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Advanced fractional differential and integral equations /
Fractional calculus deals with extensions of derivatives and integrals to non-integer orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many break-through results found in mathematical physics, finance, h...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hauppauge, New York :
Nova Science Publishers, Inc.,
2014.
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| Colección: | Mathematics research developments series.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; Library of Congress Cataloging-in-Publication Data; Dedication; Contents; Preface; Introduction; Chapter 1: Preliminary Background; Chapter 2: Nonlinear Differential Equations of Fractional Order; Chapter 3: Fractional Order Riemann-Liouville Integral Equations; Chapter 4: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Integral Equations; Chapter 5: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Delay Integral Equations.
- Chapter 6: Fractional Order Riemann-Liouville Integro-Differential EquationsChapter 7: Fractional Order Riemann-Liouville Delay Integro-Differential Equations; Chapter 8: Abstract Integral Equations; Chapter 9: Abstract Integro-Differential Equations; Chapter 10: Abstract Integro-Differential Inclusions; Chapter 11: Weak Solutions for Nonlinear Fractional Differential Equations; Chapter 12: Weak Solutions for Nonlinear Fractional Differential Inclusions; Chapter 13: Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Equations and Inclusions.
- Appendix A: Interpretations and Motivations for Fractional DerivativeReferences; Index; Blank Page.