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Discontinuity, Nonlinearity, and Complexity 9(1) (2020) 47--61 | DOI:10.5890/DNC.2020.03.004

Velu Muthulakshmi, Subramani Pavithra

Department of Mathematics, Periyar University, Salem, Tamilnadu, 636011, India

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Abstract

In this paper, we establish some sufficient conditions for the existence of nonoscillatory solution for a class of mixed neutral fractional differential equations with Liouville fractional derivative of order α ≥ 0 on the halfaxis. Our results generalize some of the existing results in the literature. Some examples are given to illustrate our results.

Acknowledgments

This work is partially supported by the University Grants Commission-Special Assistance Programme (UGCSAP), New Delhi, India, through the letter No.F.510/7/DRS- 1/2016(SAP-1), dated Sept. 14, 2016.

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