On the Existence and Uniqueness of Solution for the Fractional Fredholm Integro-Differential Equation through the Fractional Variational Orthogonal Collocation method with Mamadu-Njoseh orthogonal basis functions

Authors

  • Jonathan Tsetimi Department of Mathematics, Delta State University, Abraka
  • 2Ebimene James Mamadu

DOI:

https://doi.org/10.14738/aivp.96.11412

Keywords:

Mamadu-Njoseh polynomials, Caputo derivative, Integro-differential equation, Basis functions, orthogonal polynomials, existence and uniqueness of solution.

Abstract

In this article, we present a detailed analysis on the existence and uniqueness of solution for the fractional Fredholm integro-differential equation (FFIDE) via the fractional variational orthogonal collocation method (FVOCM) with Mamadu-Njoseh orthogonal basis functions. Relevant theorems were formulated and proven to show that there exist a solution for the problem FFIDE through the FVOCM, and the solution is shown to be unique.

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Published

2021-12-27

How to Cite

Tsetimi, J., & Mamadu, 2Ebimene J. (2021). On the Existence and Uniqueness of Solution for the Fractional Fredholm Integro-Differential Equation through the Fractional Variational Orthogonal Collocation method with Mamadu-Njoseh orthogonal basis functions. European Journal of Applied Sciences, 9(6), 535–542. https://doi.org/10.14738/aivp.96.11412

Issue

Vol. 9 No. 6 (2021): European Journal of Applied Sciences

Section

Articles

License

Copyright (c) 2021 Jonathan Tsetimi, 2Ebimene James Mamadu

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.