In this paper, time-fractional partial differential equations (FPDEs) involving singular and non-
singular kernel are considered. We have obtained the approximate analytical solution for …

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 …

In this work, we develop a formulation for the approximate-analytical solution of fractional
partial differential equations (PDEs) by using conformable fractional derivative. Firstly, we …

In this paper, we have aimed the numerical inverse Laplace homotopy technique for solving
some interesting 1-D time-fractional heat equations. This method is based on the Laplace …

This study addresses a novel identification of Adomian Decomposition Method (ADM) to
have an accurate and quick solution for the European option pricing problem by using Black …

In this paper, we investigate some analytical, numerical and approximate analytical methods
by considering time-fractional nonlinear Burger–Fisher equation (FBFE).(1/G′)-expansion …

In this study authors introduce the conformable double Laplace transform which can be used
to solve fractional partial differential equations that represents many physical and …

We investigated existence and uniqueness conditions of solutions of a nonlinear differential
equation containing the Caputo–Fabrizio operator in Banach spaces. The mentioned …

This research introduces a novel approach that combines the conformable double Laplace–
Sumudu transform (CDLST) and the iterative method to handle nonlinear partial problems …

This study presents two new numerical techniques for solving time-fractional one-
dimensional cable differential equation (FCE) modeling neuronal dynamics. We have …