Existence and uniqueness of Solution for Boundary Value Problem of Fractional Order

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Hozan Hilmi
Rebaz Fadhil Mahmood
Siyaman Sidiq Hama

Abstract

In this study, we investigate a class of fractional ordering and fractional derivative-based boundary value problems.   and . There are four boundary value requirements in this equation. The Banach fixed point theorem (Contraction mapping theorem) and the Schauder fixed point theorem are both used to arrive at the existence and uniqueness solution. Examples based on the fractional integral method and integral operator are used to illustrate our main points.

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How to Cite
Hozan Hilmi, Rebaz Fadhil Mahmood, & Siyaman Sidiq Hama. (2024). Existence and uniqueness of Solution for Boundary Value Problem of Fractional Order. Tikrit Journal of Pure Science, 29(2), 79–85. https://doi.org/10.25130/tjps.v29i2.1562
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References

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