Qualitative analysis for nonlinear fractional differential equations via topological degree method

JinRong Wang, Yong Zhou, Milan Medveď

Abstract


In this paper we study existence, uniqueness and data dependence for
the solutions of some nonlinear fractional differential equations in
Banach spaces. By means of topological degree method for condensing
maps via a singular Gronwall inequality with mixed type integral
terms, many new results are obtained.

Keywords


Fractional differential equations; qualitative analysis; topological degree; condensing maps; fixed point theorem

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