Results reported in this paper establish the existence of solutions for a class of generalized
fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities …

In this study, new midpoint-type inequalities are given through recently generalized
Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of …

A nonlocal boundary value problem for a couple of two scalar nonlinear differential
equations with several generalized proportional Caputo fractional derivatives and a delay is …

This paper derives some equalities via twice differentiable functions and conformable
fractional integrals. With the help of the obtained identities, we present new trapezoid‐type …

Modeling human immunodeficiency virus (HIV) via fractional operators has several benefits
over the classical integer-order HIV model. The reason is that the fractional HIV model relies …

In this paper, we obtain some univariate and multivariate Ostrowski-type inequalities using
the Atangana–Baleanu fractional derivative in the sense of Liouville–Caputo (ABC). The …

In this article, a new fractional mathematical model is presented to investigate the contagion
of the human immunodeficiency virus (HIV). This model is constructed via recent improved …

In this work we study variational problems, where ordinary derivatives are replaced by a
generalized proportional fractional derivative. This fractional operator depends on a fixed …

A scalar nonlinear impulsive differential equation with a delay and generalized proportional
Caputo fractional derivatives (IDGFDE) is investigated. The linear boundary value problem …

Fractional Langevin equations play an important role in describing a wide range of physical
processes. For instance, they have been used to describe single-file predominance and the …