This study is devoted to solve the Chandrasekhar integral equation that it used for modeling problems in theory of radiative transfer a plane-parallel atmosphere, and others research areas like kinetic gases, neutron transport, traffic model, queuing among others. First all, we transform into nonlinear Hammerstein-type with corresponding Nemystkii operator proper nonseparable kernel. Them, appr...

‎the subject of this paper is the solution of the fredholm integral equation with toeplitz, hankel and the toeplitz plus hankel kernel. the mean value theorem for integrals is applied and then extended for solving high dimensional problems and finally, some example and graph of error function are presented to show the ability and simplicity of the ‎method.

The purpose of this paper is to study the fuzzy fractional differentialequations. We prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. Fuzzy derivative is considerin the Goetschel-Voxman sense and fractional derivative is consider in theRiemann Liouville sense. At the end, we...

In this paper a design of an observer for Lipschitz nonlinear systems in the presence of time-varying delay in outputs measurements is proposed. The structure of the proposed observer is based on the presence of a proportional integral term which permits the compensation of delay in the measurements outputs. The observer gain is a function of the maximum bound of the delay, the parameters of th...

This paper is concerned with the robustness of the predictor feedback control of linear systems with input delays. By applying certain equivalent transformations on the characteristic equation associated with the closed-loop system, we first transform the robustness problem of a predictor feedback control system into the stability problem of a neutral time-delay system containing an integral op...