The Modified Variational Iteration Method to Solve Linear Fractional Differential Equations

Nader M. Bassi *

Ministry of Education, Sudan.

Anazeer Ismail

University of Geneina, Sudan.

*Author to whom correspondence should be addressed.


Abstract

In this work we conceive a method of  how the Lagrange multiplier of modified Variational Iteration Method can be defined from Laplace transform, And we use this technique to solve both differential equations and FDEs with initial value conditions,  With Illustrative examples by  applying the modified VIM to both Ordinary differential equations and fractional Differential Equations.

Keywords: Variational iteration method, Lagrange multiplier, Laplace transform, fractional differential equations, Caputo derivative


How to Cite

Bassi, Nader M., and Anazeer Ismail. 2022. “The Modified Variational Iteration Method to Solve Linear Fractional Differential Equations”. Journal of Advances in Mathematics and Computer Science 37 (8):57-64. https://doi.org/10.9734/jamcs/2022/v37i830472.

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