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In this article, we will establish sufficient conditions for the interval oscillation of fractional partial differential equations of the form
It is based on the information only on a sequence of subintervals of the time space ？rather than whole half line. We consider f to be monotonous and non monotonous. By using a generalized Riccati technique, integral averaging method, Philos type kernals and new interval oscillation criteria are established. We also present some examples to illustrate our main results.
In this article, we consider the three-dimensional fractional differential system of the form
together with the Neumann boundary conditions,？
where are the standard Caputo fractional derivatives, . A new result on the existence of solutions for a class of fractional differential system is obtained by using Mawhin’s coincidence degree theory. Suitable examples are given to illustrate the main results.