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Review

A Survey on the Oscillation of Solutions for Fractional Difference Equations

1
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia
2
Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Turkey
3
Department of Mathematics, Texas A&M University-Kingvsille, Kingsville, TX 7836, USA
4
Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Giza 12221, Egypt
5
Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad 500078, Telangana, India
6
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635 601, Tamil Nadu, India
7
Department of Mathematics, Yunnan University, Kunming 650091, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Christopher Goodrich
Mathematics 2022, 10(6), 894; https://doi.org/10.3390/math10060894
Received: 14 January 2022 / Revised: 28 February 2022 / Accepted: 7 March 2022 / Published: 11 March 2022
In this paper, we present a systematic study concerning the developments of the oscillation results for the fractional difference equations. Essential preliminaries on discrete fractional calculus are stated prior to giving the main results. Oscillation results are presented in a subsequent order and for different types of equations. The investigation was carried out within the delta and nabla operators. View Full-Text
Keywords: fractional order; forward (delta) difference equation; backward (nabla) difference equation; oscillation of solutions fractional order; forward (delta) difference equation; backward (nabla) difference equation; oscillation of solutions
MDPI and ACS Style

Alzabut, J.; Agarwal, R.P.; Grace, S.R.; Jonnalagadda, J.M.; Selvam, A.G.M.; Wang, C. A Survey on the Oscillation of Solutions for Fractional Difference Equations. Mathematics 2022, 10, 894. https://doi.org/10.3390/math10060894

AMA Style

Alzabut J, Agarwal RP, Grace SR, Jonnalagadda JM, Selvam AGM, Wang C. A Survey on the Oscillation of Solutions for Fractional Difference Equations. Mathematics. 2022; 10(6):894. https://doi.org/10.3390/math10060894

Chicago/Turabian Style

Alzabut, Jehad, Ravi P. Agarwal, Said R. Grace, Jagan M. Jonnalagadda, A. George Maria Selvam, and Chao Wang. 2022. "A Survey on the Oscillation of Solutions for Fractional Difference Equations" Mathematics 10, no. 6: 894. https://doi.org/10.3390/math10060894

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