Fractional order of pneumococcal pneumonia infection model with Caputo Fabrizio operator

Abstract

In this study, we present the Pneumococcal Pneumonia infection model using fractional order derivatives in the Caputo-Fabrizio sense. We use fixed-point theory to prove the existence of the solution and investigate the uniqueness of the model variables. The fractional Adams-Bashforth method is used to compute an iterative solution to the model. Finally, using the model parameter values to explain the importance of the arbitrary fractional order derivative, the numerical results are presented.

Keywords

• Pneumonia model
• Caputo-Fabrizio fractional derivative
• Fixed point theorem
• Numerical results