Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource A homotopy-based computational scheme for two-dimensional fractional cable equation Subject The topic of the resource Caputo derivative; Fractional cable equation; Laplace transform; q -homotopy analysis transform method Description An account of the resource In this paper, we examine the time-dependent two-dimensional cable equation of fractional order in terms of the Caputo fractional derivative. This cable equation plays a vital role in diverse areas of electrophysiology and modeling neuronal dynamics. This paper conveys a precise semi-analytical method called the q-homotopy analysis transform method to solve the fractional cable equation. The proposed method is based on the conjunction of the q-homotopy analysis method and Laplace transform. We explained the uniqueness of the solution produced by the suggested method with the help of Banach's fixed-point theory. The results obtained through the considered method are in the form of a series solution, and they converge rapidly. The obtained outcomes were in good agreement with the exact solution and are discussed through the 3D plots and graphs that express the physical representation of the considered equation. It shows that the proposed technique used here is reliable, well-organized and effective in analyzing the considered non-homogeneous fractional differential equations arising in various branches of science and engineering. 2024 World Scientific Publishing Company. Creator An entity primarily responsible for making the resource Kumar C.V.D.; Prakasha D.G.; Veeresha P.; Kapoor M. Source A related resource from which the described resource is derived Modern Physics Letters B, Vol-38, No. 32 Publisher An entity responsible for making the resource available World Scientific Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1142/S0217984924502920" target="_blank" rel="noreferrer noopener">https://doi.org/10.1142/S0217984924502920</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85188804286&amp;doi=10.1142%2FS0217984924502920&amp;partnerID=40&amp;md5=bac356d04dc13d3a7afb9cfabda10d59" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85188804286&amp;doi=10.1142%2fS0217984924502920&amp;partnerID=40&amp;md5=bac356d04dc13d3a7afb9cfabda10d59</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 2179849; CODEN: MPLBE Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Kumar C.V.D., Department of Mathematics, Davangere University, Shivagangotri, Davangere, 577007, India; Prakasha D.G., Department of Mathematics, Davangere University, Shivagangotri, Davangere, 577007, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to Be University), Bengaluru, 560029, India; Kapoor M., Department of Mathematics, Lovely Professional University, Punjab, Phagwara, 144411, India