro?dinger equation 610 $aperiodic and singular complex wave solutions 610 $atraveling waves solutions 610 $achaotic finance 610 $afractional calculus 610 $aAtangana-Baleanu derivative 610 $auniqueness of the solution 610 $afixed point theory 610 $ashifted Legendre polynomials 610 $avariable coefficient 610 $athree-point boundary value problem 610 $amodified alpha equation 610 $aBernoulli sub-equation function method 610 $arational function solution 610 $acomplex solution 610 $acontour surface 610 $avariable exponent 610 $afractional integral 610 $amaximal operator 615 7$aTechnology: general issues 700 $aBaskonus$b Haci Mehmet$4edt$01325345 702 $aSa?nchez Ruiz$b Luis Manuel$4edt 702 $aCiancio$b Armando$4edt 702 $aBaskonus$b Haci Mehmet$4oth 702 $aSa?nchez Ruiz$b Luis Manuel$4oth 702 $aCiancio$b Armando$4oth 906 $aBOOK 912 $a9910557324203321 996 $aNew Challenges Arising in Engineering Problems with Fractional and Integer Order$93036777 997 $aUNINA