فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we discuss atomic solutions of the second-order abstract Cauchy problem of conformable fractional type \begin{eqnarray*}u^{(2\alpha )}(t)+Bu^{(\alpha )}(t)+Au(t) &=&f(t) \\u(0) &=&u_{0}, \\u^{(\alpha )}(0) &=&u_{0}^{(\alpha )},\end{eqnarray*}%where $A,B$ are closed linear operators on a Banach space $X,$ $f$ $ :[0,\infty )\rightarrow X$ \ is continuous and $u$ is a continuously differentiable function on $[0,\infty )$. Some new results on atomic solutions using tensor product technique are obtained.