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

Authors

  • Hozan Hilmi
  • Rebaz Fadhil Mahmood
  • Siyaman Sidiq Hama

DOI:

https://doi.org/10.25130/tjps.v29i2.1562

Keywords:

Fractional derivative; Fractional Integral; Fractional Boundary value problem, Existence and Uniqueness.

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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Published

2024-04-25

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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