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

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 methodsCombines mathematical rigor with an illuminating exposition full of historical notes and fascinating detailsEnables researchers, lecturers and students to find material under the single roof INDICE: 1. Basic definitions and propositions 2. Essentials on transmutations 3. Basics of fractional calculus and fractional order differential equations 4. Weighted generalized functions generated by indefinite quadratic form 5. Buschman-Erdelyi integral operators and transmutations 6. Integral transforms compositions method (ITCM) for transmutations 7. Differential equations with Bessel operator(without fractional powers operators) 8. Transmutations for 1D Schrodinger equation 9. B-potentials theory 10. Fractional powers of Bessel operators 11. Differential equations (based on fractional powers operators) 12. Fractional differential equations with singular coefficients 13. Applications of Buschman-Erdelyi integral operators 14. Applications of Euler-Poisson-Darboux differential equations 15. Applications of B-potentials theory and fractional differential equations 16. Different applications

• ISBN: 978-0-12-819781-3
• Editorial: Academic Press
• Encuadernacion: Rústica
• Páginas: 320
• Fecha Publicación: 01/06/2020
• Nº Volúmenes: 1
• Idioma: Inglés