Numerical methods for fractional differential equations have specific properties with respect to the ones ordinary equations. The paper discusses Euler Caputo equation initial value problem. common of are stated and demonstrated by several numerical experiments. Python codes available researchers simulations.

We show some consequences of Caro and Tuza’s [J. Graph Theory 15 (1991), 99–107] lower bound on the independence number of aK-uniform hypergraph H. This bound has the form CK · ∑n i=1(di+1) −1/(K−1), where CK is a constant depending only on K, and d1, . . . , dn are the degrees of the vertices in H. We improve on the best known bounds for CK : in particular, we prove that C3 ≥ √π/2 and that CK ...

The aim of this paper is to analyze convergence properties of exponential integrators for linear parabolic problems arising in finance. We show convergence for the exponential Euler method for nonsmooth initial data. More precisely, we consider an example from European call options under jump diffusion model when we do not have a dense matrix. In this paper, we state and prove the main results ...

The estimation of urinary catecholamines has assumed clinical significance mainly because of its value in the diagnosis of phaeochromocytoma (Engel and Euler, 1950; Euler, 1951). Since biological methods have obvious limitations for routine work, various chemical methods have been developed (Lund, 1950; Pekkarinen and Pitkanen, 1955; Euler and Floding, 1955a, b). They are based on the same prin...

The estimation of urinary catecholamines has assumed clinical significance mainly because of its value in the diagnosis of phaeochromocytoma (Engel and Euler, 1950; Euler, 1951). Since biological methods have obvious limitations for routine work, various chemical methods have been developed (Lund, 1950; Pekkarinen and Pitkanen, 1955; Euler and Floding, 1955a, b). They are based on the same prin...

The Liu process is a fuzzy whose membership function symmetric on an expected value. object of this paper was differential equation driven by process. Since the existing Euler solving methods (explicit scheme, semi-implicit and implicit scheme) have same convergence, to compare them, we presented four stabilities, i.e., asymptotical stability, mean square exponential A stability. By choosing sp...

The estimation of urinary catecholamines has assumed clinical significance mainly because of its value in the diagnosis of phaeochromocytoma (Engel and Euler, 1950; Euler, 1951). Since biological methods have obvious limitations for routine work, various chemical methods have been developed (Lund, 1950; Pekkarinen and Pitkanen, 1955; Euler and Floding, 1955a, b). They are based on the same prin...