This article is cited in 1 paper

Oscillation criteria for fractional impulsive hybrid partial differential equations

V. Sadhasivam^a, M. Deepa<sup>b

a</sup> Thiruvalluvar Government Arts College (Affli. to Periyar University, Salem), Rasipuram - 637 401, Namakkal Dt., Tamil Nadu, India
^b Department of Mathematics, Pavai Arts and Science College for Women, Anaipalayam, Rasipuram – 637401, Namakkal Dt., Tamil Nadu, India

Abstract: In this paper, we study the oscillatory behavior of the solutions of fractional-order nonlinear impulsive hybrid partial differential equations with the mixed boundary condition. By using the integral averaging method and the Riccati technique, we have obtained the oscillation criteria of all the solutions of the given system. An example is given to illustrate our main results.

Keywords: Oscillation, Fractional partial differential equation, Hybrid differential equation, impulse.

UDC: 517.28, 517.958, 517.23

MSC: 34K34, 35B05, 35R11, 35R12.

Received: 14.01.2019
Revised: 22.01.2019
Accepted: 10.06.2019

Language: English

DOI: 10.15393/j3.art.2019.5910

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