On the existence of solutions for a class of fractional differential equations
نویسندگان
چکیده
In this paper, we study the existence and uniqueness of solutions to the Cauchy problem for nonautonomous fractional differential equations involving Caputo derivative in Banach spaces. Definition for the solution in the Carathéodory sense and fundamental lemma are introduced. Some sufficient conditions for the existence and uniqueness of solutions are established by means of fractional calculus, Hölder inequality via fixed point theorem under some weak conditions. Mathematics Subject Classification (2010): 26A12, 34G20, 34K30.
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