Recently, a new differential operator which combines fractal differentiation and fractional
differentiation with different kernels such as power law, exponential decay, and the Mittag …

This article focuses on fractional Maxwell model of viscoelastic materials, which are a
generalization of classic Maxwell model to noninteger order derivatives. We present and …

In this article, the methodology for deriving the exact steady-state solutions of forced
oscillatory systems has been extended to obtain the solution of fractal damped and forced …

This paper uses the two-scale fractal dimension transform and He's formula derived from the
ancient Chinese algorithm Ying Bu Zu Shu to find the approximate frequency–amplitude …

In this paper, the new iterative method with ρ ρ-Laplace transform of getting the approximate
solution of fractional differential equations was proposed with Caputo generalized fractional …

The paper introduced an image-denoising algorithm based on the fractal–fractional integral
operator for removing Gaussian noise in images. Using this algorithm fractional masks have …

In this article, a wavelet method is introduced for solving Caputo–Hadamard fractional
differential equations on an arbitrary interval. The proposed method is the fractional‐order …

Analytic solutions of fractional order physical equations are very significant to explain the
behavior of mathematical models expressing complex phenomena in engineering and …

The wireless data transfer is increasingly growing nowadays and the seeking of optimal and
secure sharing protocols is still relentless. In this paper, we design and implement on ESP32 …

The aim of this article is to define the Caputo derivative of bicomplex order for the functions
of a bicomplex variable, which we refer to as the Bicomplex Caputo Derivative (BCD) …