In this paper, a novel analytical method for solving nonlinear partial differential equations is
studied. This method is known as triple Laplace transform decomposition method. This …

Recently, the most important properties of the conformable fractional derivative and integral
have been introduced. In this paper, some interesting results of real fractional Calculus are …

New results on complex conformable integral Page 1 AIMS Mathematics, 5(6): 7695–7710.
DOI: 10.3934/math.2020492 Received: 07 August 2020 Accepted: 09 September 2020 …

In the last 3 years, the fractional conformable derivative and its properties have been
introduced. Unlike other definitions, this new fractional derivative is based on the basic limit …

In the conformable fractional calculus, T α T β≠ T β T α and I α I β≠ I β I α, where T α and I α
are conformable fractional differential and integral operators, respectively. Also, T β≠ T n α …

Full article: Total fractional differentials with applications to exact fractional differential
equations Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

In this article, we develop a standard idea in seeking the solution of linear ODEs to derive
the representation of solutions to conformable fractional linear differential equations with …

This paper is about the conformable fractional delay equations. We offer a conformable
delay perturbation of matrix exponential function to give the representation of solutions for …

In this research paper, we discuss systems of conformable linear differential equations. The
conformable fundamental exponential matrix has been used to express the solution of the …

The conformable derivative and its properties have been recently introduced. In this
research work, we propose and prove some new results on the conformable calculus. By …