On the oscillation of kernel function dependent fractional integrodifferential equations

Raziye Mert; Selami Bayeğ; Thabet Abdeljawad; Bahaaeldin Abdalla

doi:10.1216/rmj.2022.52.1451

Abstract

We deal with the oscillation of a class of generalized fractional integrodifferential equations containing a forcing term. We establish sufficient conditions to obtain some oscillation criteria for the Riemann–Liouville and Caputo cases. Moreover, we provide several examples to support our results.

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Raziye Mert. Selami Bayeğ. Thabet Abdeljawad. Bahaaeldin Abdalla. "On the oscillation of kernel function dependent fractional integrodifferential equations." Rocky Mountain J. Math. 52 (4) 1451 - 1460, August 2022. https://doi.org/10.1216/rmj.2022.52.1451

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Received: 26 May 2021; Revised: 30 October 2021; Accepted: 7 November 2021; Published: August 2022

First available in Project Euclid: 26 September 2022

MathSciNet: MR4489170

zbMATH: 1500.45005

Digital Object Identifier: 10.1216/rmj.2022.52.1451

Subjects:

Primary: 26A33 , 34A08 , 34C10

Keywords: Caputo generalized fractional derivative , fractional integrodifferential equations , ‎oscillation‎ , Riemann–Liouville generalized fractional derivative

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