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Blow-up of solutions to fractional differential inequalities involving psi-Caputo fractional derivatives of different orders
Journal article   Open access  Peer reviewed

Blow-up of solutions to fractional differential inequalities involving psi-Caputo fractional derivatives of different orders

Ibtisam Aldawish, Mohamed Jleli, Bessem Samet and Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammad Ibn Saud Islamic University), Riyadh, Saudi Arabia
AIMS mathematics, Vol.7(5), pp.9189-9205
01/01/2022
DOI: https://doi.org/10.3934/math.2022509

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider a fractional differential inequality involving psi-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 ->infinity) psi(t) = infinity and lim(t ->infinity) psi(t) < infinity.
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https://doi.org/10.3934/math.2022509View
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