^{1}Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Nadia, West Bengal, India
^{2}Department of Applied Mathematics, University of Calcutta, Kolkata, West Bengal, India
^{3}Reactor Control System Design Section Bhabha Atomic Research Centre, Mumbai, India
^{4}Department of Physics, Jadavpur University Kolkata, West Bengal, India
American Journal of Mathematical Analysis.
2015, 3(2), 3238
DOI: 10.12691/ajma322
Copyright © 2015 Science and Education PublishingCite this paper: Uttam Ghosh, Srijan Sengupta, Susmita Sarkar, Shantanu Das. Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of MittagLeffler Function.
American Journal of Mathematical Analysis. 2015; 3(2):3238. doi: 10.12691/ajma322.
Correspondence to: Uttam Ghosh, Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Nadia, West Bengal, India. Email:
uttam_math@yahoo.co.inAbstract
There is no unified method to solve the fractional differential equation. The type of derivative here used in this paper is of Jumarie formulation, for the several differential equations studied. Here we develop an algorithm to solve the linear fractional differential equation composed via Jumarie fractional derivative in terms of MittagLeffler function; and show its conjugation with ordinary calculus. In these fractional differential equations the one parameter MittagLeffler function plays the role similar as exponential function used in ordinary differential equations.
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