001450536 000__ 03086cam\a2200541\i\4500 001450536 001__ 1450536 001450536 003__ OCoLC 001450536 005__ 20230310004530.0 001450536 006__ m\\\\\o\\d\\\\\\\\ 001450536 007__ cr\cn\nnnunnun 001450536 008__ 221023s2022\\\\sz\a\\\\ob\\\\000\0\eng\d 001450536 019__ $$a1348488676 001450536 020__ $$a9783031173431$$q(electronic bk.) 001450536 020__ $$a3031173430$$q(electronic bk.) 001450536 020__ $$z9783031173424 001450536 020__ $$z3031173422 001450536 0247_ $$a10.1007/978-3-031-17343-1$$2doi 001450536 035__ $$aSP(OCoLC)1348477677 001450536 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCF$$dOCLCQ$$dUKAHL 001450536 049__ $$aISEA 001450536 050_4 $$aQA372 001450536 08204 $$a515/.83$$223/eng/20221031 001450536 1001_ $$aAmmari, Kaïs,$$eauthor. 001450536 24510 $$aStabilization for some fractional-evolution systems /$$cKaïs Ammari, Fathi Hassine, Luc Robbiano. 001450536 264_1 $$aCham :$$bSpringer,$$c[2022] 001450536 264_4 $$c©2022 001450536 300__ $$a1 online resource (v, 69 pages) :$$billustrations. 001450536 336__ $$atext$$btxt$$2rdacontent 001450536 337__ $$acomputer$$bc$$2rdamedia 001450536 338__ $$aonline resource$$bcr$$2rdacarrier 001450536 4901_ $$aSpringerBriefs in mathematics 001450536 504__ $$aIncludes bibliographical references. 001450536 5050_ $$aIntro -- Contents -- 1 Introduction -- 2 Fractional Feedback Stabilization for a Class of Evolution Systems -- 2.1 Introduction -- 2.2 Augmented Model -- 2.3 Well-Posedness -- 2.4 Strong Stabilization -- 2.5 Lack of Uniform Stabilization -- 2.6 Non-Uniform Stabilization -- 3 Applications to the Fractional-Damped Wave Equation -- 3.1 Internal Fractional-Damped Wave Equation -- 3.2 Fractional-Kelvin-Voigt Damped Wave Equation -- 3.3 Pointwise Fractional-Damped String Equation -- 4 Stabilization of Fractional Evolution Systems with Memory -- 4.1 Introduction -- 4.2 Well-Posedness and Exponential Stabilization -- 4.3 Polynomial Stabilization -- 4.4 Extension to Some Integro-Differential Equation -- Bibliography. 001450536 506__ $$aAccess limited to authorized users. 001450536 520__ $$aThis brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus. The volume is divided into three chapters, the first of which considers the stabilization for some abstract evolution equations with a fractional damping, the second of which validates the abstract results of chapter 1 on concrete examples, and the third of which studies the stabilization of fractional evolution systems with memory. 001450536 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 31, 2022). 001450536 650_0 $$aFractional differential equations. 001450536 655_0 $$aElectronic books. 001450536 7001_ $$aHassine, Fathi,$$eauthor. 001450536 7001_ $$aRobbiano, Luc,$$eauthor. 001450536 77608 $$iPrint version: $$z3031173422$$z9783031173424$$w(OCoLC)1342491276 001450536 830_0 $$aSpringerBriefs in mathematics. 001450536 852__ $$bebk 001450536 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-17343-1$$zOnline Access$$91397441.1 001450536 909CO $$ooai:library.usi.edu:1450536$$pGLOBAL_SET 001450536 980__ $$aBIB 001450536 980__ $$aEBOOK 001450536 982__ $$aEbook 001450536 983__ $$aOnline 001450536 994__ $$a92$$bISE