Punjab University Journal of Mathematics, Vol 54, No 1 (2022)

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Analysis of Multi Term Fractional Differential Equations using Variational Iteration Method

Amjad S. Shaikh, Vikas S. Jadhav, Bhausaheb R. Sontakke, Kottakkaran S. Nisar

Abstract


In this paper, we have obtained an approximate solution ofmulti-term Caputo fractional differential equations (MFDEs) using theVariational iteration method (VIM). Further, we have obtained the convergencecriteria and error approximation of VIM for solving generalizedmulti term fractional differential equations. The obtained results areshown using plots to demonstrated the efficiency and accuracy of the VIM.
AMS (MOS) Subject Classification Codes: 35A20, 35A22, 34A08, 35R11
Key Words: Multi-term fractional differential equations; Caputo operator; Convergenceanalysis; Variational iteration method.

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