Singular regularization of operator equations in L1 spaces via fractional differential equations
An abstract causal operator equation y=Ay defined on a space of the form $L_1([0,\tau],X)$, with X a Banach space, is regularized by the fractional differential equation $$ \varepsilon(D_0^{\alpha}y_{\varepsilon})(t) =-y_{\varepsilon}(t)+(Ay_{\varepsilon})(t), \quad t\in[0,\tau], $$ where $...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/01/abstr.html |