Abstract: In this paper, we introduce a class of time-fractional diffusion model with singular source term. The derivative employed in this model is defined in the Caputo sense to fit the conventional initial condition. With assistance ...

Abstract: In this paper, we use three operators called K, A, and Boperators to define the equation of motion of an oscillator. In contrast to fractional integral and derivative operators which use fractional power kernels or their ...

Abstract: Abstract. In this paper, we investigate a two-dimensional abstract semilinear wave equation and its quenching behavior. With the help of Kaplan's first eigenvalue method, we prove that for a sufficiently large domain, the ...