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| In the last few decades, fractional differential equations have been found to be successful models
of real life phenomenon. We wish to investigate the regular fractional Sturm--Liouville eigenvalue problem. Applying methods of fractional variational analysis we prove existence of countable set of orthogonal solutions and corresponding eigenvalues. Base on this result we can apply the method of separating variables to space-- and time--fractional diffusion equations.\\
This is joint work with Ma\l gorzata Klimek and Tatiana Odzijewicz. |
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