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Titlebook: Advanced Methods in the Fractional Calculus of Variations; Agnieszka B. Malinowska,Tatiana Odzijewicz,Delfim Book 2015 The Editor(s) (if

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發(fā)表于 2025-3-21 19:13:34 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Advanced Methods in the Fractional Calculus of Variations
影響因子2023Agnieszka B. Malinowska,Tatiana Odzijewicz,Delfim
視頻videohttp://file.papertrans.cn/146/145947/145947.mp4
發(fā)行地址Provides the reader with a unifying approach to the fractional calculus of variations.The first treatment of the fractional calculus of variations and optimal control with general kernels.Broadens acc
學(xué)科分類SpringerBriefs in Applied Sciences and Technology
圖書封面Titlebook: Advanced Methods in the Fractional Calculus of Variations;  Agnieszka B. Malinowska,Tatiana Odzijewicz,Delfim  Book 2015 The Editor(s) (if
影響因子.This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler–Lagrange equations to include fractional derivatives..The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems in which integer-order integrals are replaced by fractional integrals. General theorems are obtained for several types of variational problems for which recent results developed in the literature can be obtained as special cases. In particular, the authors offer necessary optimality conditions of Euler–Lagrange type for the fundamental and isoperimetric problems, transversality conditions, and Noether symmetry theorems. The existence of solutions is demonstrated under Tonelli type conditions. The results are used to prove the existence of eigenvalues and corresponding orthogonal eigenfunctions of fractional Sturm–Liouville problems..Advanced Methods in the Fractional Calculus of Variations is a self-contained text which will be useful for graduate students wishing to learn about fraction
Pindex Book 2015
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Binary Liquid Systems of NonelectrolytesA brief exposition of fractional order operators and their properties is given. After that, we introduce the notion of generalized fractional operators.
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Class index of Organic substances,We study the Sturm–Liouville eigenvalue problem with Caputo fractional derivatives and show that fractional variational principles are useful for proving existence of eigenvalues and eigenfunctions.
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978-3-319-14755-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Agnieszka B. Malinowska,Tatiana Odzijewicz,Delfim Provides the reader with a unifying approach to the fractional calculus of variations.The first treatment of the fractional calculus of variations and optimal control with general kernels.Broadens acc
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