This analysis proposes an analytical-numerical approach for providing solutions of a class of
nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in …

We embark on a thorough analysis of a fractional model, concentrating our efforts on
exploring the intricacies of the Klein-Gordon equation, within the framework of a specialized …

In this paper we study fractional initial value problems with Caputo–Fabrizio derivative which
involves nonsingular kernel. First we apply α-ℓ-contraction and α-type F-contraction …

The current study is conducted to evaluate the numerical solution of the space-time
fractional Klein-Gordon equation. This equation is obtained by adopting the generalized …

In the present work the modified differential transform method, incorporating the Adomian
polynomials into the differential transform method (DTM), is used to solve the nonlinear and …

This paper extends the homotopy perturbation Sumudu transform method (HPSTM) to solve
linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the …

In this paper, we consider fractional differential equations with the new fractional derivative
involving a nonsingular kernel, namely, the Caputo‐Fabrizio fractional derivative. Using a …

The new fractional derivative, which has no singular kernel, was recently introduced by
Caputo and Fabrizio. In this paper, we consider the nonlinear KdV equation with the new …

The work addressed in this paper is the analytic investigation of the steady thin film flow of
non-Newtonian Johnson-Segalman fluid on vertical cylinder for lifting and drainage …

In this paper to solve a set of linear and nonlinear fractional differential equations, we
modified the differential transform method. Adomian polynomials helped taking care of the …