حساب دیفرانسیل و انتگرال کسری: مقدمه ای برای فیزیکدانان: مقدمه ای برای فیزیکدانان ۲۰۱۱
Fractional Calculus: An Introduction For Physicists: An Introduction for Physicists 2011

1. Contents

2. Foreword

3. Acknowledgments

1. Introduction

2. Functions

3. The Fractional Derivative

4. Friction Forces

5. Fractional Calculus

6. The Fractional Harmonic Oscillator

7. Wave Equations and Parity

8. Nonlocality and Memory Effects

9. Quantum Mechanics

10. Fractional Spin: a Property of Particles Described with the Fractional Schr¨odinger Equation

11. Factorization

12. Symmetries

13. The Fractional Symmetric Rigid Rotor

14. q-deformed Lie Algebras and Fractional Calculus

15. Fractional Spectroscopy of Hadrons

16. Higher Dimensional Fractional Rotation Groups

17. Fractors: Fractional Tensor Calculus

18. Fractional Fields

19. Gauge Invariance in Fractional Field Theories

20. Outlook

24. Bibliography

25. Index