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On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations

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Abstract

This paper deals with the asymptotic behavior of nonoscillatory solutions of fractional differential equations of the form CDaαy = e(t) + f(t,x),  t ≥ a where 0 < α < 1, a ≥ 0, CDaαy denotes the Caputo fractional derivative of order α of y. The following particular cases are considered: y = (r(t)|x′|δ-1x′)′,  (δ ≥ 1),   y = x′,  y = x. We offer a method that can be applied to investigate more general class of fractional differential equations as well.

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Authors and Affiliations

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

    Said R. Grace

  2. Department of Mathematics, Faculty of Engineering and Technology, American University of the Middle East, Eqaila, Kuwait

    Agacik Zafer

Authors
  1. Said R. Grace
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  2. Agacik Zafer
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Correspondence to Agacik Zafer.

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Grace, S.R., Zafer, A. On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations. Eur. Phys. J. Spec. Top. 226, 3657–3665 (2017). https://doi.org/10.1140/epjst/e2018-00043-1

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  • DOI: https://doi.org/10.1140/epjst/e2018-00043-1

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