Given the increasing number of proposals and definitions of operators in the scope of
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …

This paper presents a fundamental solution method for nonlinear fractional regularized long-
wave (RLW) models. Since analytical methods cannot be applied easily to solve such …

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 …

Recently, fractional differential equations (FDEs) have attracted much more attention in
modeling real-life problems. Since most FDEs do not have exact solutions, numerical …

In this paper, we use the conformable fractional derivative to discuss some fractional linear
differential equations with constant coefficients. By applying some similar arguments to the …

In this work, we have derived an approximate solution of the fractional Black-Scholes
models using an iterative method. The fractional differentiation operator used in this paper is …

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 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 …

The conformable fractional-order (CFO) hyperchaotic system is solved by employing the
proposed conformable Homotopy analysis method (CHAM). Relationship between HAM …

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 …