2015
DOI: 10.1016/j.aml.2014.11.018
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Oscillation of certain nonlinear fractional partial differential equation with damping term

Abstract: In this paper, we investigate the oscillatory behavior of solutions of the nonlinear fractional partial differential equation with damping and forced term subject to Robin boundary condition by using differential inequality method as well as integral average method. The main results are illustrated by examples.

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Cited by 36 publications
(19 citation statements)
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“…For example, see [5][6][7][8][9][10][11] and the references therein. However, to the best of author's knowledge very little is known regarding the oscillatory behavior of fractional partial differential equations up to now, we refer to [12][13][14].…”
Section: Introductionmentioning
confidence: 99%
“…For example, see [5][6][7][8][9][10][11] and the references therein. However, to the best of author's knowledge very little is known regarding the oscillatory behavior of fractional partial differential equations up to now, we refer to [12][13][14].…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, there has been a significant development in fractional order ordinary and partial differential equations, for example Kilbas et al [6]. In particular, the oscillation theory of fractional differential equations attracted by many authors [1,2,5,7,8,10,[15][16][17].…”
Section: Introductionmentioning
confidence: 99%
“…At the same time, a few papers [5,8,10,11] studied the oscillation of fractional partial differential equations which involve the Riemann-Liouville fractional partial derivative. In [11], Prakash et al considered the oscillation of the fractional partial differential equation…”
Section: Introductionmentioning
confidence: 99%
“…Prakash et al [10] established the oscillation of a nonlinear fractional partial differential equation with damping and forced term of the form…”
Section: Introductionmentioning
confidence: 99%