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

Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations

Loading...
Thumbnail Image

Date

2019

Journal Title

Journal ISSN

Volume Title

Publisher

Springer Open

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Journal Issue

Events

Abstract

This manuscript deals with fractional differential equations including Caputo-Fabrizio differential operator. The conditions for existence and uniqueness of solutions of fractional initial value problems is established using fixed point theorem and contraction principle, respectively. As an application, the iterative Laplace transform method (ILTM) is used to get an approximate solutions for nonlinear fractional reaction-diffusion equations, namely the Fitzhugh-Nagumo equation and the Fisher equation in the Caputo-Fabrizio sense. The obtained approximate solutions are compared with other available solutions from existing methods by using graphical representations and numerical computations. The results reveal that the proposed method is most suitable in terms of computational cost efficiency, and accuracy which can be applied to find solutions of nonlinear fractional reaction-diffusion equations.

Description

Keywords

Caputo-Fabrizio Derivative Operator, Existence and Uniqueness, Fixed Point Theorem, Iterative Laplace Transform Method, Approximate Solutions

Turkish CoHE Thesis Center URL

Fields of Science

Citation

Shaikh, Amjad...et al. (2019). Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations", Advances in Difference Equations.

WoS Q

Scopus Q

Source

Advances in Difference Equations

Volume

Issue

Start Page

End Page