In this article, we study an impulsive neutral fractional integro-differential equation (FIDE) via
Atangana-Baleanu fractional derivative. The fixed point approach is employed to prove the …

The study of neutral fractional delay system governed by nonlocal conditions is presented
and proved. With the aid of fractional theory, noncompact measure and Mönch's technique …

This work establishes the controllability of nondense fractional neutral delay differential
equation under Hille-Yosida condition in Banach space. The outcomes are derived with the …

Variable order differential equations are the natural extension of the said area. In many
situations, such problems have the ability to describe real-world problems more concisely …

Full article: Ulam–Hyers–Rassias stability of neutral stochastic functional differential
equations Skip to Main Content Taylor and Francis Online homepage Browse Search …

The primary objective of this research is to investigate the controllability and Hyers–Ulam
stability of fractional dynamical systems represented by ψ-Caputo fractional derivative with …

In this paper, we investigative the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability
of fuzzy fractional Volterra integral equations (FFVIEs) involving the kernel ψ− function. We …

In this article, by using the differential Caputo–Fabrizio operator, we suggest a novel family
of piecewise differential equations (DEs). The issue under study contains a mixed delay …

The logical progression from the constant order differential equations is the field of variable-
order differential equations. Such equations can frequently give a more succinct description …

In the current contribution, integral representations of the solutions of homogeneous and
nonhomogeneous delay differential equation of a fractional Hilfer derivative are established …