Fractional Differential Equations
eBook - PDF

Fractional Differential Equations

  1. 527 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Fractional Differential Equations

About this book

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.

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Yes, you can access Fractional Differential Equations by Anatoly Kochubei, Yuri Luchko, Anatoly Kochubei,Yuri Luchko in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2019
eBook ISBN
9783110571660
Edition
1
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Preface
  2. Contents
  3. General theory of Caputo-type fractional differential equations
  4. Problems of Sturm–Liouville type for differential equations with fractional derivatives
  5. Maps with power-law memory: direct introduction and Eulerian numbers, fractional maps, and fractional difference maps
  6. Symmetries and group invariant solutions of fractional ordinary differential equations
  7. Operational method for fractional ordinary differential equations
  8. Lyapunov-type inequalities for fractional boundary value problems
  9. Fractional-parabolic equations and systems. Cauchy problem
  10. Time fractional diffusion equations: solution concepts, regularity, and long-time behavior
  11. Layer potentials for the time-fractional diffusion equation
  12. Fractional-hyperbolic equations and systems. Cauchy problem
  13. Equations with general fractional time derivatives–Cauchy problem
  14. User’s guide to the fractional Laplacian and the method of semigroups
  15. Parametrix methods for equations with fractional Laplacians
  16. Maximum principle for the time-fractional PDEs
  17. Wave equation involving fractional derivatives of real and complex fractional order
  18. Symmetries, conservation laws and group invariant solutions of fractional PDEs
  19. Fractional Duhamel principle
  20. Inverse problems of determining sources of the fractional partial differential equations
  21. Inverse problems of determining parameters of the fractional partial differential equations
  22. Inverse problems of determining coefficients of the fractional partial differential equations
  23. Abstract linear fractional evolution equations
  24. Abstract nonlinear fractional evolution equations
  25. Index