Oscillatory solutions of fractional integro-differential equations II

Joel E. Restrepo; Durvudkhan Suragan

doi:10.1002/mma.7258

Oscillatory solutions of fractional integro-differential equations II

Joel E. Restrepo, Durvudkhan Suragan

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

7 Citations (Scopus)

Abstract

We establish necessary conditions to obtain oscillatory solutions for some classes of the Prahbakar-type and Atangana–Baleanu fractional integro-differential operators. Illustrative examples are also given. The obtained results extend the previous developments in the field from our recent paper.

Original language	English
Pages (from-to)	7262-7274
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	8
DOIs	https://doi.org/10.1002/mma.7258
Publication status	Accepted/In press - 2021

Keywords

Atangana–Baleanu operator
fractional differential equation
fractional integro-differential operator
oscillatory solution
Prahbakar operator

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.7258

Cite this

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title = "Oscillatory solutions of fractional integro-differential equations II",

abstract = "We establish necessary conditions to obtain oscillatory solutions for some classes of the Prahbakar-type and Atangana–Baleanu fractional integro-differential operators. Illustrative examples are also given. The obtained results extend the previous developments in the field from our recent paper.",

keywords = "Atangana–Baleanu operator, fractional differential equation, fractional integro-differential operator, oscillatory solution, Prahbakar operator",

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

note = "Funding Information: This research was funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09058317). The authors were also supported by the Nazarbayev University Program 091019CRP2120. Joel E. Restrepo thanks Colciencias and Universidad de Antioquia (Convocatoria 848—Programa de estancias postdoctorales 2019) for their support. Publisher Copyright: {\textcopyright} 2021 John Wiley & Sons, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2021",

doi = "10.1002/mma.7258",

language = "English",

volume = "44",

pages = "7262--7274",

journal = "Mathematical Methods in the Applied Sciences",

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T1 - Oscillatory solutions of fractional integro-differential equations II

AU - Restrepo, Joel E.

AU - Suragan, Durvudkhan

N1 - Funding Information: This research was funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09058317). The authors were also supported by the Nazarbayev University Program 091019CRP2120. Joel E. Restrepo thanks Colciencias and Universidad de Antioquia (Convocatoria 848—Programa de estancias postdoctorales 2019) for their support. Publisher Copyright: © 2021 John Wiley & Sons, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021

Y1 - 2021

N2 - We establish necessary conditions to obtain oscillatory solutions for some classes of the Prahbakar-type and Atangana–Baleanu fractional integro-differential operators. Illustrative examples are also given. The obtained results extend the previous developments in the field from our recent paper.

AB - We establish necessary conditions to obtain oscillatory solutions for some classes of the Prahbakar-type and Atangana–Baleanu fractional integro-differential operators. Illustrative examples are also given. The obtained results extend the previous developments in the field from our recent paper.

KW - Atangana–Baleanu operator

KW - fractional differential equation

KW - fractional integro-differential operator

KW - oscillatory solution

KW - Prahbakar operator

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

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ER -

Oscillatory solutions of fractional integro-differential equations II

Abstract

Keywords

ASJC Scopus subject areas

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