The paper presents an adaptation of numerical solution of first order linear differential equation in fuzzy environment. The numerical method is re-established and studied with fuzzy concept to estimate its uncertain parameters whose values are not precisely known. Demonstrations of fuzzy solutions of the governing methods are carried out by the approaches, namely Modified Runge Kutta method an...

Conjecture [Schauder] For every non-empty convex subset C of a topological vector space E, a compact continuous mapping f : C → C has a fixed point, i.e., a point x∗ ∈ C such that f(x∗) = x∗. (See [16], problem 54). We recall that a mapping f : C → C is said to be compact if f(C) is contained in a compact subset of C. Schauder proved in 1930 that his conjecture holds for normed vector spaces an...

In this paper we study a fuzzy predator-prey model with functional response arctan(ax). The derivatives are approximated using the generalized Hukuhara derivative. To execute numerical simulation, use Runge-Kutta method. results obtained over time for evolution and population presented numerically graphically some conclusions.

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

Let K be a convex cone in a real Banach space. The main purpose of this paper is to show that for a regular cosine family {Ft : t ∈ R} of linear continuous multifunctions Ft : K → cc(X) there exists a linear continuous multifunction H : K → cc(K) such that Ft(x) ⊂ ∞ X n=0 t (2n)! H(x). Let X be a real normed vector space. We will denote by n(X) the family of all nonempty subsets of X and by cc(...

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...