On the nonoscillatory behavior of solutions of three classes of fractional difference equations

• Autorzy: Grace Said Rezk , Alzabut Jehad , Punitha Sakthivel , Muthulakshmi Velu , Adiguzel Hakan

Identyfikatory

DOI

10.7494/OpMath.2020.40.5.549

• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the nonoscillatory behavior of three classes of fractional difference equations. The investigations are presented in three different folds. Unlike most existing nonoscillation results which have been established by employing Riccati transfor mation technique, we employ herein an easily verifiable approach based on the fractional Taylor’s difference formula, some features of discrete fractional calculus and mathematical inequalities. The theoretical findings are demonstrated by examples. We end the paper by a concluding remark.

Słowa kluczowe

EN

Caputo difference operator; nonoscillation criteria; fractional difference equation mathematical inequalities

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 5
• Strony: 549--568
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Grace Said Rezk

• Faculty of Engineering, Cairo University Department of Engineering Mathematics Giza 12221, Egypt

autor

Alzabut Jehad

• Prince Sultan University Department of Mathematics and General Sciences 11586 Riyadh, Saudi Arabia

autor

Punitha Sakthivel

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

autor

Muthulakshmi Velu

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

autor

Adiguzel Hakan

• Sakarya University of Applied Sciences Vocational School of Arifiye Arifiye 54580, Sakarya, Turkey

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).