Solvability of a two-point fractional boundary value problem

Volume 5, Issue 1, pp 64--73 http://dx.doi.org/10.22436/jnsa.005.01.08

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Authors

Assia Guezane-Lakoud - Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P. O. Box 12, 23000 Annaba, Algeria. Rabah Khaldi - Laboratory LASEA. Faculty of Sciences, Badji Mokhtar-Annaba University, P. O. Box 12, 23000 Annaba, Algeria.

Abstract

The aim of this paper is the study of the existence and uniqueness of solutions for a two-point fractional boundary value problem, by means of Banach contraction principle and Leray Schauder nonlinear alternative. Some examples are given.

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Keywords

• Fractional Caputo derivative
• Banach Contraction principle
• Leray Schauder nonlinear alternative.

MSC

•  34B10
•  26A33
•  34B15

References

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