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Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations

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Abstract

This article deals with two different methods to solve a time fractional partial integro-differential equation. The fractional derivatives are defined here in Caputo sense. The model problem is solved using the Adomian decomposition method and homotopy perturbation method. Moreover, this paper proves the convergence analysis of the solution based on the present methods. Numerical evidences are illustrated in support of the theoretical analysis.

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  1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India

    A. Panda, S. Santra & J. Mohapatra

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  1. A. Panda
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Panda, A., Santra, S. & Mohapatra, J. Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations. J. Appl. Math. Comput. 68, 2065–2082 (2022). https://doi.org/10.1007/s12190-021-01613-x

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