Oscillatory solutions of fractional integro-differential equations

Joel E. Restrepo; Durvudkhan Suragan

doi:10.1002/mma.6602

Oscillatory solutions of fractional integro-differential equations

Joel E. Restrepo, Durvudkhan Suragan

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	9080-9089
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	43
Issue number	15
DOIs	https://doi.org/10.1002/mma.6602
Publication status	Accepted/In press - 2020

Keywords

fractional integro-differential equation
fractional integro-differentiation operators with respect to functions
oscillatory solution

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.6602

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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",

author = "Restrepo, {Joel E.} and Durvudkhan Suragan",

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AU - Suragan, Durvudkhan

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PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

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KW - fractional integro-differentiation operators with respect to functions

KW - oscillatory solution

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Oscillatory solutions of fractional integro-differential equations

Abstract

Keywords

ASJC Scopus subject areas

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