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Blowing‐up solutions to two‐times fractional differential equations
Authors:Mokhtar Kirane  Abdelouhab Kadem  Amar Debbouche
Institution:1. Université de La Rochelle, Laboratoire de Mathématiques, Image et Applications, P?le Sciences et Technologies, Avenue M. Crépeau, , 17000 La Rochelle, France;2. L.M.F.N., Département de Mathématiques, Faculté des Sciences, Université de Setif, , 19000 Setif, Algeria;3. Département de Mathématiques, Faculté des Sciences, Université 8 Mai 1945 Guelma, , 24000 Guelma, Algeria
Abstract:Nonexistence results for a class of two‐times differential equations with fractional derivatives of orders between zero and one are presented. Furthermore, the result is extended to a two‐times system of two differential equations with fractional derivatives of orders between zero and one.
Keywords:Nonlinear fractional differential equations  non‐existence of global solutions  35B33  35K57  35K65
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