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Titlebook: Topics in Fractional Differential Equations; Sa?d Abbas,Mouffak Benchohra,Gaston M. N‘Guérékata Book 2012 Springer Science+Business Media

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發(fā)表于 2025-3-21 19:00:43 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Topics in Fractional Differential Equations
編輯Sa?d Abbas,Mouffak Benchohra,Gaston M. N‘Guérékata
視頻videohttp://file.papertrans.cn/927/926177/926177.mp4
概述Discusses the progress of fractional calculus as a tool in the study of dynamical systems.Presents solutions to the various classes of Darboux problems for hyperbolic differential equations.Addresses
叢書名稱Developments in Mathematics
圖書封面Titlebook: Topics in Fractional Differential Equations;  Sa?d Abbas,Mouffak Benchohra,Gaston M. N‘Guérékata Book 2012 Springer Science+Business Media
描述??? Topics in Fractional Differential Equations?is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative.???Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental role in the modeling of a considerable number of phenomena; in particular the modeling of memory-dependent and complex media such as porous media. It has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. Some equations present delays which may be finite, infinite, or state-dependent. Others are subject to an impulsive effect. The above problems are studied using the fixed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. This book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. ?
出版日期Book 2012
關(guān)鍵詞Caputo Fractional derivative; Darboux problem; Riemann-Liouville Integral equations; fractional calculu
版次1
doihttps://doi.org/10.1007/978-1-4614-4036-9
isbn_softcover978-1-4899-9547-6
isbn_ebook978-1-4614-4036-9Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer Science+Business Media New York 2012
The information of publication is updating

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發(fā)表于 2025-3-21 22:57:42 | 只看該作者
Topics in Fractional Differential Equations978-1-4614-4036-9Series ISSN 1389-2177 Series E-ISSN 2197-795X
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Developments in Mathematicshttp://image.papertrans.cn/u/image/926177.jpg
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Preliminary Background,In this chapter, we introduce notations, definitions, and preliminary facts that will be used in the remainder of this book.
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Impulsive Partial Hyperbolic Functional Differential Inclusions,In this chapter, we shall present existence results for some classes of initial value problems for impulsive partial hyperbolic differential inclusions with fractional order.
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,Fractional Order Riemann–Liouville Integral Equations,In this chapter, we shall present existence results for some classes of Riemann–Liouville integral equations of two variables by using some fixed-point theorems.
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