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Multiple Riemann Sheet Solution for Dynamic Systems with Fractional Differential Equations

Shantanu Das


Multiple Riemann sheet solutions are unavoidable in systems with Fractional Differential equation. An attempt is made here to show some puzzling aspects of obtaining the Multiple Riemann Sheet solution for a Fractional Differential equation, via classical higher transcendental function, and via contour integration through inverse Laplace of indicial polynomial. These two methods give different functional forms however, posses a query that if a system does not have roots inside the contour then the solution is what is obtained is the integration on the branch cut lines, represented as Bestimmte integrals!


Bestimmte Integrals, Riemann Sheets, Conformal Mapping, Residues of poles, ultra-damped poles, Fractional differential equations

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