Paper Title :Fractional Calculus in Solving Engineering Problems
Author :Rajib Chakrabarty, Suvankar Barai, Arnab Gupta, Narayanchandra Majee
Article Citation :Rajib Chakrabarty ,Suvankar Barai ,Arnab Gupta ,Narayanchandra Majee ,
(2019 ) " Fractional Calculus in Solving Engineering Problems " ,
International Journal of Advances in Science, Engineering and Technology(IJASEAT) ,
pp. 69-74,
Volume-7,Issue-4
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.
Type : Research paper
Published : Volume-7,Issue-4
DOIONLINE NO - IJASEAT-IRAJ-DOIONLINE-17454
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Published on 2020-11-04 |
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