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On the hybrid Caputo-proportional fractional differential inclusions in Banach spaces

Abbas Mohamed I.

Journal of Mathematics and Applications

2022

Vol. 45

5--20

The current article concerns an existence criteria of solutions of nonlinear fractional differential inclusions in the sense of the hybrid Caputo-proportional fractional derivatives in Banach space. The investigation of the main result relies on the set-valued issue of Mönch fixed point theorem incorporated with the Kuratowski measure of non-compactness.

Controllability of multi-term time-fractional differential systems with state-dependent delay

Chaudhary Renu, Singh Vikram, Pandey D. N.

Journal of Applied Analysis

2020

Vol. 26, nr 2

241--255

In this paper, controllability results for a class of multi-term time-fractional differential systems with state-dependent delay have been studied. The concept of fractional calculus, measure of noncompactness and Mönch fixed-point theorem has been implemented to obtain a new set of controllability results. Finally, an application is given to illustrate the obtained results.