Collocation methods for terminal value problems of tempered fractional differential equations

By Babak Shiri, Guo-cheng Wu, Dumitru Băleanu. 2020

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Abstract A class of tempered fractional differential equations with terminal value problems are investigated in this paper. Discretized collocation methods on piecewise polynomials spaces are proposed for solving these equations. Regularity results are constructed on weighted spaces and convergence order is studied. Several examples are supported the theoretical parts and compared with other methods.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0717840819be12fe7633d3192467b18f14667f1f