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

Autor: Mohamed I. Abbas, Snezhana Hristova
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 11, Pp 12832-12844 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021740?viewType=HTML
Popis: 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.
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