In this paper, the transient response of the parallel RCL circuit with Caputo–Fabrizio
derivative is solved by Laplace transforms. Also, the graphs of the obtained solutions for the …

This chapter presents an attempt to collate existing data about fractional derivatives with non-
singular kernels conceived by Caputo and Fabrizio in 2015. The idea attracted immediately …

Pine wilt disease is caused by nematodes transmitted by pine sawyer beetles and is fatal for
several pine species. The trees might be destroyed within a few months after being attacked …

In this paper, the analytical solutions for the electrical series circuits RC, LC, and RL using
novel fractional derivatives of type Atangana–Baleanu with non‐singular and nonlocal …

One of the important classes of coupled systems of algebraic, differential and fractional
differential equations (CSADFDEs) is fractional differential algebraic equations (FDAEs) …

Abstract Recently, Caputo and Fabrizio proposed a new derivative with fractional order
without singular kernel. The derivative has several interesting properties that are useful for …

Fractional-Order circuits and networks being a widely researched field lags in its
development due to the non-availability of its basic building block ie Fractional-Order …

This work presents the homotopy perturbation transform method for nonlinear fractional
partial differential equations of the Caputo-Fabrizio fractional operator. Perturbative …

In this paper, a three-dimensional cancer model was considered using the Caputo-Fabrizio-
Caputo and the new fractional derivative with Mittag-Leffler kernel in Liouville-Caputo sense …

This paper deals with the application of fractional derivatives in the modeling of electrical
circuits RC, RL, RLC, power electronic devices and nonlinear loads, the equations are …