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

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 t...

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Bibliographic Details
Published inTikrit Journal of Pure Science Vol. 29; no. 2; pp. 79 - 85
Main Authors Hozan Hilmi, Rebaz Fadhil Mahmood, Siyaman Sidiq Hama
Format Journal Article
LanguageEnglish
Published Tikrit University 25.04.2024
Subjects
Existence and Uniqueness
Fractional Boundary value problem
Fractional derivative
Fractional Integral
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Summary: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.
ISSN:1813-1662
2415-1726
DOI:10.25130/tjps.v29i2.1562