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Record Nr. |
UNINA9910140289003321 |
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Titolo |
Fractional calculus with applications in mechanics : vibrations and diffusion processes / / Teodor M. Atanacković [and three others] |
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Pubbl/distr/stampa |
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London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014 |
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©2014 |
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ISBN |
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1-118-57753-1 |
1-118-57750-7 |
1-118-57746-9 |
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Descrizione fisica |
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1 online resource (331 p.) |
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Collana |
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Mechanical Engineering and Solid Mechanics Series |
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Disciplina |
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Soggetti |
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Fractional calculus |
Mechanics - Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
2.1.2. Riemann-Liouville fractional integrals and derivatives on the real half-axis2.1.3. 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; 2.2. Some additional properties of fractional derivatives; 2.2.1. Fermat theorem for fractional derivative; 2.2.2. Taylor theorem for fractional derivatives; 2.3. 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 derivativePART 2. MECHANICAL SYSTEMS; Chapter 3. Restrictions Following from the Thermodynamics |
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