Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions

Authors

  • Ahcene Boukehila University of Laghouat.

DOI:

https://doi.org/10.22199/issn.0717-6279-4271

Keywords:

Fractional differential equation, Green's function, Banach contraction principle, Schauder fixed point theorem

Abstract

In this work we investigate the existence and uniqueness of solutions of boundary value problems for fractional differential equations involving the Caputo fractional derivative with integral conditions and the nonlinear term depends on the fractional derivative of an unknown function. Our existence results are based on Banach contraction principle and Schauder fixed point theorem. Two examples are provided to illustrate our results.

Author Biography

Ahcene Boukehila, University of Laghouat.

Laboratory of Pure and Applied Mathematics.

References

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Published

2021-09-29

How to Cite

[1]
A. Boukehila, “Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions”, Proyecciones (Antofagasta, On line), vol. 40, no. 5, pp. 1117-1135, Sep. 2021.

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Section

Artículos