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Intermediate processes and critical phenomena: Theory, method and progress of fractional operators and their applications to modern mechanics |
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| Authors: | XU Mingyu TAN Wenchang |
| Affiliation: | 1. Institute of Applied Mathematics, School of Math & System Science, Shandong University, Jinan 250100, China 2. State Key Laboratory of Turbulence and Complex Systems & Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China |
| Abstract: | From point of view of physics, especially of mechanics, we briefly introduce fractional operators (with emphasis on fractional calculus and fractional differential equations) used for describing intermediate processes and critical phenomena in physics and mechanics, their progress in theory and methods and their applications to modern mechanics. Some authors’ researches in this area in recent years are included. Finally, prospects and evaluation for this subject are made. |
| Keywords: | fractional operators intermediate processes critical phenomena modern mechanics |
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