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.
机构:
Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey
China Med Univ, Dept Med Res, Taichung 40402, TaiwanUniv Batna 2, Dept Math, Batna 05078, Algeria
Jarad, Fahd
Abdeljawad, Thabet
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机构:
Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia
Asia Univ, Dept Comp Sci & Informat Engn, Taichung, TaiwanUniv Batna 2, Dept Math, Batna 05078, Algeria
机构:
Univ Hassiba Benbouali Chlef, Fac Exact Sci & Informat, Dept Math, Chlef, AlgeriaCankaya Univ, Dept Math, Ankara, Turkiye
Bouriah, Soufyane
Salim, Abdelkrim
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Hassiba Benbouali Univ Chlef, Fac Technol, POB 151, Chlef 02000, Algeria
Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes, AlgeriaCankaya Univ, Dept Math, Ankara, Turkiye
Salim, Abdelkrim
Benchohra, Mouffak
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Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes, AlgeriaCankaya Univ, Dept Math, Ankara, Turkiye
Benchohra, Mouffak
Karapinar, Erdal
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机构:
Cankaya Univ, Dept Math, Ankara, Turkiye
China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, TaiwanCankaya Univ, Dept Math, Ankara, Turkiye