Boundary Integral Solution of the Time-Fractional Diffusion Equation
We present the fundamental solution by means of the Fox H-functions, and represent the solution of (1) as a single-layer potential. By the jump relations of the potential we derive the appropriate boundary integral operator.We give spaces, which yields the unique solution of the boundary integral equation and thus the unique solution of the initial boundary value problem.
KeywordsFundamental Solution Boundary Integral Equation Caputo Derivative Jump Relation Zero Initial Condition
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