Fractional-order boundary value problems are used to model certain phenomena in
chemistry, physics, biology, and engineering. However, some of these models do not meet …

Langevin differential equations with fractional orders play a significant role due to their
applications in vibration theory, viscoelasticity and electrical circuits. In this paper, we mainly …

In this paper, we consider an initial value problem for linear matrix coefficient systems of the
fractional-order neutral differential equations with two incommensurate constant delays in …

We establish a new natural extension of Mittag-Leffler function with three variables which is
so called" trivariate Mittag-Leffler function". The trivariate Mittag-Leffler function can be …

In the present paper, first, a ψ ψ‐delayed Mittag–Leffler type function is introduced, which
generalizes the existing delayed Mittag–Leffler type function. Second, by means of ψ ψ …

In this paper, a coupled system of differential equations involving fractional order with
integral boundary conditions is discussed. In the problem at hand, three main aspects that …

In this paper, a Hopfield‐type neural network system with Caputo–Hadamard fractional
derivative is discussed. The importance of the existence of the equilibrium point in the …

In this write-up, we focus on pseudo-Hilfer-type fractional order delayed differential
equations with bounded definite integral initial conditions on the time interval [0, T]. We …

In this write-up, we focus on pseudo-Hilfer-type fractional order delayed differential
equations with bounded definite integral initial conditions on the time interval [0, T]. We …

The novelties of this paper is the study of existence and uniqueness results for a class of
incommensurate fractional differential equation systems with general multiorders using the …