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Oscillatory solutions of fractional integro‐differential equations
Author(s) -
Restrepo Joel E.,
Suragan Durvudkhan
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6602
Subject(s) - mathematics , fractional calculus , hadamard transform , type (biology) , differential equation , order (exchange) , mathematical analysis , function (biology) , class (philosophy) , ecology , finance , evolutionary biology , artificial intelligence , computer science , economics , biology
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.