NONLOCAL BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION ON THE HALF-LINE

Abdellatif Ghendir Aoun

DOI Number
https://doi.org/10.22190/FUMI210510002G
First page
001
Last page
020

Abstract


This paper aims to investigate a class for nonlocal fractional boundary value problem on an infinite interval due to its importance in provide a powerful tool for mathematical modeling of complex phenomena in science. New existence results are acquired for the given problem by using the Krasnosel’skii’s fixed point theorem. Moreover, sufficient conditions are obtained as well as a modified compactness criterion that guarantees the existence of at least one solution. In addition, an illustrative example is given in the final part of the paper.


Keywords

Boundary value problem, infinite interval, fractional differential equation, nonlocal condition, fixed point theorem.

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References


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DOI: https://doi.org/10.22190/FUMI210510002G

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