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On hybrid type nonlinear fractional integrodifferential equations

In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the approximate solutions. We prove the existence...

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Main Authors: Damag, Faten Hasan Mohammed, Kilicman, Adem, Al-Arioi, Awsan T.
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute 2020
Online Access:http://psasir.upm.edu.my/id/eprint/86971/1/On%20hybrid%20type%20nonlinear.pdf
http://psasir.upm.edu.my/id/eprint/86971/
https://www.mdpi.com/2227-7390/8/6/984
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spelling my.upm.eprints.869712022-09-05T03:32:19Z http://psasir.upm.edu.my/id/eprint/86971/ On hybrid type nonlinear fractional integrodifferential equations Damag, Faten Hasan Mohammed Kilicman, Adem Al-Arioi, Awsan T. In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the approximate solutions. We prove the existence as well as the uniqueness of the corresponding approximate solutions by using hybrid fixed point theorems and provide upper and lower bounds to these solutions. Furthermore, some examples are provided, in which the general claims in the main theorems are demonstrated. Multidisciplinary Digital Publishing Institute 2020-06-16 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86971/1/On%20hybrid%20type%20nonlinear.pdf Damag, Faten Hasan Mohammed and Kilicman, Adem and Al-Arioi, Awsan T. (2020) On hybrid type nonlinear fractional integrodifferential equations. Mathematics, 8 (6). pp. 1-14. ISSN 2227-7390 https://www.mdpi.com/2227-7390/8/6/984 10.3390/math8060984
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the approximate solutions. We prove the existence as well as the uniqueness of the corresponding approximate solutions by using hybrid fixed point theorems and provide upper and lower bounds to these solutions. Furthermore, some examples are provided, in which the general claims in the main theorems are demonstrated.
format Article
author Damag, Faten Hasan Mohammed
Kilicman, Adem
Al-Arioi, Awsan T.
spellingShingle Damag, Faten Hasan Mohammed
Kilicman, Adem
Al-Arioi, Awsan T.
On hybrid type nonlinear fractional integrodifferential equations
author_facet Damag, Faten Hasan Mohammed
Kilicman, Adem
Al-Arioi, Awsan T.
author_sort Damag, Faten Hasan Mohammed
title On hybrid type nonlinear fractional integrodifferential equations
title_short On hybrid type nonlinear fractional integrodifferential equations
title_full On hybrid type nonlinear fractional integrodifferential equations
title_fullStr On hybrid type nonlinear fractional integrodifferential equations
title_full_unstemmed On hybrid type nonlinear fractional integrodifferential equations
title_sort on hybrid type nonlinear fractional integrodifferential equations
publisher Multidisciplinary Digital Publishing Institute
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/86971/1/On%20hybrid%20type%20nonlinear.pdf
http://psasir.upm.edu.my/id/eprint/86971/
https://www.mdpi.com/2227-7390/8/6/984
_version_ 1743108538170867712
score 13.18916

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