Uniqueness and Convergence of Solution of Multi-Term Fractional Order Fredholm Integro-Differential Equation

Authors

Keywords:

Fractional order , Uniqueness of solution , Convergence , Fredholm integro- differential equation

Abstract

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.

Dimensions

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Published

24-08-2024

How to Cite

Uniqueness and Convergence of Solution of Multi-Term Fractional Order Fredholm Integro-Differential Equation. (2024). FULafia Journal of Science and Technology , 8(2), 1-8. https://doi.org/10.62050/fjst2024.v8n2.318

Issue

Vol. 8 No. 2 (September, 2024): Fulafia Journal of Science and Technology (FJST)

Section

Physical Sciences
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How to Cite

Uniqueness and Convergence of Solution of Multi-Term Fractional Order Fredholm Integro-Differential Equation. (2024). FULafia Journal of Science and Technology , 8(2), 1-8. https://doi.org/10.62050/fjst2024.v8n2.318

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