00918nam# 22002653i 450 SUN008667920150521125028.99388-452-3299-90.0020120117d2007 |0itac50 baitaIT|||| |||||ˆ3: ‰Romanzi e racconti1950-1959Alberto Moraviaa cura di Simone CasiniMilanoClassici Bompiani20072 volumi18 cm.001SUN00866662001 OpereAlberto Moravia3210 MilanoBompiani215 volumi17 cm.MilanoSUNL000284Moravia, AlbertoSUNV052737177392Casini, SimoneSUNV070930BompianiSUNV000160650Pincherle, Alberto <1907- >Moravia, AlbertoSUNV052738ITSOL20181109RICASUN0086679Romanzi e racconti564452UNICAMPANIA05218nam 22008775 450 991029976730332120220406231405.03-319-14756-010.1007/978-3-319-14756-7(CKB)3710000000355406(EBL)1974103(SSID)ssj0001452127(PQKBManifestationID)11789710(PQKBTitleCode)TC0001452127(PQKBWorkID)11487834(PQKB)10621694(DE-He213)978-3-319-14756-7(MiAaPQ)EBC1974103(PPN)184495377(EXLCZ)99371000000035540620150205d2015 u| 0engur|n|---|||||txtccrAdvanced methods in the fractional calculus of variations /by Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F.M. Torres1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (142 p.)SpringerBriefs in Applied Sciences and Technology,2191-530XDescription based upon print version of record.3-319-14755-2 Includes bibliographical references and index.1. Introduction -- 2. Fractional Calculus -- 3. Fractional Calculus of Variations -- 4. Standard Methods in Fractional Variational Calculus -- 5. Direct Methods in Fractional Calculus of Variations -- 6. Application to the Sturm-Liouville Problem -- 7. Conclusion -- Appendix - Two Convergence Lemmas -- Index.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 fractional-order systems. The detailed explanations will interest researchers with backgrounds in applied mathematics, control and optimization as well as in certain areas of physics and engineering.SpringerBriefs in Applied Sciences and Technology,2191-530XCalculus of variationsAutomatic controlPhysicsEconomicsMathematical modelsSystem theoryCalculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Control and Systems Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/T19010Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Economic Theory/Quantitative Economics/Mathematical Methodshttps://scigraph.springernature.com/ontologies/product-market-codes/W29000Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Calculus of variations.Automatic control.Physics.Economics.Mathematical models.System theory.Calculus of Variations and Optimal Control; Optimization.Control and Systems Theory.Mathematical Methods in Physics.Economic Theory/Quantitative Economics/Mathematical Methods.Mathematical Modeling and Industrial Mathematics.Systems Theory, Control.003.3330330.0151510515.64519530.15629.8Malinowska Agnieszka Bauthttp://id.loc.gov/vocabulary/relators/aut755557Odzijewicz Tatianaauthttp://id.loc.gov/vocabulary/relators/autTorres Delfim F.Mauthttp://id.loc.gov/vocabulary/relators/autBOOK9910299767303321Advanced Methods in the Fractional Calculus of Variations2546582UNINA