Existence results for some fractional differential equations related to $A\in {\cal B}(L^2[a,b])$

Ali Bayati Eshkaftaki


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.


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