Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients. (12th May 2020)

• Record Type: Journal Article
• Authors: Injrou, Sami
• Other Names: Galdi Giovanni P. Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2020(2020)
• Publication Date: 2020-05-12
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2020/9312830
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : The aim of this paper is to improve a sub-equation method to solve the space-time fractional Zeldovich equation with time-dependent coefficients involving the conformable fractional derivative. As result, we obtain three families of solutions including the hyperbolic, trigonometric, and rational solutions. These solutions may be helpful to explain several phenomena in chemistry, including the combustion process. The study shows that the used method is effective and reliable and can be utilized as a substitution to construct new solutions of different types of nonlinear conformable fractional partial differential equations (NFPDEs) with variable coefficients.