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
DOI:
https://doi.org/10.14738/aivp.96.11412Keywords:
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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Copyright (c) 2021 Jonathan Tsetimi, 2Ebimene James Mamadu
This work is licensed under a Creative Commons Attribution 4.0 International License.
