Open AccessExistence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
Author(s) -
Mohamed I. Abbas,
Snezhana Hristova
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021740
Subject(s) - nonlinear system , mathematics , differential inclusion , type (biology) , class (philosophy) , differential (mechanical device) , mathematical analysis , pure mathematics , physics , computer science , thermodynamics , quantum mechanics , ecology , artificial intelligence , biology
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.