Shishkina / Sitnik | Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics | Buch | 978-0-12-819781-3 | sack.de

Buch, Englisch, 592 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 509 g

Reihe: Mathematics in Science and Eng

Shishkina / Sitnik

Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics


Erscheinungsjahr 2020
ISBN: 978-0-12-819781-3
Verlag: ACADEMIC PR INC

Buch, Englisch, 592 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 509 g

Reihe: Mathematics in Science and Eng

ISBN: 978-0-12-819781-3
Verlag: ACADEMIC PR INC


Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights.

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Zielgruppe


<p>Researchers, students working in the area of partial differential equations. Advanced undergraduate students, postgraduate students, researchers interested in new methods in differential equations and mathematical physics</p>

Weitere Infos & Material


IntroductionAcknowledgement and thanks1 Basic definitions and propositions2 Basics of fractional calculus and fractional order differentialequations3 Essential of the transmutations4 Weighted generalized functions generated by quadratic form5 Buschman-Erdelyi integral and transmutation operators6 Integral transforms compositions method for transmutations7 Differential equations with Bessel operator8 Applications of transmutations to the different problems9 Fractional powers of Bessel operators10 B-potentials theory11 Fractional differential equations with singular coefficientsConclusionReferences


Shishkina, Elina
Elina Shishkina works in University of Voronezh State University, Voronezh, Russia and Information Technology and Management in Rzeszow, Rzeszow, Poland. Her research focuses on singular differential equations, fractional powers of differential and integral operators, embedding theorems and integral transforms. She earned a specialist in mathematics in 2004 at Voronezh State University, Voronezh, Russia and PhD in mathematics in 2006 from the same university. She started scientific work in 2004 under the guidance of Professor L. N. Lyakhov. In 2019 The International Society for Analysis, its Applications and Computation (ISAAC) presents to E. Shishkina the life membership for achievements in Integral Transforms, Operator Theory, PDE. She is an author of more than 50 articles and 2 monographs.



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