On the Oscillation of Non-Linear Fractional Difference Equations with Damping

Jehad Alzabut, Velu Muthulakshmi, Abdullah Özbekler and Hakan Adıgüzel
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Jehad Alzabut: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Velu Muthulakshmi: Department of Mathematics, Periyar University, Salem 636 011, India
Abdullah Özbekler: Department of Mathematics, Atilim University, Ankara 06830, Turkey
Hakan Adıgüzel: Department of Architecture and Urban Planning, Vocational School of Arifiye, Sakarya University of Applied Sciences, Arifiye 54580, Turkey

Mathematics, 2019, vol. 7, issue 8, 1-14

Abstract: In studying the Riccati transformation technique, some mathematical inequalities and comparison results, we establish new oscillation criteria for a non-linear fractional difference equation with damping term. Preliminary details including notations, definitions and essential lemmas on discrete fractional calculus are furnished before proceeding to the main results. The consistency of the proposed results is demonstrated by presenting some numerical examples. We end the paper with a concluding remark.

Keywords: oscillation of solutions; non-linear fractional difference equation; damping term (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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