Approximate solutions to hyperbolic partial differential equation with fractional differential and fractional integral forcing functions

Abstract

This manuscript deals with a hyperbolic partial differential equation with fractional differential and fractional integral forcing functions. Semidiscretization method is used to establish a unique strong solution and also approximate solutions. Error estimates and continuous dependence of the strong solution on the given conditions have also been discussed. At the end, we illustrated the results with an example.

Keywords

• semidiscretization method
• hyperbolic partial fractional differential equation
• integral conditions
• strong solution