Abstract
This paper is concerned with the existence and uniqueness of solution to an initial value problem for a differential equation of variable-order. The results are obtained by means of fixed point theorem. The obtained results are illustrated with the aid of examples.
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This research is supported by the Natural Science Foundation of China (11371364).
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Zhang, S. The uniqueness result of solutions to initial value problems of differential equations of variable-order. RACSAM 112, 407–423 (2018). https://doi.org/10.1007/s13398-017-0389-4
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DOI: https://doi.org/10.1007/s13398-017-0389-4
Keywords
- Derivatives and integrals of variable-order
- Initial value problem
- Piecewise constant functions
- Uniqueness of solution