Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics (Mathematics in Science & Engineering)

Shishkina, Elina/ Sitnik, Sergei

Academic Press Inc（2020/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 592 p.
• 言語 ENG
• 商品コード 9780128197813
• DDC分類 515.35

Full Description

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.

Contents

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