We study multidimensional variational problems, where the Lagrange function depends on the partial Caputo–Katugampola fractional derivatives, generalizing the Caputo and the Caputo–Hadamard fractional derivatives. We present sufficient and necessary conditions which determine the extremizers of a functional.
CITATION STYLE
Łupińska, B., Odzijewicz, T., & Schmeidel, E. (2018). Optimality conditions for multidimensional variational problems involving the caputo-type fractional derivative. In Springer Proceedings in Mathematics and Statistics (Vol. 230, pp. 419–427). Springer New York LLC. https://doi.org/10.1007/978-3-319-75647-9_34
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