In this article, we study the time‐fractional nonlinear Klein–Gordon equation in Caputo–
Fabrizio's sense and Atangana–Baleanu–Caputo's sense. The modified double Laplace …

In this paper, we proposed a novel analytical technique for one-dimensional fractional heat
equations with time fractional derivatives subjected to the appropriate initial condition. This …

In this article, the q-homotopy analysis transform method (q-HATM) is hired to find the
solution for the time-fractional Klein–Fock–Gordon (FKFG) equation. The FKFG equation …

In this study, we treat some Klein-Gordon equations (KGEs). We propose a novel iterative
approach called the Elzaki iterative method (EIM). This method, which clearly depends on …

This paper deals with the generalized Bagley–Torvik equation based on the concept of the
Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space …

The SIR model with unknown parameters is an important issue for scientists in the study of
epidemiology and medical care for the injured people. In this work, an efficient technique …

The current work is of interest to introduce a detailed analysis of the novel fractional COVID-
19 model. Non-local fractional operators are one of the most efficient tools in order to …

Under uncertainty, the analytical behaviour of fractional partial differential equations is
frequently puzzling and challenging to predict. Therefore, in order to address these …

Many phenomena in physics and engineering can be built by linear and nonlinear fractional
partial differential equations which are considered an accurate instrument to interpret these …

In this article, the (G′/G)-expansion method is used for the analytical solutions of fractional-
order Klein-Gordon and Gas Dynamics equations. The fractional derivatives are defined in …