This paper investigates set-valued differential equations with fractional-like Hukuhara derivatives. Firstly, a novel comparison principle is given by introducing the upper quasi-monotone increasing functions. Then, stability criteria of Lipschitz and practical such different initial time are obtained via new vector Lyapunov

In this article, by using the technique of upper and lower solutions, some comparison results for first-order fuzzy differential equations are established. Hukuhara derivative, difference, partial orderings used proving theorems. We extend our to initial time difference case as well. Also, practicality these is demonstrated giving an example.

In this article, we establish the existence and uniqueness of (c1)-differentiable (c2)- differentiable solutions to first-order nonlinear impulsive fuzzy differential equations under generalized Hukuhara differentiability using contraction mappings principle. particular, are written as hyperbolic cosine sine functions with terms, which is main difficulty. An example provided prove our results.

In this paper, we consider functional set-valued differential equations in their integral representations that possess integrals symmetrically on both sides of the equations. The solutions have values are nonempty compact and convex subsets. main results contain a Peano type theorem existence solution Picard uniqueness to such proofs based sequences approximations constructed with appropriate H...

In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.

This paper is devoted to the study of gH-Clarke derivative for interval-valued functions. To find properties derivative, concepts limit superior, inferior, and sublinear functions are studied in sequel. It proved that upper a gH-Lipschitz continuous function (IVF) always exists. For convex IVF, found be identical with gH-directional derivative. observed IVF. Several numerical examples provided ...

The main purpose of this study is to introduce a new double fuzzy transform called the Sawi transform. A proof some basic properties single and are provided. These results implemented obtain exact solution non-homogeneous linear telegraph equation under generalized Hukuhara partial differentiability. In addition, by using symmetric triangular numbers, numerical examples given demonstrate validi...