Abstract The Caputo-Fabrizio fractional derivative is analyzed in classical and distributional
settings. The integral inequalities needed for application in linear viscoelasticity are …

The purpose of this paper is to study the existence and uniqueness of the solution of
nonlinear fractional differential equations with Mittag–Leffler nonsingular kernel. Two …

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

The nutrition of pregnant women is crucial for giving birth to a healthy baby and even for the
health status of a nursing mother. In this paper, the poor nutrition in the life cycle of humans …

In this paper, we solve a system of fractional differential equations within a fractional
derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the …

A system of fractional differential equations involving non-singular Mittag-Leffler kernel is
considered. This system is transformed to a type of weakly singular integral equations in …

In this paper we investigate a possible applicability of the newly established fractional
differentiation in the field of epidemiology. To do this we extend the model describing the …

The aim of this paper is to propose a new formulation of the fractional optimal control
problems involving Mittag–Leffler nonsingular kernel. By using the Lagrange multiplier …

In this study, we consider two coupled pendulums (attached together with a spring) having
the same length while the same masses are attached at their ends. After setting the system …

Variational calculus involving nonlocal fractional derivative with Mittag–Leffler kernel -
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