Existence Results for an Im/I-Point Mixed Fractional-Order Problem at Resonance on the Half-Line

This work considers the existence of solutions for a mixed fractional-order boundary value problem at resonance on the half-line. The Mawhin’s coincidence degree theory will be used to prove existence results when the dimension of the kernel of the linear fractional differential operator is equal to...

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Bibliographic Details
Published in:Axioms 2022-11, Vol.11 (11)
Main Authors: Imaga, Ogbu F, Iyase, Samuel A, Ogunniyi, Peter O
Format: Article
Language:English
Subjects:
Boundary value problems
Fixed point theory
Mathematical research
Online Access:Get full text
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Summary:This work considers the existence of solutions for a mixed fractional-order boundary value problem at resonance on the half-line. The Mawhin’s coincidence degree theory will be used to prove existence results when the dimension of the kernel of the linear fractional differential operator is equal to two. An example is given to demonstrate the main result obtained.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms11110630