Fractional calculus with applications in mechanics : wave propagation, impact and variational principles / / Teodor M. Atanacković [and three others] ; series editor, Noël Challamel

• Record Nr.: UNISA996211734903316
• Pubbl/distr/stampa: London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014; ©2014
• ISBN: 1-118-90913-5; 1-118-90906-2; 1-118-90901-1
• Descrizione fisica: 1 online resource (424 p.)
• Collana: Mechanical Engineering and Solid Mechanics Series
• Altri autori (Persone): AtanackovićTeodor M; ChallamelNoël
• Disciplina: 515
• Soggetti: Calculus; Fractional calculus; Viscoelasticity - Mathematical models; Waves - Mathematical models
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Cover; Title Page; Contents; Preface; PART 1. MATHEMATICAL PRELIMINARIES, DEFINITIONS AND PROPERTIES OF FRACTIONAL INTEGRALS AND DERIVATIVES; Chapter 1. Mathematical Preliminaries; 1.1. Notation and definitions; 1.2. Laplace transform of a function; 1.3. Spaces of distributions; 1.4. Fundamental solution; 1.5. Some special functions; Chapter 2. Basic Definitions and Properties of Fractional Integrals and Derivatives; 2.1. Definitions of fractional integrals and derivatives; 2.1.1. Riemann-Liouville fractional integrals and derivatives; 2.1.1.1. Laplace transform of Riemann-Liouville fractional integrals and derivatives2.1.2. Riemann-Liouville fractional integrals and derivatives on the real half-axis; 2.1.3. Caputo fractional derivatives; 2.1.4. Riesz potentials and Riesz derivatives; 2.1.5. Symmetrized Caputo derivative; 2.1.6. Other types of fractional derivatives; 2.1.6.1. Canavati fractional derivative; 2.1.6.2. Marchaud fractional derivatives; 2.1.6.3. Grünwald-Letnikov fractional derivatives; 2.2. Some additional properties of ; fractional derivatives; 2.2.1. Fermat theorem for fractional derivative; 2.2.2. Taylor theorem for fractional derivatives2.3. Fractional derivatives in distributional setting; 2.3.1. Definition of the fractional integral and derivative; 2.3.2. Dependence of fractional derivative on order; 2.3.3. Distributed-order fractional derivative; PART 2. MECHANICAL SYSTEMS; Chapter 3. Waves in Viscoelastic Materials of Fractional-Order Type; 3.1. Time-fractional wave equation on unbounded domain; 3.1.1. Time-fractional Zener wave equation; 3.1.2. Time-fractional general linear wave equation; 3.1.3. Numerical examples; 3.1.3.1. Case of time-fractional Zener wave equation; 3.1.3.2. Case of time-fractional general linear wave equation3.2. Wave equation of the fractional Eringen-type; 3.3. Space-fractional wave equation on unbounded domain; 3.3.1. Solution to Cauchy problem for space-fractional wave equation; 3.3.1.1. Limiting case ß -> 1; 3.3.1.2. Case u0(x)...; 3.3.1.3. Case u0 (x)...; 3.3.1.4. Case u0(x)...; 3.3.2. Solution to Cauchy problem for fractionally damped space-fractional wave equation; 3.4. Stress relaxation, creep and forced oscillations of a viscoelastic rod; 3.4.1. Formal solution to systems [3.110]-[3.112], [3.113] and either [3.114] or [3.115]; 3.4.1.1. Displacement of rod's end Υ is prescribed by [3.120]3.4.1.2. Stress at rod's end Σ is prescribed by [3.121]; 3.4.2. Case of solid-like viscoelastic body; 3.4.2.1. Determination of the displacement u in a stress relaxation test; 3.4.2.2. Case Υ = Υ0H + F; 3.4.2.3. Determination of the stress s in a stress relaxation test; 3.4.2.4. Determination of displacement u in the case of prescribed stress; 3.4.2.5. Numerical examples; 3.4.3. Case of fluid-like viscoelastic body; 3.4.3.1. Determination of the displacement u in a stress relaxation test; 3.4.3.2. Determination of the stress σ in a stress relaxation test
• Sommario/riassunto: The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscilla

Intertwined Sovereign and Bank Solvencies in a Model of Self-Fulfilling Crisis / / Gustavo Adler

• Record Nr.: UNINA9910970285403321
• Autore: Adler Gustavo
• Pubbl/distr/stampa: Washington, D.C. : , : International Monetary Fund, , 2012
• ISBN: 9781475529395; 1475529392; 9781475548419; 1475548419
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (30 p.)
• Collana: IMF Working Papers; IMF working paper ; ; WP/12/178
• Disciplina: 332.1;332.152
• Soggetti: Financial crises; Banks and banking; Banking; Banks and Banking; Banks; Comparative or Joint Analysis of Fiscal and Monetary Policy; Credit; Debt Management; Debt; Debts, Public; Depository Institutions; Domestic debt; Economic & financial crises & disasters; Finance; Financial Crises; Financial institutions; Financial Instruments; Financial Markets and the Macroeconomy; Financial Risk Management; Financial services industry; Industries: Financial Services; Institutional Investors; Micro Finance Institutions; Monetary economics; Monetary Policy, Central Banking, and the Supply of Money and Credit: General; Money and Monetary Policy; Money Multipliers; Money Supply; Money; Mortgages; Non-bank Financial Institutions; Nonbank financial institutions; Pension Funds; Public debt; Public finance & taxation; Public Finance; Sovereign Debt; Stabilization; Treasury Policy; Argentina
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Cover; Contents; 1. Introduction; 2. Model; 2.1 Households; 2.2 Domestic Financial Intermediaries; 2.3 Firms; 2.4 Government; 2.5 A Competitive Equilibrium; 2.6 A Sustainable Debt Equilibrium; 2.7 A Self-Fulfilling Crisis; 3. Discussion; 3.1 Senior Debt Structure; 3.2 Capital Requirements; 3.3 Public Recapitalization; 4. Conclussions; Figures; 1. Equilibria at Time t; 2. Equilibria with Different Levels of Domestic Debt; 3. Probability of Crisis and Effect on Prices, Private Credit and Output; Appendix; References
• Sommario/riassunto: Large fiscal financing needs, both in advanced and emerging market economies, have often been met by borrowing heavily from domestic banks. As public debt approached sustainability limits in a number of countries, however, high bank exposure to sovereign risk created a fragile inter-dependence between fiscal and bank solvency. This paper presents a simple model of twin (sovereign and banking) crisis that stresses how this interdependence creates conditions conducive to a self-fulfilling crisis.