On the Asymptotic Behavior of Solutions for a Fractional Differential Equation with a Singular Kernel

Ahmad M. Ahmad

doi:10.1109/CSCC49995.2020.00031

On the Asymptotic Behavior of Solutions for a Fractional Differential Equation with a Singular Kernel

Ahmad M. Ahmad^*

^*Corresponding author for this work

Preparatory Year Program

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

In this article we are concerned with the asymptotic behavior of solutions for a class of nonlinear fractional integrodifferential equations with a singular kernel. In particular, we determine sufficient conditions under which the solutions are asymptotic to power functions at infinity. Our findings are supported by examples.

Original language	English
Title of host publication	Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	130-134
Number of pages	5
ISBN (Electronic)	9781728165035
DOIs	https://doi.org/10.1109/CSCC49995.2020.00031
State	Published - Jul 2020

Publication series

Name	Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020

Bibliographical note

Publisher Copyright:
© 2020 IEEE.

Keywords

Asymptotic behavior
Caputo fractional derivative
Riemann-Liouville fractional integral
fractional differential equation
integral inequalities

ASJC Scopus subject areas

Computer Science Applications
Computer Vision and Pattern Recognition
Information Systems
Electrical and Electronic Engineering
Computational Mathematics
Artificial Intelligence
Computer Networks and Communications

Access to Document

10.1109/CSCC49995.2020.00031

Cite this

Ahmad, A. M. (2020). On the Asymptotic Behavior of Solutions for a Fractional Differential Equation with a Singular Kernel. In Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 (pp. 130-134). Article 9402375 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CSCC49995.2020.00031

Ahmad, Ahmad M. / On the Asymptotic Behavior of Solutions for a Fractional Differential Equation with a Singular Kernel. Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 130-134 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).

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title = "On the Asymptotic Behavior of Solutions for a Fractional Differential Equation with a Singular Kernel",

abstract = "In this article we are concerned with the asymptotic behavior of solutions for a class of nonlinear fractional integrodifferential equations with a singular kernel. In particular, we determine sufficient conditions under which the solutions are asymptotic to power functions at infinity. Our findings are supported by examples.",

keywords = "Asymptotic behavior, Caputo fractional derivative, Riemann-Liouville fractional integral, fractional differential equation, integral inequalities",

author = "Ahmad, \{Ahmad M.\}",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.",

year = "2020",

month = jul,

doi = "10.1109/CSCC49995.2020.00031",

language = "English",

series = "Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020",

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address = "United States",

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Ahmad, AM 2020, On the Asymptotic Behavior of Solutions for a Fractional Differential Equation with a Singular Kernel. in Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020., 9402375, Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020, Institute of Electrical and Electronics Engineers Inc., pp. 130-134. https://doi.org/10.1109/CSCC49995.2020.00031

On the Asymptotic Behavior of Solutions for a Fractional Differential Equation with a Singular Kernel. / Ahmad, Ahmad M.
Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 130-134 9402375 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Ahmad, Ahmad M.

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N2 - In this article we are concerned with the asymptotic behavior of solutions for a class of nonlinear fractional integrodifferential equations with a singular kernel. In particular, we determine sufficient conditions under which the solutions are asymptotic to power functions at infinity. Our findings are supported by examples.

AB - In this article we are concerned with the asymptotic behavior of solutions for a class of nonlinear fractional integrodifferential equations with a singular kernel. In particular, we determine sufficient conditions under which the solutions are asymptotic to power functions at infinity. Our findings are supported by examples.

KW - Asymptotic behavior

KW - Caputo fractional derivative

KW - Riemann-Liouville fractional integral

KW - fractional differential equation

KW - integral inequalities

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U2 - 10.1109/CSCC49995.2020.00031

DO - 10.1109/CSCC49995.2020.00031

M3 - Conference contribution

AN - SCOPUS:85105310333

T3 - Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020

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EP - 134

BT - Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Ahmad AM. On the Asymptotic Behavior of Solutions for a Fractional Differential Equation with a Singular Kernel. In Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 130-134. 9402375. (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020). doi: 10.1109/CSCC49995.2020.00031

On the Asymptotic Behavior of Solutions for a Fractional Differential Equation with a Singular Kernel

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this