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A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability

In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative. By utilizing the Laplace transform technique, the existence of solution is accomplished. By applying the...

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Main Authors: Alam, Mehboob, Zada, Akbar, Popa, Ioan-Lucian, Kheiryan, Alireza, Rezapour, Shahram, Kaabar, Mohammed K. A.
Format: Article
Published: Springer 2021
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/28193/
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spelling my.um.eprints.281932022-07-26T08:34:00Z http://eprints.um.edu.my/28193/ A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability Alam, Mehboob Zada, Akbar Popa, Ioan-Lucian Kheiryan, Alireza Rezapour, Shahram Kaabar, Mohammed K. A. QA Mathematics In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative. By utilizing the Laplace transform technique, the existence of solution is accomplished. By applying the Bielecki-norm and the classical fixed point theorem, the Ulam stability results of the studied system are presented. An illustrative example is provided at the last part to validate all our obtained theoretical results. Springer 2021-08-21 Article PeerReviewed Alam, Mehboob and Zada, Akbar and Popa, Ioan-Lucian and Kheiryan, Alireza and Rezapour, Shahram and Kaabar, Mohammed K. A. (2021) A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability. Boundary Value Problems, 2021 (1). ISSN 1687-2770, DOI https://doi.org/10.1186/s13661-021-01549-y <https://doi.org/10.1186/s13661-021-01549-y>. 10.1186/s13661-021-01549-y
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Alam, Mehboob
Zada, Akbar
Popa, Ioan-Lucian
Kheiryan, Alireza
Rezapour, Shahram
Kaabar, Mohammed K. A.
A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability
description In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative. By utilizing the Laplace transform technique, the existence of solution is accomplished. By applying the Bielecki-norm and the classical fixed point theorem, the Ulam stability results of the studied system are presented. An illustrative example is provided at the last part to validate all our obtained theoretical results.
format Article
author Alam, Mehboob
Zada, Akbar
Popa, Ioan-Lucian
Kheiryan, Alireza
Rezapour, Shahram
Kaabar, Mohammed K. A.
author_facet Alam, Mehboob
Zada, Akbar
Popa, Ioan-Lucian
Kheiryan, Alireza
Rezapour, Shahram
Kaabar, Mohammed K. A.
author_sort Alam, Mehboob
title A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability
title_short A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability
title_full A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability
title_fullStr A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability
title_full_unstemmed A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability
title_sort fractional differential equation with multi-point strip boundary condition involving the caputo fractional derivative and its hyers-ulam stability
publisher Springer
publishDate 2021
url http://eprints.um.edu.my/28193/
_version_ 1739828446386716672
score 13.244414

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