The search session has expired. Please query the service again.
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type
differential operators with smooth right-hand sides. In various places in
the literature one can find the statement that such equations cannot have
smooth solutions. We prove that this is wrong, and we give a full
characterization of the situations where smooth solutions exist. The results can
be extended to a class of weakly singular Volterra integral equations.
In this paper we examine the set of weakly continuous solutions for a Volterra integral equation in Henstock-Kurzweil-Pettis integrability settings. Our result extends those obtained in several kinds of integrability settings. Besides, we prove some new fixed point theorems for function spaces relative to the weak topology which are basic in our considerations and comprise the theory of differential and integral equations in Banach spaces.
We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.
Currently displaying 1 –
19 of
19