A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …

There is an increasing interest in dynamic systems and controls of noninteger orders or
fractional orders. Clearly, for closed-loop control systems, there are four situations. They are …

The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

Up to now we have introduced a fractional derivative definition for special simple function
classes. In the following section we will present common generalizations for arbitrary …

Numerical modeling of partial integrodifferential equations of fractional order shows
interesting properties in various aspects of science, which means increased attention to …

Purpose The purpose of this study is to introduce the reproducing kernel algorithm for
treating classes of time-fractional partial differential equations subject to Robin boundary …

Time-fractional partial differential equations describe different phenomena in statistical
physics, applied mathematics, and engineering. In this article, we propose and analyze an …

The aim of this article is to introduce the reproducing kernel algorithm for obtaining the
numerical solutions of fractional order systems of Dirichlet function types. The algorithm …

In this article, by popularization of the reproducing kernel Hilbert space method in the sense
of the Atangana–Baleanu fractional operator; set of first-order integrodifferential equations …

Diffusion weighted MRI is used clinically to detect and characterize neurodegenerative,
malignant and ischemic diseases. The correlation between developing pathology and …