Abstract
In this paper, we derive new interval oscillation criteria for impulsive conformable fractional differential equations having fixed moments of impulse actions. The results are extended to a more general class of nonlinear impulsive conformable fractional differential equations. Examples are also given to illustrate the relevance of the result.
Highlights
In recent years fractional di¤erential equations are recognized as an excellent source of knowledge in modelling dynamical processes in self similar and porous structures, electrical networks, probability and statistics, visco elasticity, electro chemistry of corrosion, electro dynamics of complex medium, polymer rheology, industrial robotics, economics, biotechnology etc
In 2014 Khalil et al [9] introduced a new fractional derivative called the conformable derivative which is closely similar to classical derivative
As far as author knowledge, it seems that there has been no paper dealing with interval oscillation criteria for impulsive conformable fractional di¤erential equations
Summary
In recent years fractional di¤erential equations are recognized as an excellent source of knowledge in modelling dynamical processes in self similar and porous structures, electrical networks, probability and statistics, visco elasticity, electro chemistry of corrosion, electro dynamics of complex medium, polymer rheology, industrial robotics, economics, biotechnology etc. The oscillation of fractional di¤erential equations as a new research ...eld has received signi...cant attention and some interesting results have already been obtained. Oscillation, impulse, conformable fractional di¤erential equations, forcing term. In [13], Q.L. Li and W.S. Cheng considered the following interval oscillation criteria for second order forced delay di¤erential equation under impulses e¤ects of the form (p(t)x0(t))0 + q(t)x(t. Interval oscillation of impulsive di¤erential equations was arousing the interest of many researchers, see [7, 8, 11, 15, 16, 19, 20, 21, 23, 25] and the references cited therein. As far as author knowledge, it seems that there has been no paper dealing with interval oscillation criteria for impulsive conformable fractional di¤erential equations.
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