A certain class of fractional difference equations with damping: Oscillatory properties

• Autorzy: Arundhathi Sivakumar , Alzabut Jehad , Muthulakshmi Velu , Adıgüzel Hakan

Identyfikatory

DOI

10.1515/dema-2022-0236

• Języki publikacji: EN

Abstrakty

EN

In this study, we have investigated the oscillatory properties of the following fractional difference equation: [formula] where […] denotes the Liouville fractional difference operator of order α ∈ (0,1), p , and q are nonnegative sequences, and г and G are real valued continuous functions, all of which satisfy certain assumptions. Using the generalized Riccati transformation technique, mathematical inequalities, and comparison results, we have found a number of new oscillation results. A few examples have been built up in this context to illustrate the main findings. The conclusion of this study is regarded as an expansion of continuous time to discrete time in fractional contexts.

Słowa kluczowe

EN

oscillation; fractional difference equation; damping; Riccati transformation

PL

oscylacja; równanie różniczkowe ułamkowe; tłumienie; równanie Riccatiego

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220236
• Opis fizyczny: Bibliogr. 36 poz.

Twórcy

autor

Arundhathi Sivakumar

• Department of Mathematics, Periyar University, Salem-636 011, Tamilnadu, India

autor

Alzabut Jehad

• Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia
• Department of Industrial Engineering, OSTİM Technical University, Ankara 06374, Turkey

autor

Muthulakshmi Velu

• Department of Mathematics, Periyar University, Salem-636 011, Tamilnadu, India

autor

Adıgüzel Hakan

• Department of Engineering Fundamental Sciences, Sakarya University of Applied Sciences, 54580 Sakarya, Turkey

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).