@article{Aldawish2022, 
author = {Ibtisam Aldawish and Mohamed Jleli and Bessem Samet},
title = {Blow-up of solutions to fractional differential inequalities involving    ψ-Caputo fractional derivatives of different orders},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {9189-9205},
keywords = {fractional differential inequality, global solution, nonexistence, ψ-Caputo fractional derivative, singular potential term},
url = {https://www.sciopen.com/article/10.3934/math.2022509},
doi = {10.3934/math.2022509},
abstract = {We consider a fractional differential inequality involving    ψ-Caputo fractional derivatives of different orders, with a polynomial nonlinearity and a singular potential term. Using the test function method and some integral inequalities, we establish nonexistence criteria of global solutions in both cases:        lim          t      →      ∞        ψ  (  t  )  =  ∞ and        lim          t      →      ∞        ψ  (  t  )  <  ∞.}
}