Journal
POTENTIAL ANALYSIS
Volume 49, Issue 3, Pages 423-478Publisher
SPRINGER
DOI: 10.1007/s11118-017-9663-5
Keywords
Space-time-fractional partial differential equations; Caputo derivatives; Abel equation of the first kind; Abel equation of the second kind; Time fractional diffusion in Banach spaces; Spectral theory
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Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.02-2016.26]
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In practice many problems related to space/time fractional equations depend on fractional parameters. But these fractional parameters are not known a priori in modelling problems. Hence continuity of the solutions with respect to these parameters is important for modelling purposes. In this paper we will study the continuity of the solutions of a class of equations including the Abel equations of the first and second kind, and time fractional diffusion type equations. We consider continuity with respect to the fractional parameters as well as the initial value.
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