DOIONLINE 
DOIONLINE Publish In |
International Journal of Advances in Science, Engineering and Technology(IJASEAT)-IJASEAT |
 Journal Home Volume Issue |
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Issue |
Volume-7,Issue-4 ( Oct, 2019 ) | |||||||||
Paper Title |
Fractional Calculus in Solving Engineering Problems | |||||||||
Author Name |
Rajib Chakrabarty, Suvankar Barai, Arnab Gupta, Narayanchandra Majee | |||||||||
Affilition |
Deptment of Mathematics, Jadavpur University, Kolkata-700032. Deptment of Mathematics, PrabhuJagatbandhu College, Andul-Mouri, Howrah-711302. | |||||||||
Pages |
69-74 | |||||||||
Abstract |
Fractional calculus is a rapidly growing field both in theory and applications in the real world problems to explain several physical phenomena. Fractional order system or systems containing fractional derivatives and integration which has a non- local character. The present paper discusses several definitions of fractional derivatives including a discussion of notation, operators in the sense of Riemann-Liouville, Caputo, Grunwald- Letnikov etc. The concept of fractional order differential equation is also introduced. A specific problem on ordinary fractional order differential equation related to RC circuit with semi-infinite lossy transmission line is studied. A very new approach Adomain Decomposition Method (ADM) is utilized to solve the problem. Keywords - Fractional Differential Equation; Generalized dynamic system; Adomain Decomposition method. | |||||||||
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