LEADER 03771nam 22006015 450 001 9910350243303321 005 20251113201000.0 010 $a981-15-0098-3 024 7 $a10.1007/978-981-15-0098-5 035 $a(CKB)4100000009757408 035 $a(MiAaPQ)EBC5945773 035 $a(DE-He213)978-981-15-0098-5 035 $a(PPN)252429605 035 $a(MiAaPQ)EBC5945673 035 $a(EXLCZ)994100000009757408 100 $a20191014d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumerical Methods for Fractional Differentiation /$fby Kolade M. Owolabi, Abdon Atangana 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2019. 215 $a1 online resource (338 pages) 225 1 $aSpringer Series in Computational Mathematics,$x2198-3712 ;$v54 311 08$a981-15-0097-5 320 $aIncludes bibliographical references. 327 $a1. Review of Fractional Differentiation -- 2. Finite Difference Approximations -- 3. Numerical Approximation of Riemann-Liouville Differentiation -- 4. Numerical Approximation of Caputo Differentiation -- 5. Numerical Approximation of Caputo-Fabrizio Differentiation -- 6. Numerical Approximation of Atangana-Baleanu Differentiation -- 7. Application to Ordinary Fractional Differential Equations -- 8. Application to Partial Fractional Differential Equation. 330 $aThis book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators. Differential and integral operators presented in the book include those with exponential decay law, known as Caputo?Fabrizio differential and integral operators, those with power law, known as Riemann?Liouville fractional operators, and those for the generalized Mittag?Leffler function, known as the Atangana?Baleanu fractional operators. The book reviews existing numerical schemes associated with fractional operators including those with power law, while also highlighting new trends in numerical schemes for recently introduced differential and integral operators. In addition, the initial chapters address useful properties of each differential and integral fractional operator. Methods discussed in the book are subsequently used to solved problems arising in many fields of science, technology, and engineering, including epidemiology, chaos, solitons, fractals, diffusion, groundwater, and fluid mechanics. Given its scope, the book offers a valuable resource for graduate students of mathematics and engineering, and researchers in virtually all fields of science, technology, and engineering, as well as an excellent addition to libraries. 410 0$aSpringer Series in Computational Mathematics,$x2198-3712 ;$v54 606 $aDifferential equations 606 $aNumerical analysis 606 $aEpidemiology 606 $aDifferential Equations 606 $aNumerical Analysis 606 $aEpidemiology 615 0$aDifferential equations. 615 0$aNumerical analysis. 615 0$aEpidemiology. 615 14$aDifferential Equations. 615 24$aNumerical Analysis. 615 24$aEpidemiology. 676 $a515.352 700 $aOwolabi$b Kolade M$4aut$4http://id.loc.gov/vocabulary/relators/aut$0782095 702 $aAtangana$b Abdon$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910350243303321 996 $aNumerical Methods for Fractional Differentiation$92530459 997 $aUNINA