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On the absence of global solutions to two-times-fractional differential inequalities involving Hadamard-Caputo and Caputo fractional derivatives
Journal article   Open access  Peer reviewed

On the absence of global solutions to two-times-fractional differential inequalities involving Hadamard-Caputo and Caputo fractional derivatives

Ibtehal Alazman, Mohamed Jleli, Bessem Samet and Department of Mathematics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia
AIMS mathematics, Vol.7(4), pp.5830-5843
01/01/2022
DOI: https://doi.org/10.3934/math.2022323

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider a two-times nonlinear fractional differential inequality involving both Hadamard-Caputo and Caputo fractional derivatives of different orders, with a singular potential term. We obtain sufficient criteria depending on the parameters of the problem, for which a global solution does not exist. Some examples are provided to support our main results.
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https://doi.org/10.3934/math.2022323View
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