Analytical solution for the differential equation containing generalized fractional derivative operators and Mittag-Leffler-type function (Q420236)

Summary: We discuss and derive the analytical solution for the fractional partial differential equation with generalized Riemann-Liouville fractional operator \(D^{\alpha,\beta}_{0,t}\) of order \(\alpha\) and \(\beta\). Here, we derive the solution of the given differential equation with the help of Laplace and Hankel transform in terms of Fox's \(H\)-function as well as in terms of the Fox-Wright function \(_p\psi_q\).