Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions

Bouteraa Noureddine; Slimane Benaicha; Habib Djourdem

doi:10.32323/ujma.396363

EN

Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions

Abstract

In this paper, we study the boundary value problem of a class of fractional differential equations involving the Riemann-Liouville fractional derivative with nonlocal integral boundary conditions. To establish the existence results for the given problems, we use the properties of the Green’s function and the monotone iteration technique, one shows the existence of positive solutions and constructs two successively iterative sequences to approximate the solutions. The results are illustrated with an example.

Keywords

Positive Solution,Iterative sequence,Green’s function

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Bouteraa Noureddine ^*
Algeria

Slimane Benaicha This is me
Algeria

Habib Djourdem
Algeria

Publication Date

March 11, 2018

Submission Date

February 18, 2018

Acceptance Date

March 6, 2018

Published in Issue

Year 2018 Volume: 1 Number: 1

DOI

https://doi.org/10.32323/ujma.396363

IZ

https://izlik.org/JA28UZ45JY

APA

Noureddine, B., Benaicha, S., & Djourdem, H. (2018). Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions. Universal Journal of Mathematics and Applications, 1(1), 39-45. https://doi.org/10.32323/ujma.396363

AMA

1.Noureddine B, Benaicha S, Djourdem H. Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions. Univ. J. Math. Appl. 2018;1(1):39-45. doi:10.32323/ujma.396363

Chicago

Noureddine, Bouteraa, Slimane Benaicha, and Habib Djourdem. 2018. “Positive Solutions for Nonlinear Fractional Differential Equation With Nonlocal Boundary Conditions”. Universal Journal of Mathematics and Applications 1 (1): 39-45. https://doi.org/10.32323/ujma.396363.

EndNote

Noureddine B, Benaicha S, Djourdem H (March 1, 2018) Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions. Universal Journal of Mathematics and Applications 1 1 39–45.

IEEE

[1]B. Noureddine, S. Benaicha, and H. Djourdem, “Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions”, Univ. J. Math. Appl., vol. 1, no. 1, pp. 39–45, Mar. 2018, doi: 10.32323/ujma.396363.

ISNAD

Noureddine, Bouteraa - Benaicha, Slimane - Djourdem, Habib. “Positive Solutions for Nonlinear Fractional Differential Equation With Nonlocal Boundary Conditions”. Universal Journal of Mathematics and Applications 1/1 (March 1, 2018): 39-45. https://doi.org/10.32323/ujma.396363.

JAMA

1.Noureddine B, Benaicha S, Djourdem H. Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions. Univ. J. Math. Appl. 2018;1:39–45.

MLA

Noureddine, Bouteraa, et al. “Positive Solutions for Nonlinear Fractional Differential Equation With Nonlocal Boundary Conditions”. Universal Journal of Mathematics and Applications, vol. 1, no. 1, Mar. 2018, pp. 39-45, doi:10.32323/ujma.396363.

Vancouver

1.Bouteraa Noureddine, Slimane Benaicha, Habib Djourdem. Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions. Univ. J. Math. Appl. 2018 Mar. 1;1(1):39-45. doi:10.32323/ujma.396363