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Nonlinear fractional differential equations of Sobolev type
Author(s) -
Alsaedi Ahmed,
Alhothuali Mohammed S.,
Ahmad Bashir,
Kerbal Sebti,
Kirane Mokhtar
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2954
Subject(s) - mathematics , sobolev space , nonlinear system , limiting , type (biology) , mathematical analysis , fractional calculus , function (biology) , mechanical engineering , ecology , physics , quantum mechanics , engineering , biology , evolutionary biology
Sobolev type nonlinear equations with time fractional derivatives are considered. Using the test function method, limiting exponents for nonexistence of solutions are found. Copyright © 2013 John Wiley & Sons, Ltd.