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Books on the topic 'Fractional derivatives'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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1

Gómez, José Francisco, Lizeth Torres, and Ricardo Fabricio Escobar, eds. Fractional Derivatives with Mittag-Leffler Kernel. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11662-0.

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2

Uchaikin, Vladimir V. Fractional Derivatives for Physicists and Engineers. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33911-0.

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3

A, Kilbas A., and Marichev O. I, eds. Fractional integrals and derivatives: Theory and applications. Switzerland: Gordon and Breach Science Publishers, 1993.

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4

Brychkov, I︠U︡ A. Handbook of special functions: Derivatives, integrals, series, and other formulas. Boca Raton: CRC Press, 2008.

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5

Brychkov, I︠U︡ A. Handbook of special functions: Derivatives, integrals, series and other formulas. Boca Raton: CRC Press, 2008.

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6

Gao, Feng, Xiao-Jun Yang, and Ju Yang. General Fractional Derivatives with Applications in Viscoelasticity. Elsevier Science & Technology Books, 2020.

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7

Gao, Feng, Xiao-Jun Yang, and Ju Yang. General Fractional Derivatives with Applications in Viscoelasticity. Elsevier Science & Technology, 2020.

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8

General Fractional Derivatives with Applications in Viscoelasticity. Elsevier, 2020. http://dx.doi.org/10.1016/c2018-0-01749-1.

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9

Uchaikin, Vladimir V. Fractional Derivatives for Physicists and Engineers: Background and Theory. 2013.

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10

Fractional Differential Equations - An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and some of their Applications. Elsevier, 1999. http://dx.doi.org/10.1016/s0076-5392(99)x8001-5.

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11

Handbook of Special Functions: Derivatives, Integrals, Series and Other Formulas. Chapman & Hall/CRC, 2008.

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12

Fractional Integrals and Derivatives: “True” versus “False”. MDPI, 2021. http://dx.doi.org/10.3390/books978-3-0365-0494-0.

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13

Torres, Lizeth, José Francisco Gómez, and Ricardo Fabricio Escobar. Fractional Derivatives with Mittag-Leffler Kernel: Trends and Applications in Science and Engineering. Springer, 2019.

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14

Uchaikin, Vladimir V. Fractional Derivatives for Physicists and Engineers: Volume I Background and Theory Volume II Applications. Springer, 2013.

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15

Uchaikin, Vladimir V. Fractional Derivatives for Physicists and Engineers: Volume I Background and Theory Volume II Applications. Springer, 2015.

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16

Lai, Kar Sing. Dynamic response of viscoelastic structures using fractional derivative models. 1985.

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17

Fractional-Order Integral and Derivative Operators and Their Applications. MDPI, 2020. http://dx.doi.org/10.3390/books978-3-03936-651-4.

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18

The 2006-2011 World Outlook for Blood and Blood Derivatives and Fractions Excluding Those Used for Passive Immunization and Diagnostics. Icon Group International, Inc., 2005.

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19

Vurgaftman, Igor, Matthew P. Lumb, and Jerry R. Meyer. Bands and Photons in III-V Semiconductor Quantum Structures. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198767275.001.0001.

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Abstract:
Semiconductor quantum structures are at the core of many photonic devices such as lasers, photodetectors, solar cells etc. To appreciate why they are such a good fit to these devices, we must understand the basic features of their band structure and how they interact with incident light. This book takes the reader from the very basics of III-V semiconductors (some preparation in quantum mechanics and electromagnetism is helpful) and shows how seemingly obscure results such as detailed forms of the Hamiltonian, optical transition strengths, and recombination mechanisms follow. The reader does not need to consult other references to fully understand the material, although a few handpicked sources are listed for those who would like to deepen their knowledge further. Connections to the properties of novel materials such as graphene and transition metal dichalcogenides are pointed out, to help prepare the reader for contributing at the forefront of research. The book also supplies a complete, up-to-date database of the band parameters that enter into the calculations, along with tables of optical constants and interpolation schemes for alloys. From these foundations, the book goes on to derive the characteristics of photonic semiconductor devices (with a focus on the mid-infrared) using the same principles of building all concepts from the ground up, explaining all derivations in detail, giving quantitative examples, and laying out dimensional arguments whenever they can help the reader’s understanding. A substantial fraction of the material in this book has not appeared in print anywhere else, including journal publications.
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