Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices

No Thumbnail Available

Date

2019

Journal Title

Journal ISSN

Volume Title

Publisher

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Journal Issue

Events

Abstract

Herein, analytical solutions of three-dimensional (3D) diffusion, telegraph, and Burgers' models that are equipped with three memory indices are derived by using an innovative fractional generalization of the traditional differential transform method (DTM), namely, the threefold-fractional differential transform method (threefold-FDTM). This extends the applicability of DTM to comprise initial value problems in higher fractal spaces. The obtained solutions are expressed in the form of a (gamma) over bar -fractional power series which is a fractional adaptation of the classical Taylor series in several variables. Furthermore, the projection of these solutions into the integer space corresponds with the solutions of the classical copies for these models. The results detect that the suggested method is easy to implement, accurate, and very efficient in (non)linear fractional models. Thus, research on this trend is worth tracking.

Description

Keywords

Fractional Derivative, Fractional Partial Differential Equations, Threefold-Fractional Differential Transform

Turkish CoHE Thesis Center URL

Fields of Science

Citation

Yousef, Feras...et al. (2019). "New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices", Journal of Computational and Nonlinear Dynamics, Vol. 14, No. 11.

WoS Q

Scopus Q

Source

Journal of Computational and Nonlinear Dynamics

Volume

14

Issue

11

Start Page

End Page