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Analysis of Multi Term Fractional Differential Equations using Variational Iteration Method

Author(s)
Amjad S. Shaikh Department of Mathematics, AKI’s Poona College of Arts, Science and Commerce, Pune, India.
Vikas S. Jadhav Department of Mathematics, Nowrosjee Wadia College Pune, India.
Bhausaheb R. Sontakke Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, India.
Kottakkaran S. Nisar Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia.
Abstract
In this paper, we have obtained an approximate solution of multi-term Caputo fractional differential equations (MFDEs) using the Variational iteration method (VIM). Further, we have obtained the convergence criteria and error approximation of VIM for solving generalized multi term fractional differential equations. The obtained results are shown using plots to demonstrated the efficiency and accuracy of the VIM.
Publication Details
Page(s) 15-31
DOI 10.52280/pujm.2021.540102
Published Journal: Punjab University Journal of Mathematics, Volume: 54, Issue: 1, Year: 2022

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Keywords
Convergence analysis, Caputo operator, Multi-term fractional differential equations, Variational iteration method.
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