000			03002nam a2200349 i 4500
001			67753
005			20250729102436.0
008			191014s2019 si 0 eng d
020			_a9789811500985 _q(electronic book)
020			_a9789811501005 _q(paperback)
040			_aBAUN _beng _cBAUN _erda
041	0		_aeng
049			_aBAUN_MERKEZ
050	0	0	_aQA374 _b.O96 2019
100	1		_aOwolabi, Kolade M. _eaut _9124245
245	1	0	_aNumerical methods for fractional differentiation / _cby Kolade M. Owolabi, Abdon Atangana.
250			_a1st ed.
264		1	_aSingapore : _bSpringer Singapore : _bImprint: Springer, _c2019.
300			_aXVI, 328 pages : _billustrations ; _c24 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aSpringer Series in Computational Mathematics, _x0179-3632 ; _v54
505	0	0	_t1. Review of Fractional Differentiation _t-- 2. Finite Difference Approximations _t-- 3. Numerical Approximation of Riemann-Liouville Differentiation _t-- 4. Numerical Approximation of Caputo Differentiation _t-- 5. Numerical Approximation of Caputo-Fabrizio Differentiation _t-- 6. Numerical Approximation of Atangana-Baleanu Differentiation _t-- 7. Application to Ordinary Fractional Differential Equations _t-- 8. Application to Partial Fractional Differential Equation.
520			_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.
650		0	_aDifferential equations. _91562
650		0	_aNumerical analysis. _91922
650		0	_aEpidemiology. _964536
700	1		_aAtangana, Abdon. _eaut _9124246
830		0	_aSpringer Series in Computational Mathematics, _v54 _969054
942			_2lcc _cKT
999			_c95721 _d95721