About fractional quantization and fractional variational principles |
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| Authors: | Dumitru Baleanu |
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| Institution: | 1. Department of Agricultural and Forest Sciences (SAF), Università degli Studi di Palermo, Italy;2. Department of Civil, Environmental, Aerospace, Material Engineering (DICAM), Università degli Studi di Palermo, Italy;1. Firat University, Science Faculty, Department of Mathematics, 23119 Elazig, Turkey;2. Federal University Dutse, Science Faculty, Department of Mathematics, 7156 Jigawa, Nigeria;3. Department of Mathematics, Cankaya University, Ankara, Turkey;4. Institute of Space Sciences, Magurele, Romania;1. Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, PR China;2. College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, PR China;3. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia;4. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Balgat, Ankara, Turkey;5. Institute of Space Sciences, Magurele-Bucharest, Romania |
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| Abstract: | In this paper, a new method of finding the fractional Euler–Lagrange equations within Caputo derivative is proposed by making use of the fractional generalization of the classical Faá di Bruno formula. The fractional Euler–Lagrange and the fractional Hamilton equations are obtained within the 1 + 1 field formalism. One illustrative example is analyzed. |
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