A Survey on the Oscillation of Solutions for Fractional Difference Equations

Jehad Alzabut, Ravi P. Agarwal, Said R. Grace, Jagan M. Jonnalagadda, A. George Maria Selvam and Chao Wang
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Jehad Alzabut: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia
Ravi P. Agarwal: Department of Mathematics, Texas A&M University-Kingvsille, Kingsville, TX 7836, USA
Said R. Grace: Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Giza 12221, Egypt
Jagan M. Jonnalagadda: Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad 500078, Telangana, India
A. George Maria Selvam: Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635 601, Tamil Nadu, India
Chao Wang: Department of Mathematics, Yunnan University, Kunming 650091, China

Mathematics, 2022, vol. 10, issue 6, 1-28

Abstract: 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.

Keywords: fractional order; forward (delta) difference equation; backward (nabla) difference equation; oscillation of solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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