On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations with positive and negative terms

• Autorzy: Graef John R. , Grace Said R. , Tune Ercan

Identyfikatory

DOI

10.7494/OpMath.2020.40.2.227

• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with the asymptotic behavior of the nonoscillatory solutions of the forced fractional differential equation with positive and negative terms of the form [formula] where t ≥ c ≥ α ∈(0, 1), η ≥ 1 is the ratio of positive odd integers, and [formula] denotes the Caputo fractional derivative of y of order α. The cases [formula] are considered. The approach taken here can be applied to other related fractional differential equations. Examples are provided to illustrate the relevance of the results obtained.

Słowa kluczowe

EN

integro-differential equations fractional differential equations nonoscillatory solutions boundedness; Caputo derivative

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 2
• Strony: 227--239
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Graef John R.

• University of Tennessee at Chattanooga Department of Mathematics Chattanooga, TN 37403, USA

autor

Grace Said R.

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

autor

Tune Ercan

• Gaziosmanpasa University Department of Mathematics Faculty of Arts and Sciences 60240, Tokat, 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).