eBook - ePub
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics
- 592 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics
About this book
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.
- Presents the universal transmutation method as the most powerful for solving many problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods
- Combines mathematical rigor with an illuminating exposition full of historical notes and fascinating details
- Enables researchers, lecturers and students to find material under the single "roof"
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Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- Acknowledgments and thanks
- Introduction
- 1: Basic definitions and propositions
- 2: Basics of fractional calculus and fractional order differential equations
- 3: Essentials of transmutations
- 4: Weighted generalized functions generated by quadratic forms
- 5: Buschman–Erdélyi integral and transmutation operators
- 6: Integral transforms composition method for transmutations
- 7: Differential equations with Bessel operator
- 8: Applications of transmutations to different problems
- 9: Fractional powers of Bessel operators
- 10: B-potentials theory
- 11: Fractional differential equations with singular coefficients
- 12: Conclusion
- References
- Index
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Yes, you can access Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics by Elina Shishkina,Sergei Sitnik in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over 1.5 million books available in our catalogue for you to explore.