A non-linear fractional neutral dynamic equations: existence and stability results on time scales

Abstract

The outcomes of a nonlinear fractional neutral dynamic equation with initial conditions on time scales are examined in this work using the Riemann-Liouville nabla ($ \nabla $) derivative. The existence, uniqueness, and stability results for the solution are examined by using standard fixed point techniques. For the result illustration, an example is given along with the graph using MATLAB.

Keywords

• neutral differential equations
• riemann-liouville (rl) $ \nabla $-derivative
• time scales
• fixed point