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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ANALYTICAL SOLUTION OF SOME NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF THE FREDHOLM SECOND KIND BY A NEW APPROXIMATION TECHNIQUE OF THE NUMERICAL SBA METHOD

Authors

  • Kamate Adama
  • Djibet Mbaiguesse
  • Bationo Jeremie Yiyureboula
  • Bakari Abbo
  • Youssouf Pare

Keywords:

nonlinear fractional integro-differential equation of Fredholm type, SBA method, fractional integral, Caputo fractional derivative

DOI:

https://doi.org/10.17654/0975045222003

Abstract

In this paper, we implement a new approximation technique of the numerical SBA method, in order to determine the exact analytical solutions of some nonlinear fractional second kind Fredholm equations.

Received: March 28, 2022 
Accepted: May 10, 2022 

References

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Gérard Zongo, Ousséni So, Geneviève Barro, Youssouf Paré and Blaise Somé, A comparison of Adomian’s method and SBA method on the nonlinear Schrödinger’s equation, Far East Journal of Dynamical Systems 29(4) (2017), 149-161.

Y. Pare, Resolution de quelques equations fonctionnelles par la numerique SBA (Somé Blaise-Abbo), Thèse de Doctorat unique, Université de Ouagadougou, UFR/SEA, Departement Mathematiques et Informatique (Burkina Faso), 2010.

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Y. Pare, F. Bassono and B. Some, A new technique for numerical resolution of few non linear integral equations of Fredholm by SBA method, Far East J. Appl. Math. 70(1) (2012), 21-33.

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I. Podlubny, Fractional Differential Equations, Academic Press, New York, 1999.

K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York, 1993.

Published

2022-06-30

Issue

Section

Articles

How to Cite

ANALYTICAL SOLUTION OF SOME NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF THE FREDHOLM SECOND KIND BY A NEW APPROXIMATION TECHNIQUE OF THE NUMERICAL SBA METHOD. (2022). International Journal of Numerical Methods and Applications, 21, 37-58. https://doi.org/10.17654/0975045222003

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