Oscillation of fractional order functional differential equations with nonlinear damping

• Autorzy: Mustafa Bayram , Hakan Adiguzel , Suleyman Ogrekci
• Języki publikacji: EN

Abstrakty

EN

In this paper, we are concerned with the oscillatory behavior of a class of fractional differential equations with functional terms. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. Based on a certain variable transformation, by using a generalized Riccati transformation, generalized Philos type kernels, and averaging techniques we establish new interval oscillation criteria. Illustrative examples are also given.

Słowa kluczowe

EN

fractional derivative; fractional differentialequation; Riemann-Liouville derivative; Riccati transformation; oscillation criteria

• Czasopismo: Open Physics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-11-14

zaakceptowano

2015-11-27

online

2015-12-31

Twórcy

autor

Mustafa Bayram

• Department of health
  Sciences, Uskudar University, Uskudar, Istanbul, Turkey

autor

Hakan Adiguzel

• Department of Mathematical Engineering,
  Yildiz Technical University Istanbul, Turkey

autor

Suleyman Ogrekci

• Department of Mathematics, Amasya University,
  Amasya, Turkey

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Identyfikatory

DOI

10.1515/phys-2015-0053