Solutions of time-fractional differential equations using homotopy analysis method

2020/04/06 by Oliveira, D. S., de Oliveira, E. Capelas
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.02365

Abstract

We have used the homotopy analysis method to obtain solutions of linear and nonlinear fractional partial differential differential equations with initial conditions. We replace the first order time derivative by ψ-Caputo fractional derivative, and also we compare the results obtained by the homotopy analysis method with the exact solutions.

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