LEADER 03343nam 2200625 450 001 9910796981303321 005 20230814223134.0 010 $a3-11-047283-X 010 $a3-11-047398-4 024 7 $a10.1515/9783110473988 035 $a(CKB)4100000005043692 035 $a(MiAaPQ)EBC5156198 035 $a(DE-B1597)463682 035 $a(OCoLC)1041991560 035 $a(DE-B1597)9783110473988 035 $a(Au-PeEL)EBL5156198 035 $a(EXLCZ)994100000005043692 100 $a20180913d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFractional order crowd dynamics $ecyber-human system modeling and control /$fKecai Cao, YangQuan Chen 210 1$aBoston ;$aBerlin :$cDe Gruyter,$d[2018] 210 4$dİ2018 215 $a1 online resource (140 pages) 225 1 $aFractional calculus in applied sciences and engineering ;$vVolume 4 311 $a3-11-047281-3 327 $tFrontmatter -- $tPreface -- $tContents -- $tAcronyms -- $t1. Introduction -- $tPart I. Fractional modeling of large crowds of pedestrians -- $t2. Microscopic model of fractional order for evacuation of crowds -- $t3. Macroscopic model of fractional order for crowds of pedestrians -- $t4. Mesoscopic model of fractional order for crowds of pedestrians -- $tPart II: Fractional control of large crowds of pedestrians -- $t5. Cluster consensus for crowds of pedestrians at micro-scale -- $t6. Feedback control of crowds of pedestrians at macro-scale -- $t7. Intelligent evacuation systems for crowds of pedestrians -- $tIndex 330 $aThis book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers. 410 0$aFractional calculus in applied sciences and engineering ;$vVolume 4.$x2509-7210 606 $aPedestrian traffic flow$xMathematical models 606 $aFractional calculus 606 $aMATHEMATICS / Differential Equations$2bisacsh 606 $aMATHEMATICS / Mathematical Analysis$2bisacsh 606 $aMATHEMATICS / Calculus$2bisacsh 606 $aMATHEMATICS / Applied$2bisacsh 615 0$aPedestrian traffic flow$xMathematical models. 615 0$aFractional calculus. 615 7$aMATHEMATICS / Differential Equations. 615 7$aMATHEMATICS / Mathematical Analysis. 615 7$aMATHEMATICS / Calculus. 615 7$aMATHEMATICS / Applied. 676 $a363.32/30151583 686 $aMAT003000$aMAT005000$aMAT007000$aMAT034000$2bisacsh 700 $aCao$b Kecai$01564012 702 $aChen$b YangQuan$f1966- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910796981303321 996 $aFractional order crowd dynamics$93832831 997 $aUNINA