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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Published inAIMS mathematics Vol. 6; no. 11; pp. 12832 - 12844
Main Authors Abbas, Mohamed I., Hristova, Snezhana
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
carathèodory multi-valued maps
diagonalization method
fractional differential inclusions
generalized proportional fractional derivatives
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Abstract 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.
AbstractList 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.
Author Abbas, Mohamed I.
Hristova, Snezhana
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crossref_primary_10_1016_j_cnsns_2022_106756
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Cites_doi 10.1186/s13662-017-1342-8
10.1155/2013/823961
10.3390/math7111084
10.1155/2020/9609108
10.1186/s13660-019-2052-4
10.1515/9783110874228
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10.3934/math.2021368
10.3390/sym13060996
10.1016/j.cam.2019.112400
10.1142/p614
10.1186/s13662-020-03043-8
10.1142/8180
10.3934/dcdss.2020039
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CorporateAuthor Faculty of Mathematics and Informatics, Plovdiv University, Plovdiv 4000, Bulgaria
Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria 21511, Egypt
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StartPage 12832
SubjectTerms carathèodory multi-valued maps
diagonalization method
fractional differential inclusions
generalized proportional fractional derivatives
Title Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
URI https://doaj.org/article/2dd5dda576a2472ab0a368a3ed30c161
Volume 6
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