Based on the non-semisimple Lie algebra g˜, we introduce a new integrable coupling
system of the focusing nonlinear Schrödinger equation associated with a 4th-order block …

This manuscript mainly focuses on the nonlocal controllability analysis for the impulsive
fractional functional integro-differential equation (IFrFIDE) in n-dimensional Euclidean …

In this paper, we first establish two quantum integral (q-integral) identities with the help of
derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q …

This manuscript deals with the concept of Hilfer fractional neutral functional
integrodifferential equation with a nonlocal condition. The solution representation of a given …

We explored a class of quantum calculus boundary value problems that include fractional q-
difference integrals. Sufficient and necessary conditions for demonstrating the existence and …

The performance of polycrystalline solar modules in semi-arid regions, such as Aswan City,
Egypt, can be significantly influenced by local climatic conditions. This study aims to develop …

In this paper, we study the existence of solutions and their uniqueness and different kinds of
Ulam–Hyers stability for a new class of nonlinear Caputo quantum boundary value …

Abstract The Supercritical Water-Cooled Reactor (SCWR) exhibits significant changes in
thermophysical properties of the coolant, but its dynamic characteristics are different from …

In this paper, we first prove the existence, uniqueness and continuity dependence on the
initial value of multi-term Caputo tempered fractional stochastic differential equations with …

In this paper, the dynamics of a mechanical exciter and three cylindrical rollers (CRs) with
the non-identical friction coefficients interacting through a rigid platform is considered …