International Journal of Numerical Methods and Applications

The International Journal of Numerical Methods and Applications publishes research articles on numerical methods and their applications in various fields, including differential equations, fluid dynamics, and bioinformatics. It also welcomes survey articles on new methods in numerical analysis.

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SBA PLUS METHOD TO FIND SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN THE SENSE OF CAPUTO

Authors

  • Oumar MADAI
  • Germain KABORE
  • Bakari Abbo
  • Ousséni SO
  • Blaise SOME

Keywords:

Some Blaise Abbo (SBA) method, fractional functional equations, Caputo derivative, Riemann-Liouville integral, partial differential equations.

DOI:

https://doi.org/10.17654/0975045224002

Abstract

In this article, we focus on the solution of some nonlinear partial differential equations of fractional order in Caputo sense using the SBA plus method.

The SBA plus method is based on the combination of the Adomian decomposition method, Picard’s principle and the method of successive approximations. This method uses a process that converges rapidly to the exact solution, when it exists, in the function space, where the problem is posed.

Received: October 3, 2023
Accepted: November 10, 2023

References

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Published

2023-12-29

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Section

Articles

How to Cite

SBA PLUS METHOD TO FIND SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN THE SENSE OF CAPUTO. (2023). International Journal of Numerical Methods and Applications, 24(1), 17-29. https://doi.org/10.17654/0975045224002

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