| Description |
1 online resource |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Front Cover -- General Fractional Derivatives With Applications in Viscoelasticity -- Copyright -- Contents -- Preface -- 1 Special functions -- 1.1 Euler gamma and beta functions -- 1.1.1 Euler gamma function -- 1.1.2 Euler beta function -- 1.2 Laplace transform and properties -- 1.3 Mittag-Lef er function -- 1.4 Miller-Ross function -- 1.5 Rabotnov function -- 1.6 One-parameter Lorenzo-Hartley function -- 1.7 Prabhakar function -- 1.8 Wiman function -- 1.9 The two-parameter Lorenzo-Hartley function -- 1.10 Two-parameter Goren o-Mainardi function |
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1.11 Euler-type gamma and beta functions with respect to another function -- 1.12 Mittag-Lef er-type function with respect to another function -- 1.13 Miller-Ross-type function with respect to function -- 1.14 Rabotnov-type function with respect to another function -- 1.15 Lorenzo-Hartley-type function with respect to another function -- 1.16 Prabhakar-type function with respect to another function -- 1.17 Wiman-type function with respect to another function -- 1.18 Two-parameter Lorenzo-Hartley function with respect to another function |
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1.19 Goren o-Mainardi-type function with respect to another function -- 2 Fractional derivatives with singular kernels -- 2.1 The space of the functions -- 2.1.1 The set of Lebesgue measurable functions -- 2.1.2 The weighted space with the power weight -- 2.1.3 The space of absolutely continuous functions -- 2.1.4 The Kolmogorov-Fomin condition -- 2.1.5 The Samko-Kilbas-Marichev condition -- 2.2 Riemann-Liouville fractional calculus -- 2.2.1 Riemann-Liouville fractional integrals -- 2.2.2 Riemann-Liouville fractional derivatives -- 2.3 Osler fractional calculus |
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2.4 Liouville-Weyl fractional calculus -- 2.4.1 Liouville-Weyl fractional integrals -- 2.4.2 Liouville-Weyl fractional derivatives -- 2.5 Samko-Kilbas-Marichev fractional calculus -- 2.5.1 Samko-Kilbas-Marichev fractional integrals -- 2.5.2 Samko-Kilbas-Marichev fractional derivatives -- 2.6 Liouville-Sonine-Caputo fractional derivatives -- 2.6.1 History of Liouville-Sonine-Caputo fractional derivatives -- 2.7 Liouville fractional derivatives -- 2.8 Almeida fractional derivatives with respect to another function -- 2.9 Liouville-type fractional derivative with respect to another function |
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2.10 Liouville-Grünwald-Letnikov fractional derivatives -- 2.10.1 History of the Liouville-Grünwald-Letnikov fractional derivatives -- 2.10.2 Concepts of Liouville-Grünwald-Letnikov fractional derivatives -- 2.10.3 Liouville-Grünwald-Letnikov fractional derivatives on a bounded domain -- 2.11 Kilbas-Srivastava-Trujillo fractional difference derivatives -- 2.12 Riesz fractional calculus -- 2.12.1 Riesz fractional calculus -- 2.12.2 Riesz-type fractional calculus -- 2.12.3 Liouville-Sonine-Caputo-Riesz-type fractional derivatives -- 2.13 Feller fractional calculus |
| Subject |
Fractional calculus.
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Viscoelasticity -- Mathematics.
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Dérivées fractionnaires.
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Viscoélasticité -- Mathématiques.
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Fractional calculus
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| Added Author |
Gao, Feng.
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Yang, Ju.
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| Other Form: |
Print version: Yang, Xiao-Jun (Mathematician). General fractional derivatives with applications in viscoelasticity. London : Academic Press, 2020 0128172088 9780128172087 (OCoLC)1086086231 |
| ISBN |
9780128172094 (electronic bk.) |
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0128172096 (electronic bk.) |
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9780128172087 |
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0128172088 |
| Standard No. |
AU@ 000067052721 |
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DKDLA 820120-katalog:9910110296405765 |
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