Existence of solutions to the generalized periodic fractional boundary value problem
Michal Fečkan (Comenius University, Mathematical Institute of Slovak Academy of Sciences)
K. Marynets (TU Delft - Mathematical Physics)
Jin Rong Wang (Guizhou University)
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Abstract
We study a boundary value problem for a Caputo-type fractional differential equation subjected to periodic boundary conditions. For an auxiliary problem with the simplified right-hand side, we explicitly construct its unique solution. In addition, based on the theory of the topological index, we prove existence of at least one solution to the original problem.
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