Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique

Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique

The present paper is concerned with the existence of solutions of a new class of nonlinear generalized proportional fractional differential inclusions with the right-hand side contains a Carathèodory-type multi-valued nonlinearity on infinite intervals. The investigation of the proposed inclusion pr...

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Main Authors: Mohamed I. Abbas, Snezhana Hristova
Format: Article
Language:English
Published: AIMS Press 2021-09-01
Series:AIMS Mathematics
Subjects:
fractional differential inclusions
generalized proportional fractional derivatives
diagonalization method
carathèodory multi-valued maps
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021740?viewType=HTML
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spelling doaj-2dd5dda576a2472ab0a368a3ed30c1612021-09-26T02:38:10ZengAIMS PressAIMS Mathematics2473-69882021-09-01611128321284410.3934/math.2021740Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization techniqueMohamed I. Abbas0Snezhana Hristova11. Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria 21511, Egypt2. Faculty of Mathematics and Informatics, Plovdiv University, Plovdiv 4000, BulgariaThe present paper is concerned with the existence of solutions of a new class of nonlinear generalized proportional fractional differential inclusions with the right-hand side contains a Carathèodory-type multi-valued nonlinearity on infinite intervals. The investigation of the proposed inclusion problem relies on the multi-valued form of Leray-Schauder nonlinear alternative incorporated with the diagonalization technique. By specializing the parameters involved in the problem at hand, an illustrated example is proposed.https://www.aimspress.com/article/doi/10.3934/math.2021740?viewType=HTMLfractional differential inclusionsgeneralized proportional fractional derivativesdiagonalization methodcarathèodory multi-valued maps
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed I. Abbas
Snezhana Hristova
spellingShingle Mohamed I. Abbas
Snezhana Hristova
Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
AIMS Mathematics
fractional differential inclusions
generalized proportional fractional derivatives
diagonalization method
carathèodory multi-valued maps
author_facet Mohamed I. Abbas
Snezhana Hristova
author_sort Mohamed I. Abbas
title Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
title_short Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
title_full Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
title_fullStr Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
title_full_unstemmed Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
title_sort existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-09-01
description The present paper is concerned with the existence of solutions of a new class of nonlinear generalized proportional fractional differential inclusions with the right-hand side contains a Carathèodory-type multi-valued nonlinearity on infinite intervals. The investigation of the proposed inclusion problem relies on the multi-valued form of Leray-Schauder nonlinear alternative incorporated with the diagonalization technique. By specializing the parameters involved in the problem at hand, an illustrated example is proposed.
topic fractional differential inclusions
generalized proportional fractional derivatives
diagonalization method
carathèodory multi-valued maps
url https://www.aimspress.com/article/doi/10.3934/math.2021740?viewType=HTML
work_keys_str_mv AT mohamediabbas existenceresultsofnonlineargeneralizedproportionalfractionaldifferentialinclusionsviathediagonalizationtechnique
AT snezhanahristova existenceresultsofnonlineargeneralizedproportionalfractionaldifferentialinclusionsviathediagonalizationtechnique
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