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New concepts and results in stability of fractional differential equations. (English) Zbl 1252.35276
Summary: In this paper, some new concepts in stability of fractional differential equations are offered from different perspectives. Hyers-Ulam-Rassias stability as well as Hyers-Ulam stability of a certain fractional differential equation are presented. The techniques rely on a fixed point theorem in a generalized complete metric space. Some applications of our results are also provided.

35R11 Fractional partial differential equations
35B35 Stability in context of PDEs
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory, local dynamics
Full Text: DOI
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