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Basic theory of fractional differential equations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Basic theory of fractional differential equations /Yong Zhou.
作者:	Zhou, Yong,
出版者:	New Jersey :World Scientific,c2024.
面頁冊數:	xiii, 501 p. :col. port ;25 cm.
標題:	Fractional differential equations.
ISBN:	9789811271687 (hbk.) :

Basic theory of fractional differential equations /
Zhou, Yong,1964-

Basic theory of fractional differential equations /Yong Zhou. - 3rd ed. - New Jersey :World Scientific,c2024. - xiii, 501 p. :col. port ;25 cm.

Includes bibliographical references (p. 473-495) and index.

"This accessible monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary differential equations and evolution equations. It is self-contained and unified in presentation, and provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, Picard operators technique, critical point theory and semigroups theory. This book is based on the research work done so far by the author and other experts, and contains comprehensive up-to-date materials on the topic. In this third edition, four new topics have been added: Hilfer fractional evolution equations and infinite interval problems, oscillations and nonoscillations, fractional Hamiltonian systems, fractional Rayleigh-Stokes equations, and wave equations. The bibliography has also been updated and expanded. This book is useful to researchers, graduate or PhD students dealing with fractional calculus and applied analysis, differential equations, and related areas of research."--Back cover.

ISBN: 9789811271687 (hbk.) :NT$4454Subjects--Topical Terms:

709091
Fractional differential equations.

LC Class. No.: QA372 / .Z47 2024

Dewey Class. No.: 515/.352

Basic theory of fractional differential equations /
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020 $a 9789811271687 (hbk.) : $c NT$4454
020 $a 9811271682 (hbk.)
020 $z 9789811271694 (ebook for institutions)
020 $z 9789811271700 (ebook for individuals)
035 $a (OCoLC)1356502792
035 $a on1356502792
040 $a YDX $b eng $c YDX $d OCLCO $d OCLCL $d DVP $d OCLCO $d UIU $d OCLCQ
050 0 0 $a QA372 $b .Z47 2024
082 0 4 $a 515/.352 $q OCoLC $2 23/eng/20240417
100 1 $a Zhou, Yong, $d 1964- $3 709090
245 1 0 $a Basic theory of fractional differential equations / $c Yong Zhou.
250 $a 3rd ed.
260 $a New Jersey : $b World Scientific, $c c2024.
300 $a xiii, 501 p. : $b col. port ; $c 25 cm.
504 $a Includes bibliographical references (p. 473-495) and index.
520 $a "This accessible monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary differential equations and evolution equations. It is self-contained and unified in presentation, and provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, Picard operators technique, critical point theory and semigroups theory. This book is based on the research work done so far by the author and other experts, and contains comprehensive up-to-date materials on the topic. In this third edition, four new topics have been added: Hilfer fractional evolution equations and infinite interval problems, oscillations and nonoscillations, fractional Hamiltonian systems, fractional Rayleigh-Stokes equations, and wave equations. The bibliography has also been updated and expanded. This book is useful to researchers, graduate or PhD students dealing with fractional calculus and applied analysis, differential equations, and related areas of research."--Back cover.
650 0 $a Fractional differential equations. $3 709091
650 0 $a Differential equations. $3 183925
650 0 $a Fractional calculus. $3 208302