Bernoulli's polynomials Approach for Special Type of Integro Differential Equation

Authors

  • Akram Abdalwahid Ahmed Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, IRAQ.
  • Abdul Khaliq Al-Juboury Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, IRAQ.

Keywords:

Approximate, Fractional, Integro, Differential, Equation

Abstract

In this paper, Bernoulli's polynomials approach is employed for solving approximately linear Fractional Fredholm integro-differential equations via Petrove-Glerkain method. The Fractional derivatives are described in the sense Caputo. The approximate solution is compared with the exact solution to confirm the validity and efficiency of the method to a same as before. Some illustrative examples are presented.

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References

Samah Mohammed A.,"Some Approximate Solutions of Fractional Integro-Differential Equations", A Thesis Submitted to the College of Science of Al-Nahrain University, (2010).

CrossRef

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CrossRef

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Li Huang, Xian-Fang Li, Yulin Zhao, and, Xiang-Yang Duan,'' Approximate solution of fractional integro-differential equations by Taylor expansion method", Computers & Mathematics with Application, 62(3), (2011), 1127-1134. https://doi.org/10.1016/j.camwa.2011.03.037

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Key Dates

Published

10-03-2022

Issue

Section

Original Article

How to Cite

[1]
A. A. Ahmed and A. K. Al-Juboury, “Bernoulli’s polynomials Approach for Special Type of Integro Differential Equation”, Al-Mustansiriyah Journal of Science, vol. 33, no. 1, pp. 57–61, Mar. 2022, Accessed: Apr. 23, 2024. [Online]. Available: https://mjs.uomustansiriyah.edu.iq/index.php/MJS/article/view/1078

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