This paper mainly presents numerical solutions to an initial-boundary value problem of the
time-fractional Klein-Gordon equations. We developed a numerical scheme with the help of …

This study is concerned with finding numerical solutions of nonlinear delay differential
equations involving extended Mittag-Leffler fractional derivatives of the Caputo-type. The …

Recently, a new concept of fractional differentiation with non-singular generalized cardinal
sine kernel was proposed. In this paper, we considered a framework for linear time-fractional …

In this paper, we developed an efficient Adams-type predictor–corrector (PC) approach for
the numerical solution of fractional differential equations (FDEs) with a power law kernel …

In this article, a considerably efficient predictor-corrector method (PCM) for solving Atangana–
Baleanu Caputo (ABC) fractional differential equations (FDEs) is introduced. First, we …

In this paper, we propose a numerical scheme of the predictor–corrector type for solving
nonlinear fractional initial value problems; the chosen fractional derivative is called the …

Time-fractional reaction-diffusion (TFRD) equation is an important fractional parabolic
equation, and the research of its numerical solution has scientific significance and …

In this paper, we construct a high order numerical scheme for Caputo nonlinear fractional
ordinary differential equations. Firstly, we use the piecewise Quadratic Lagrange …