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Oscillatory solutions of fractional integro-differential equations
Authors:Joel E. Restrepo  Durvudkhan Suragan
Affiliation:1. Department of 2. Mathematics, Nazarbayev University, Kazakhstan
Abstract:We give necessary conditions to get oscillatory solutions of a class of fractional order neutral differential equations with continuously distributed delay by means of the fractional derivative with respect to a given function. In particular, oscillatory solutions of the considered fractional equations with Caputo and Hadamard type of fractional derivatives are established. Some explicit examples are given to illustrate the main results.
Keywords:fractional integro-differential equation  fractional integro-differentiation operators with respect to functions  oscillatory solution
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