In this paper, Haar wavelet collocation technique is developed for the solution of Volterra
and Volterra–Fredholm fractional integro-differential equations. The Haar technique reduces …

In this paper, we study the Adomian decomposition method (ADM for short) including its
iterative scheme and convergence analysis, which is a simple and effective technique in …

In literature, it is usually very difficult to investigate the analytical and numerical solutions of
fractional integro-differential equations (FIDEs). In the current work, the solutions to linear …

In this paper, we study a backward problem for an inhomogeneous fractional diffusion
equation in a bounded domain. By applying the properties of Mittag‐Leffler functions and the …

In this article, we study the existence and uniqueness of solution for a coupled system of
nonlinear implicit fractional anti‐periodic boundary value problem. Further, we investigate …

In this paper, we study the fractional integro-differential equation under the notion of
fuzziness. We consider the fuzzy fractional Volterra-Fredholm integro-differential equation in …

ABSTRACT A fuzzy Volterra-Fredholm integro-differential equation (FVFIDE) in a parametric
case is converted to its related crisp case. We use homotopy analysis method to find the …

This paper mainly focuses on the recent advances in the some approximated methods for
solving fuzzy Volterra-Fredholm integral equations, namely, Adomian decomposition …

The main aim of this article is the extension of Optimal Homotopy Asymptotic Method to the
system of fractional order integro-differential equations. The systems of fractional order …

In this article, a new modification of the Adomian Decomposition Method (ADM) that is called
the Laplace Discrete Adomian Decomposition Method (LDADM) is applied to non …