Universal Journal of Mathematics and Mathematical Sciences

The Universal Journal of Mathematics and Mathematical Sciences promotes the publication of articles in interdisciplinary fields such as finance, bioinformatics, and engineering, as well as core topics in mathematics. It encourages innovative ideas for teaching mathematics and statistics.

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APPLICATION OF THE SBA METHOD TO THE SOLUTION OF SOME NONLINEAR FRACTIONAL EQUATIONS IN THE SENSE OF CAPUTO HADAMARD

Authors

  • Germain KABORE
  • Abakar Mahamat SEID
  • Bakari Abbo
  • Ousséni SO
  • Blaise SOME

Keywords:

SBA method, Hadamard integral, Caputo Hadamard fractional derivative, Caputo Hadamard fractional differential equation.

DOI:

https://doi.org/10.17654/2277141723019

Abstract

We construct exact solutions, when these exist, of Caputo Hadamard equations and systems of fractional equations. Our results are obtained using an improved version of the SBA method.

Received: September 26, 2023
Accepted: November 10, 2023

References

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Blaise SOME, Méthode SBA de résolution des modèles mathématiques en environnement, Éditions Universitaires Européennes, 2018.

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G. KABORE, W. SOME, M. KÉRÉ, O. SO and B. SOME, Solving some fractional ordinary differential equations by SBA method, Journal of Mathematics Research 15(1) (2023). doi: 10.5539/jmr.v15n1p47.

Germain KABORE, KÉRÉ Moumini, Windjiré SOME, Ousséni SO and Blaise SOME, Solving some fractional equations, in the sense of Riemann-Liouville, of Navier-Stokes by the numerical method SBA plus, International Journal of Numerical Methods and Applications 23(2) (2023), 209-228.

http://dx.doi.org/10.17654/0975045223012.

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Kamate Adama, Bationo Jeremie Yiyureboula, Djibet Mbaiguesse and Youssouf Pare, Analytical solutions of classical and fractional Navier-Stokes equations by the SBA method, Journal of Mathematics Research 14(4) (2022).

https://doi.org/10.5539/jmr.v14n4p20.

Published

2024-01-09

Issue

Section

Articles

How to Cite

APPLICATION OF THE SBA METHOD TO THE SOLUTION OF SOME NONLINEAR FRACTIONAL EQUATIONS IN THE SENSE OF CAPUTO HADAMARD. (2024). Universal Journal of Mathematics and Mathematical Sciences, 19(2), 103-117. https://doi.org/10.17654/2277141723019

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