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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Bibliographic Details
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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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021740