Existence, regularity and representation of solutions of time fractional wave equations
We study the solvability of the fractional order inhomogeneous Cauchy problem $$ \mathbb{D}_t^\alpha u(t)=Au(t)+f(t), \quad t>0,\;1<\alpha\le 2, $$ where A is a closed linear operator in some Banach space X and $f:[0,\infty)\to X$ a given function. Operator families associated with thi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/222/abstr.html |