The boundary value problems (BVPs) have attracted the attention of many scientists from
both practical and theoretical points of view, for these problems have remarkable …

In this paper, we proposed a novel analytical technique for one-dimensional fractional heat
equations with time fractional derivatives subjected to the appropriate initial condition. This …

In this article, we develop an analytical method for solving fractional order partial differential
equations. Our method is the generalizations of homotopy perturbations Laplace transform …

In this article, we introduce a novel numerical scheme, the iterative reproducing kernel
method (IRKM), for providing numerical approximate solutions of a certain class of time …

This paper aims to present a novel optimization technique, the residual power series (RPS),
for handling certain classes of fuzzy fractional differential equations of order 1< γ≤ 2 under …

Abstract Two-dimensional First Boubaker polynomials (2D-FBPs) have been formulated and
developed as the set of basis for the expansion of bivariate functions. These polynomials are …

The new Sumudu transform iterative method is implemented to get the approximate
solutions of random component time-fractional partial differential equations with Caputo …

In this work, we present a sophisticated operating algorithm, the reproducing kernel Hilbert
space method, to investigate the approximate numerical solutions for a specific class of …

In this paper, Legendre wavelet collocation method is applied for numerical solutions of the
fractional-order differential equations subject to multi-point boundary conditions. The explicit …

In this study, the solutions of the random component time-fractional Klein-Gordon equation is
obtained as approximately or exactly. The initial condition of this Klein-Gordon equation is …