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

Neda Khodabakhshi; S. Mansour Vaezpour

Research Article

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

Year 2016, Volume: 45 Issue: 5, 1411 - 1420, 01.10.2016

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

Monotone iterative method, Riemann-Liouville fractional derivative, Upper and lower solutions

References

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Year 2016, Volume: 45 Issue: 5, 1411 - 1420, 01.10.2016

Neda Khodabakhshi S. Mansour Vaezpour

Abstract

References

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There are 2 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Neda Khodabakhshi This is me S. Mansour Vaezpour
Publication Date	October 1, 2016
Published in Issue	Year 2016 Volume: 45 Issue: 5

Cite

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.
AMA	Khodabakhshi N, Vaezpour SM. The existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments. Hacettepe Journal of Mathematics and Statistics. October 2016;45(5):1411-1420.
Chicago	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 45, no. 5 (October 2016): 1411-20.
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	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, 2016.
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 2016), 1411-1420.
JAMA	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, 2016, pp. 1411-20.
Vancouver	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):1411-20.