Results 1 to 10 of about 15,169 (314)

Cauchy problem for fractional diffusion equations

Journal of Differential Equations, 2004
We consider an evolution equation with the regularized fractional derivative of an order $ \in (0,1)$ with respect to the time variable, and a uniformly elliptic operator with variable coefficients acting in the spatial variables. Such equations describe diffusion on inhomogeneous fractals.
Eidelman, Samuil D., Kochubei, Anatoly N.   +1 more
exaly   +3 more sources

METODE ALTERNATIF DALAM MENENTUKAN SOLUSI PARTIKULAR PERSAMAAN EULER-CAUCHY

Barekeng, 2021
Euler-Cauchy equation is the typical example of a linear ordinary differential equation with variable coefficients. In this paper, we apply the alternative method to determine the particular solution of Euler-Cauchy nonhomogenous with polynomial and ...
Mariatul Kiftiah, Yudhi Yudhi, Alvi Yanitami   +2 more
doaj   +1 more source

Solving the Helmholtz Equation Together with the Cauchy Boundary Conditions by a Modified Quasi-Reversibility Regularization Method

Journal of Mathematics, 2022
The Quasi-Reversibility Regularization Method (Q-RRM) provides stable approximate solution of the Cauchy problem of the Helmholtz equation in the Hilbert space by providing either additional information in the Laplace-type operator in the Helmholtz ...
Benedict Barnes, Isaac Addai, Francis Ohene Boateng, Ishmael Takyi   +3 more
doaj   +1 more source

Analytic Solutions of Equation for Random Evolution on a Complex Plane

Austrian Journal of Statistics, 2023
We discuss a generalization of Goldstein-Kac model on a complex plane and apply probabilistic approach to construct solutions of the corresponding Cauchy problem for complex-analytic initial conditions.
Igor Samoilenko, Ganna Verovkina, Tetiana Samoilenko   +2 more
doaj   +1 more source

On Cauchy’s functional equation [PDF]

Proceedings of the American Mathematical Society, 1965
for real-valued functions of a real variable. P. Erdos [2] asked, after learning about a preliminary result of S. Hartman [3], whether one obtains all functions satisfying (C) for almost all pairs (x, y) by simply redefining the functions satisfying (C) for all (x, y) in an arbitrary manner on sets of measure zero.
openaire   +2 more sources

The Cauchy problem for a general hyperbolic differential equation of the n-th order with the nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

Cauchy problem for the system of the general hyperbolic differential equations of the forth order with nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

Universal Journal of Mathematics and Applications, 2020
In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
doaj   +1 more source

On Cauchy problems for fuzzy differential equations [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
Existence and uniqueness theorems are proved for Cauchy problems of second‐order fuzzy differential equations.
D. N. Georgiou, I. E. Kougias
openaire   +2 more sources

A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation

Abstract and Applied Analysis, 2012
We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its ...
Jae-Hyeong Bae, Won-Gil Park
doaj   +1 more source