| 期刊全稱 | Advanced Methods in the Fractional Calculus of Variations | | 影響因子2023 | Agnieszka B. Malinowska,Tatiana Odzijewicz,Delfim | | 視頻video | http://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 |  | | 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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