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Existence results for some fractional differential equations related to A ∈ B(L2[a, b])

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In this paper we define the (generalized) linear Volterra integral operator on L2[a, b]. Then the problem of existence and uniqueness of solutions of the second kind Volterra integral equations,… Click to show full abstract

In this paper we define the (generalized) linear Volterra integral operator on L2[a, b]. Then the problem of existence and uniqueness of solutions of the second kind Volterra integral equations, corresponding to this operator, will be answered. Finally, some applications of this work to the existence of solutions of some fractional differential equations, are given.

Keywords: fractional differential; equations related; differential equations; results fractional; existence results

Journal Title: Filomat
Year Published: 2020

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