{"product_id":"9789814579919","title":"Basic Theory Of Fractional Differential Equations","description":"\u003cp\u003eThis invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations. It is self-contained and unified in presentation, and provides readers the necessary background material required to go further into the subject and explore the rich research literature.\u003c\/p\u003e\u003cp\u003eThe tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, the Picard operators technique, critical point theory and semigroups theory. Based on research work carried out by the author and other experts during the past four years, the contents are very new and comprehensive. It is useful to researchers and graduate students for research, seminars, and advanced graduate courses, in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003ePreliminaries:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eSome Notations, Concepts and Lemmas\u003c\/li\u003e\n\u003cli\u003eFractional Calculus\u003c\/li\u003e\n\u003cli\u003eSome Results from Nonlinear Analysis\u003c\/li\u003e\n\u003cli\u003eSemigroups\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eFractional Functional Differential Equations:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eNeutral Equations with Bounded Delay\u003c\/li\u003e\n\u003cli\u003e\n\u003ci\u003ep\u003c\/i\u003e-Type Neutral Equations\u003c\/li\u003e\n\u003cli\u003eNeutral Equations with Infinite Delay\u003c\/li\u003e\n\u003cli\u003eIterative Functional Differential Equations\u003c\/li\u003e\n\u003cli\u003eNotes and Remarks\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eFractional Ordinary Differential Equations in Banach Spaces:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eCauchy Problems via Measure of Noncompactness Method\u003c\/li\u003e\n\u003cli\u003eCauchy Problems via Topological Degree Method\u003c\/li\u003e\n\u003cli\u003eCauchy Problems via Picard Operators Technique\u003c\/li\u003e\n\u003cli\u003eNotes and Remarks\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eFractional Abstract Evolution Equations:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eEvolution Equations with Riemann-Liouville Derivative\u003c\/li\u003e\n\u003cli\u003eEvolution Equations with Caputo Derivative\u003c\/li\u003e\n\u003cli\u003eNonlocal Cauchy Problems for Evolution Equations\u003c\/li\u003e\n\u003cli\u003eAbstract Cauchy Problems with Almost Sectorial Operators\u003c\/li\u003e\n\u003cli\u003eNotes and Remarks\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eFractional Boundary Value Problems via Critical Point Theory:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eExistence of Solution for BVP with Left and Right Fractional Integrals\u003c\/li\u003e\n\u003cli\u003eMultiple Solutions for BVP with Parameters\u003c\/li\u003e\n\u003cli\u003eInfinite Solutions for BVP with Left and Right Fractional Integrals\u003c\/li\u003e\n\u003cli\u003eExistence of Solutions for BVP with Left and Right Fractional Derivatives\u003c\/li\u003e\n\u003cli\u003eNotes and Remarks\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eFractional Partial Differential Equations:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eFractional Euler-Lagrange Equations\u003c\/li\u003e\n\u003cli\u003eTime-Fractional Diffusion Equations\u003c\/li\u003e\n\u003cli\u003eFractional Hamiltonian Systems\u003c\/li\u003e\n\u003cli\u003eFractional Schrödinger Equations\u003c\/li\u003e\n\u003cli\u003eNotes and Remarks\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students and researchers in the fields of fractional differential equations, fractional calculus and related areas of research.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47143881113840,"sku":"9789814579919","price":44.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814579919_p0.jpg?v=1763691131","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814579919","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}