In this paper, a quantitative analysis is performed to investigate the convective flow of
Maxwell fluid along with an erect heated plate via Prabhakar-like energy transport. The …

It is known that at least ten equivalent definitions of the fractional Laplacian exist in an
unbounded domain. Here we derive a further equivalent definition that is based on the …

In this paper, we mainly study the averaging principle for a class of Hifer–Katugampola
fractional stochastic differential equations driven by standard Brownian motion. Firstly, we …

The main object of this paper is to investigate the spectral collocation method for three new
models of space fractional Fisher equations based on the exponential decay kernel, for …

This paper is devoted to investigating a numerical scheme for solving the Caputo–
Hadamard uncertain fractional differential equations (UFDEs) arising from nonlinear …

This work investigates the solvability of the generalized Hilfer fractional inclusion associated
with the solution set of a controlled system of minty type–fuzzy mixed quasi-hemivariational …

Anomalous diffusion of particles has been described by the time-fractional reaction–diffusion
equation. A hybrid formulation of numerical technique is proposed to solve the time …

Stability theory has significant applications in technology, especially in control systems. On
the other hand, the newly-defined generalized mean-square stochas-tic fractional (GMSF) …

In this paper, we propose a class of variable coefficients fractional ordinary differential
equations (FODEs). Using Mellin transform (MT), we have transformed this class into a …

In this paper, we investigate the positive solutions for Hilfer fractional differential equation
boundary value problems at resonance. First, we give the expression of the solution with …