Research Article

The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments

Volume: 45 Number: 5 October 1, 2016
EN

The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments

Abstract

This paper deals with the existence of extremal solutions for nonlinear fractional integro-differential equations with advanced arguments. Our analysis rely on monotone iterative method based on upper and lower solutions. Also, we give an illustrative example in order to indicate the validity of our assumptions.

Keywords

References

  1. .
  2. .

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Neda Khodabakhshi * This is me

Publication Date

October 1, 2016

Submission Date

June 10, 2015

Acceptance Date

November 11, 2015

Published in Issue

Year 2016 Volume: 45 Number: 5

APA
Khodabakhshi, N., & Vaezpour, S. M. (2016). The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments. Hacettepe Journal of Mathematics and Statistics, 45(5), 1411-1420. https://izlik.org/JA66AM39CB
AMA
1.Khodabakhshi N, Vaezpour SM. The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments. Hacettepe Journal of Mathematics and Statistics. 2016;45(5):1411-1420. https://izlik.org/JA66AM39CB
Chicago
Khodabakhshi, Neda, and S. Mansour Vaezpour. 2016. “The Existence of Extremal Solutions to Nonlinear Fractional Integro-Differential Equations With Advanced Arguments”. Hacettepe Journal of Mathematics and Statistics 45 (5): 1411-20. https://izlik.org/JA66AM39CB.
EndNote
Khodabakhshi N, Vaezpour SM (October 1, 2016) The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments. Hacettepe Journal of Mathematics and Statistics 45 5 1411–1420.
IEEE
[1]N. Khodabakhshi and S. M. Vaezpour, “The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, pp. 1411–1420, Oct. 2016, [Online]. Available: https://izlik.org/JA66AM39CB
ISNAD
Khodabakhshi, Neda - Vaezpour, S. Mansour. “The Existence of Extremal Solutions to Nonlinear Fractional Integro-Differential Equations With Advanced Arguments”. Hacettepe Journal of Mathematics and Statistics 45/5 (October 1, 2016): 1411-1420. https://izlik.org/JA66AM39CB.
JAMA
1.Khodabakhshi N, Vaezpour SM. The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments. Hacettepe Journal of Mathematics and Statistics. 2016;45:1411–1420.
MLA
Khodabakhshi, Neda, and S. Mansour Vaezpour. “The Existence of Extremal Solutions to Nonlinear Fractional Integro-Differential Equations With Advanced Arguments”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, Oct. 2016, pp. 1411-20, https://izlik.org/JA66AM39CB.
Vancouver
1.Neda Khodabakhshi, S. Mansour Vaezpour. The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Oct. 1;45(5):1411-20. Available from: https://izlik.org/JA66AM39CB