INTEGRO-DIFFERENTIAL EQUATIONS EMBODYING POWERS OF A DIFFERENTIAL OPERATOR

L–operator Integro–differential Inequality for Dissipativity of Stochastic Integro–differential Equations

In this paper, Itô stochastic integro-differential equations are considered. By establishing an L -operator integro-differential inequality and using the properties of M -cone and stochastic analysis technique, we obtain some new sufficient conditions ensuring the exponential p -dissipativity of the stochastic integro-differential equations. An example is also discussed to illustrate the effici...

Nonlinear Integro - Differential Equations

Some identification problems for integro - differential operator equations ∗

We consider, in a Hilbert space H, the convolution integro-differential equation u′′(t)−h∗Au(t) = f(t), 0 ≤ t ≤ T , h∗v(t) = ∫ t 0 h(t−s)v(s) ds, where A is a linear closed densely defined (possibly selfadjoint and/or positive definite) operator in H. Under suitable assumptions on the data we solve the inverse problem consisting of finding the kernel h from the extra data (measured data) of the...

Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations

The construction of fractional type of flatlet biorthogonal multiwavelet system is investigated in this paper. We apply this system as basis functions to solve the fractional differential and integro-differential equations. Biorthogonality and high vanishing moments of this system are two major properties which lead to the good approximation for the solutions of the given problems. Some test pr...

A numerical method for solving delay-fractional differential and integro-differential equations

‎This article develops a direct method for solving numerically‎ ‎multi delay-fractional differential and integro-differential equations‎. ‎A Galerkin method based on Legendre polynomials is implemented for solving‎ ‎linear and nonlinear of equations‎. ‎The main characteristic behind this approach is that it reduces such problems to those of‎ ‎solving a system of algebraic equations‎. ‎A conver...