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

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