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04959cam a2200589Ia 4500 |
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1149070051 |
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OCoLC |
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20200425121424.5 |
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m o d |
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200409s2020 enk ob 001 0 eng d |
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|a 9780128172094
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|a 0128172096
|q (electronic bk.)
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|z 9780128172087
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|z 0128172088
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|a (OCoLC)1149070051
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|a YDX
|b eng
|c YDX
|d OPELS
|d EBLCP
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|a COM6
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|a Q314
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|a 515/.83
|2 23
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|a Yang, Xiao-Jun
|c (Mathematician)
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|a General fractional derivatives with applications in viscoelasticity
|h [electronic resource] /
|c Xiao-Jun Yang, Feng Gao, Ju Yang.
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| 264 |
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|a London :
|b Academic Press,
|c 2020.
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| 300 |
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|a 1 online resource.
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|a text
|b txt
|2 rdacontent.
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|a computer
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|2 rdamedia.
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|a online resource
|b cr
|2 rdacarrier.
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|a Includes bibliographical references and index.
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|a 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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|a 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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|a 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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|a 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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|a 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.
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| 650 |
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|a Fractional calculus.
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| 650 |
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|a Viscoelasticity
|x Mathematics.
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| 655 |
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|a Electronic books.
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4 |
|a Electronic books.
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|a Gao, Feng.
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1 |
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|a Yang, Ju.
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| 710 |
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|a ScienceDirect (Online service)
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| 776 |
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|c Original
|z 0128172088
|z 9780128172087
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