Salem Abdelmalek, Maha Bajneed, Khaled Sioud
Abstract:
We study Cauchy problems time fractional semi-linear
pseudo-hyperbolic equations and systems. Using the method of
nonlinear capacity, we show that there are no solutions for certain
nonlinearities and initial data. Our work complements the work by
Aliev and col. [1,6,7].
Submitted June 25, 2015. Published January 12, 2016.
Math Subject Classifications: 80A23, 65N21, 26A33, 45J05, 34K37, 42A16.
Key Words: Semi-linear pseudo-hyperbolic equation; non-existence of solutions;
non-linear capacity method.
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| Salem Abdelmalek Department of Mathematics College of Sciences at Yanbu Taibah University, Saudi Arabia email: sallllm@gmail.com | |
| Maha Bajneed Department of Mathematics Faculty of Sciences at Yanbu Taibah University, Saudi Arabia email: m_bajneed@hotmail.com | |
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Khaled Sioud Department of Mathematics Faculty of Sciences at Yanbu Taibah University, Saudi Arabia email: sioudkha@aol.com |
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