We use a generalization of the Hukuhara difference for closed intervals on the real line to
develop a theory of the fractional calculus for interval-valued functions. The properties of …

Uncertainties are one principal part of any practical problem. Like any application, image
processing process has different unknown parts as uncertainties which are derived from …

This study investigates linear fractional difference equations with respect to interval–valued
functions. Caputo and Riemann–Liouville differences are defined. w–monotonicity is …

The theory of optimal control plays an important role to solve several real-life problems.
However, it is often seen that uncertainty is a major challenge in formulating the appropriate …

In this article, the notions of gH-directional derivative, gH-Gâteaux derivative and gH-Fréchet
derivative for interval-valued functions are proposed. The existence of gH-Fréchet derivative …

In the recent years some efforts were made to propose simple and well-behaved fractional
derivatives that inherit the classical properties from the first order derivative. In this regards …

In real-life situation, different characteristics of an imperfect production inventory system, viz.
demand, production, defectiveness and different costs may be imprecise. To represent the …

In this paper, a new formula of fuzzy Caputo fractional-order derivatives (0<; v≤ 1) in terms
of shifted Chebyshev polynomials is derived. The proposed approach introduces a shifted …

We propose a generalization of conformable calculus for Type-2 interval-valued functions.
We investigated the differentiability and integrability properties of such functions. The …

In this paper interval-valued fractional differential equations (IFDEs) under Caputo
generalized Hukuhara differentiability are introduced. We present existence and uniqueness …