Uncertain partial differential equation is a type of partial differential equation driven by Liu processes. This paper first provides two methods for solving the first order linear uncertain partial differential equation and the inverse uncertainty distribution of solution is discussed. Moreover, on the basis of the study of uncertainty theory and the propagation process of internet public opin...

In this paper we study numerical methods for hybrid fuzzy fractional differential equations and the iteration method is used to solve the hybrid fuzzy fractional differential equations with a fuzzy initial condition. We consider a differential equation of fractional order and we compared the results with their exact solutions in order to demonstrate the validity and applicability of the method....

By using the method of successive approximation, we prove the existence and uniqueness of a solution of the fuzzy differential equation x′(t)= f(t,x(t)), x(t0)= x0. We also consider an -approximate solution of the above fuzzy differential equation.

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

In this paper, we obtain a suitable mathematical model for the seismic response of dams. By using the shear beam model (SB model), we give a mathematical formulation that it is a partial differential equation and transform it to the Sturm-Liouville equation.

Nonstandard finite difference schemes for the Black-Scholes partial differential equation preserving the positivity property are proposed. Computationally simple schemes are derived by using a nonlocal approximation in the reaction term of the Black-Scholes equation. Unlike the standard methods, the solutions of new proposed schemes are positive and free of the spurious oscillations.

We firstly present a generalized concept of higher-order differentiability for fuzzy functions. Then we interpret Nth-order fuzzy differential equations using this concept. We introduce new definitions of solution to fuzzy differential equations. Some examples are provided for which both the new solutions and the former ones to the fuzzy initial value problems are presented and compared. We pre...

For a large class of real-valued potentials, V (x), x ∈ R, n ≥ 4 , we prove dispersive estimates for the low frequency part of e Pac, provided the zero is neither an eigenvalue nor a resonance of −∆+ V , where Pac is the spectral projection onto the absolutely continuous spectrum of −∆ + V . This class includes potentials V ∈ L(R) satisfying V (x) = O ( 〈x〉−(n+2)/2−ǫ ) , ǫ > 0. As a consequence...

In the present work, certain aspects, restricted to the visual system, of the J. Gonzalo’s research, are interpreted according to a simple linear theory of time-dispersion applied to the dynamic cerebral system, characterized by its excitability and its reaction velocity.

The non-retarded dispersive force between an electrically polarizable atom and a magnetically polarizable one