In this article, we investigate sufficient conditions for the existence and stability of solutions to
a coupled system of ψ-Caputo hybrid fractional derivatives of order 1< υ≤ 2 subjected to …

A random arbitrary-order mathematical system is investigated via the global and non-
singular kernel of Atangana-Baleanu in the sense of Caputo (ABC) derivative in this study …

This article studies a pharmacokinetics problem, which is the mathematical modeling of a
drug concentration variation in human blood, starting from the injection time. Theories and …

Neural ordinary differential equations are architectures that connect the neural network
theory with dynamical system, providing scope for continuous propagation of the layers …

In this study, the existence and uniqueness of the solution for a system consisting of
sequential fractional differential equations that contain Caputo–Hadamard (CH) derivative …

In this study, a new class of sequential fractional differential problems of pantograph type is
introduced. New existence and uniqueness criteria for the existence and uniqueness of …

A study of a class of nonlinear differential equations involving the φ-Caputo type derivative
in a Banach space framework is presented. Weissinger's and Meir-Keeler's fixed-point …

The relaxation-oscillation differential equation serves as the fundamental model governing
the description of relaxation-oscillation processes with notable applications in fluid flow and …

In this article, we find the necessary conditions for the existence and uniqueness of solutions
to a system of hybrid equations that contain mixed fractional derivatives (Caputo and …

In this paper, we study the existence and uniqueness of the solution for a coupled system of
mixed fractional differential equations. The main results are established with the aid of …