In this article, we have investigated the fractional-order Burgers equation via Natural
decomposition method with nonsingular kernel derivatives. The two types of fractional …

In this paper, a numerical method is presented to obtain and analyze the behavior of
numerical solutions of distributed order fractional differential equations of the general form in …

In this paper, we apply the Bernstein collocation method to construct the solution set of the
Sylvester matrix differential equation (Sy-MDE) which involves the Lyapunov matrix …

This article provides an effective technique to solve nonlinear Stratonovich Volterra integral
equations (NSVIE). These equations can be reduced to a system of nonlinear algebraic …

We are involved in this study with hybrid functions consisting of Taylor polynomials and
block-pulse functions and use them as basis functions to achieve the numerical solution of …

This paper aims to develop a novel numerical approach on the basis of B‐spline collocation
method to approximate the solution of one‐dimensional and two‐dimensional nonlinear …

The inverse problem of identifying the diffusion coefficient in the one‐dimensional parabolic
heat equation is studied. We assume that the information of Dirichlet boundary conditions …

In this article, we discuss a method for finding an approximate solution of a class of two-
dimensional linear Volterra weakly partial integro-differential equations. The operational …

In this work, we study an inverse problem with unknown boundary conditions in the one-
dimensional Rosenau equation. It is assumed that we have extra information such as some …

Owing to increasing applications of the fractional relaxation–oscillation equations across
various scientific endeavours, a considerable amount of attention has been paid for solving …