Elina Shishkina,
Elina (Voronezh State University (VSU), Russia) Shishkina,
Sergei Sitnik,
Sergei (Belgorod State National Research University (“BelGU?), Russia) Sitnik
e.a.
Elsevier Science
e druk, 2020
9780128197813
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics
Specificaties
Paperback, blz.
|
Engels
Elsevier Science |
e druk, 2020
ISBN13: 9780128197813
Rubricering
Onderdeel van serie
Mathematics in Science and Engineering
Verwachte levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
Inhoudsopgave
<p>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</p>