In this paper, a new interval version of Runge-Kutta methods is proposed for time discretization and solving of optimal control problems (OCPs) in the presence of uncertain parameters. A new technique for interval arithmetic ...

‎‎‎‎In this paper‎, ‎an expansion method based on orthonormal polynomials is presented to find the numerical solution of partial fractional Fredholm integro-differential equations (PFFIDEs)‎. ‎A PFFIDE is converted to a ...

In this paper, a numerical method for solving a class of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order is presented. The method is based upon Bernoulli wavelets approximations. The ...

In this paper, we consider a $D$-dimensional fractional Schr"odinger equation with a Coulomb potential. By using the associated Laguerre and Jacobi equations, we obtain the wave function and energy spectrum and this then ...

In this work, we present an improvement of the spectral meshless radial point interpolation (SMRPI) method to uncover a simulation behaviour of the population dynamic model which mathematically is the nonlinear ...

In this work we discuss the existence of solutions of nonlinear fractional differential equations. By using the topological degree theory, some results on the existence of solutions are obtained. Our analysis relies on the ...

In this paper, mixed spectral method is applied to solve the fractional fourth order partial integro-differential equations together with weak singularity. Eigenfunctions of the fourth order self-adjoint positive-definite ...

In this article, Modified Hermite wavelets based numerical method is developed for the solution of singular initial and boundary value problems. It consists of reducing the differential equations with the associated initial ...

This paper consists of two folds. At first, we deal with the stability analysis of a linear system of delay differential equations. It is shown that the direct and cluster treatment methods are not applicable if there are ...