Existence results for some fractional differential equations related to $A\in {\cal B}(L^2[a,b])$
Abstract
In this paper we define the (generalized) linear Volterra integral
operator on $L^2[a,b]$. 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.
operator on $L^2[a,b]$. 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.
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