Exploring the Efficiency of the q-Homotopy Analysis Transform Method for Solving a Fractional Initial Boundary Value Problem with a Nonlocal Condition
This article employs the q-homotopy analysis transformation method (q-HATM) to numer- ically solve, subject to an integral condition, a fractional IBVP. The resulting numerical scheme is applied to solve, in which the exact solution is obtained, several test examples in order to illustrate its efficiency.
In this study, a novel integral operator that extends the functionality of some existing integral operators is presented. Specifically, the integral operator acts as the inverse operator to the…
This article employs the q-homotopy analysis transformation method (q-HATM) to numer- ically solve, subject to an integral condition, a fractional IBVP. The resulting numerical scheme is applied…
Lithium storage and capture are of particular importance for the development of new technology in electric vehicles and portable electronics. Nanotubes (NTs) are among many porous nanomaterials…