Uniqueness and Convergence of Solution of Multi-Term Fractional Order Fredholm Integro-Differential Equation
DOI:
https://doi.org/10.62050/fjst2024.v8n2.318Keywords:
Fractional order, Uniqueness of solution, Convergence, Fredholm integro- differential equationAbstract
This paper focuses on multi-term fractional order Fredholm integro-differential equation which was transformed to integral equation by using Riemann-Liouville fractional integral. The uniqueness of solution of the multi-term fractional order Fredholm integro-differential equation was proved using Banach contraction principle alongside the convergence of solution of the multi-term fractional order Fredholm integro-differential equation, where Cauchy convergence creteria was used. Examples were given to prove the solvability of the multi-term fractional order Fredholm integro-differential equation.
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