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Session 8. Dynamic Systems with Fractional and Time Scale Derivatives
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Fractional diffusion equation |
Tatiana Odzijewicz, University of Aveiro, Portugal
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The talk is based on the joint work with Małgorzata Klimek and Agnieszka B. Malinowska
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We study space-- and time--fractional diffusion equations.
Our approach strongly depends on the fractional Sturm--Liouville theory,
precisely on the problem of finding eigenvalues and corresponding eigenfunctions to the certain fractional differential equation.
Using the method of separating variables and applying theorem ensuring existence of solutions
to the fractional Sturm--Liouville problem we solve several types of fractional duffusion equations.
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