Abstract
Anomalous diffusion has been reported to be complex real world problems that cannot be depicted using classical and even fractional differential and integral operators with constant orders. With the aim to replicate more complex real world problems, fractal–fractional derivatives with exponential decay kernel have been suggested and applied in few problems with great success. As these new differential equations cannot be solved analytically, numerical methods are suitable candidate. In this chapter, the two-steps-Newton polynomial is used to derive a numerical scheme that will be employed to solving nonlinear ordinary differential equations with variable orders and exponential decay kernels.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
