Abstract We study the initial value problem (*){cΔαu(n)=Au(n+1),n∈ℕ0;u(0)=u0∈X, when 𝐴 is a closed linear operator with domain 𝐷(𝐴) defined on a Banach space 𝑋. We introduce a method based on the ...
Green's functions and propagators for the multi-dimensional anisotropic space-time fractional diffusion equation are obtained in integral form. Uniqueness of the solutions is studied in the framework ...