Advances and Applications in Discrete Mathematics

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SOLVING NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS OF SECOND KIND BY THE ADOMIAN METHOD

Authors

  • Ouedraogo Seny
  • Justin Mouyedo Loufouilou
  • Bonazebi Yindoula Joseph
  • Youssouf Pare

Keywords:

gamma function, beta function, fractional integral equation, Adomian method.

DOI:

https://doi.org/10.17654/0974165822008

Abstract

In this paper, we show the convergence of the Adomian algorithm applied to the nonlinear fractional Volterra equation of second kind
$$
(E): \varphi(x)=\frac{1}{\Gamma(\alpha)} \int_0^x(x-\tau)^{\alpha-1} K(x, \tau) N(\varphi(\tau)) d \tau
$$
where $0<\alpha \leq 1$. We provide some examples for illustration.

Received: October 20, 2021
Accepted: November 23, 2021

References

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Published

2021-12-20

Issue

Vol. 29 No. 1 (2022)

Section

Articles

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How to Cite

SOLVING NONLINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATIONS OF SECOND KIND BY THE ADOMIAN METHOD. (2021). Advances and Applications in Discrete Mathematics, 29(1), 97-110. https://doi.org/10.17654/0974165822008