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007			cr aa aaaaa
008			091123s2015 si ob 001 0 eng d
010			_a2014045570
020			_a9789814641104
020			_a9789814641098
035			_a(OCoLC)
040			_aWSPC _beng _cWSPC _dBAUN _erda
049			_aBAUN_MERKEZ
050	0	4	_aQA314 _b.B354 2015
100	1		_aBaleanu, D. _q(Dumitru) _988192 _eaut
245	1	0	_aAsymptotic integration and stability : _bfor ordinary, functional and discrete differential equations of fractional order / _cDumitru Baleanu, Octavian G. Mustafa.
264		1	_aSingapore ; _aHackensack, N.J. : _bWorld Scientific Pub. Co., _cc2015.
300			_a1 online resource (xi, 196 pages)
336			_2rdacontent _atext _btxt
337			_2rdamedia _acomputer _bc
338			_2rdacarrier _aonline resource _bnc
347			_adata file _2rda
490	1		_aSeries on complexity, nonlinearity and chaos ; _vvol. 4.
504			_aIncludes bibliographical references (pages 181-194) and index.
505	0	0	_t1. The differential operators of order 1 + [symbol] and their integral counterparts. _t1.1. The gamma function. _t1.2. The Riemann-Liouville derivative. _t1.3. The Abel computation. _t1.4. The operators. The Caputo differential. _t1.5. The integral representation of the operators. _tThe half-line case _t-- 2. Existence and uniqueness of solution for the differential equations of order [symbol]. _t2.1. A Lovelady-Martin uniqueness result for the equation (2.2). _t2.2. A Nagumo-like uniqueness criterion for the fractional differential equations with a Riemann-Liouville derivative. _t2.3. A Wintner-type existence interval for the equation (2.2) _t-- 3. Position of the zeros, the Bihari inequality, and the asymptotic behavior of solutions for the differential equations of order [symbol]. _t3.1. A Fite-type length criterion for fractional disconjugacy. _t3.2. The Bihari inequality. _t3.3. Asymptotic integration of the differential equations of orders 1 and [symbol]. _t3.4. The Bihari asymptotic integration theory of the differential equations of second order _t-- 4. Asymptotic integration for the differential equations of order 1 + [symbol]. _t4.1. An asymptotic integration theory of Trench type. _t4.2. Asymptotically linear solutions. _t4.3. A Bihari-like result. _t4.4. Convergent solutions. _t4.3. Lp-solutions of the equation (4.3) _t-- 5. Existence and uniqueness of solution for some delay differential equations with Caputo derivatives _t-- 6. Existence of positive solutions for some delay fractional differential equations with a generalized N-term. _t6.1. The existence theorem. _t6.2. Existence and uniqueness for the solution _t-- 7. Stability of a class of discrete fractional nonautonomous systems _t-- 8. Mittag-Leffler stability of fractional nonlinear systems with delay _t-- 9. Razumikhin stability for fractional systems in the presence of delay _t-- 10. Controllability of some fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. _t10.1. Preliminaries. _t10.2. The problem. _t10.3. A controllability result _t-- 11. Approximate controllability of Sobolev type nonlocal fractional stochastic dynamic systems in Hilbert spaces.
520			_aThis volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations.
650		0	_aFractional calculus _9101285
650		0	_aFractional differential equations _9101286
655		4	_aElectronic books.
700	1		_aMustafa, Octavian G. _9101287 _eaut
710	2		_aWorld Scientific (Firm)
830		0	_9108056 _aSeries on complexity, nonlinearity and chaos ; _vvol. 4.
856	4	0	_uhttp://www.worldscientific.com/worldscibooks/10.1142/9413#t=toc
776	1		_z9789814641098.
900			_aEK2
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