Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative
Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative
Mathematics Subject Classification: 26A33, 34A37. In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. Both cases of convex and nonconvex valued right-hand side are considered. The topological structure of the set of solutions is also considered.
- Bulgarian Academy of Sciences Bulgaria
- Institute of Mathematics and Informatics Bulgaria
Fractional Integral, Caputo Fractional Derivative, Impulses, Existence, Initial Value Problem, Fractional Differential Inclusions, Fixed Point Theorem, 26A33, Selection, 34A37
Fractional Integral, Caputo Fractional Derivative, Impulses, Existence, Initial Value Problem, Fractional Differential Inclusions, Fixed Point Theorem, 26A33, Selection, 34A37
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