PHILOS-TYPE OSCILLATION CRITERIA FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSIVE CONDITIONS

Abdur Raheem; Asma Afreen; Areefa Khatoon

Abdur Raheem Department of Mathematics, Aligarh Muslim University, Aligarh - 202002, Uttar Pradesh, INDIA

Asma Afreen Department of Mathematics, Aligarh Muslim University, Aligarh - 202002, Uttar Pradesh, INDIA

Areefa Khatoon Department of Mathematics, Aligarh Muslim University, Aligarh - 202002, Uttar Pradesh, INDIA

Volume 18, Issue 1 Pages 159-178 April 30, 2022 319 downloads

Article overview

Abstract

The present article is concerned with the oscillatory nature of the fractional differential equation of order $\alpha \in (2,3)$ with impulsive effects. By employing a generalized Riccati transformation, we derive several oscillation criteria of Philos type, which are either new or improve several recent results in the literature. Also, we show the stability of the considered problem. To obtain the results, we transform the fractional differential equation into a second-order ordinary differential equation. In addition, we provide examples to show the effectiveness of the results.

Keywords and Phrases

Fractional differential equationsImpulsive conditionsOscillationDifferential inequality method.

AMS Subject Classification

26A33, 34A08, 34D20, 34K11, 35R12.

Reference information

How to Cite

Abdur Raheem, Asma Afreen, Areefa Khatoon (2022). PHILOS-TYPE OSCILLATION CRITERIA FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSIVE CONDITIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 159-178.

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