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ISSN 1449-5910  


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4: Paper Source PDF document

Paper's Title:

Boundary Value Problems for Fractional Diffusion-Wave equation


Varsha Daftardar-Gejji and Hossein Jafari

Department of Mathematics, University of Pune,
Ganeshkhind, Pune - 411007,


Non homogeneous fractional diffusion-wave equation has been solved under linear/nonlinear boundary conditions. As the order of time derivative changes from 0 to 2, the process changes from slow diffusion to classical diffusion to mixed diffusion-wave behaviour.
Numerical examples presented here confirm this inference. Orthogonality of eigenfunctions in case of fractional Stürm-Liouville problem has been established

3: Paper Source PDF document

Paper's Title:

Existence Results for Perturbed Fractional Differential Inclusions


Y.-K. Chang

Department of Mathematics,
Lanzhou Jiaotong University, Lanzhou, Gansu 730070, People's
Republic of China


This paper is mainly concerned with the following fractional differential inclusions with boundary condition

A sufficient condition is established for the existence of solutions of the above problem by using a fixed point theorem for multivalued maps due to Dhage. Our result is proved under the mixed generalized Lipschitz and Carathéodory conditions.

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