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

• Published in: AIMS mathematics Vol. 6; no. 11; pp. 12832 - 12844
• Main Authors: Abbas, Mohamed I., Hristova, Snezhana
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: carathèodory multi-valued maps; diagonalization method; fractional differential inclusions; generalized proportional fractional derivatives

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...