This rapidly evolving field extends classical discrete calculus by introducing non-integer, or fractional, orders of difference operators. Such an approach is particularly well suited to modelling ...

The fractional Schrödinger equation represents a pivotal extension of conventional quantum mechanics by incorporating fractional-order derivatives, which capture nonlocal and anomalous dispersive ...

This is a preview. Log in through your library . Abstract In the present work, we discuss the existence of mild solutions for the initial value problem of fractional evolution equation of the form (A) ...

This paper investigates the existence of solutions for nonlinear fractional differential equations with integral boundary conditions on an unbounded domain. An example illustrating how the theory can ...