We investigate the Hilfer-type operator within the topic of tempered fractional calculus with
respect to functions. This operator, the tempered Ψ-Hilfer derivative, is defined for the first …

This paper studies two efficient numerical methods for the generalized tempered
integrodifferential equation with respect to another function. The proposed methods …

In order to describe the mechanical behaviors of viscoelastic materials that couple memory
effects and time-varying viscosity properties toggled between thixotropy and rheopexy, this …

In this paper, we consider the existence of positive solutions for a singular tempered
fractional equation with ap-Laplacian operator. By constructing a pair of suitable upper and …

We investigate the notion of finite time stability for tempered fractional systems (TFSs) with
time delays and variable coefficients. Then, we examine some sufficient conditions that …

In this article, we investigate the iterative properties of positive solutions for a tempered
fractional equation under the case where the boundary conditions and nonlinearity all …

An initial value problem for nonlinear fractional differential equations with a tempered
Caputo fractional derivative of variable order with respect to another function is studied. The …

Although many applications of fractional calculus have been reported in literature, modeling
the physical world using this technique is still a challenge. One of the main difficulties in …

In this paper, the nonlinear version of the Henry–Gronwall integral inequality with the
tempered Ψ-Hilfer fractional integral is proved. The particular cases, including the linear one …

In this paper, we study the existence of even solution for a class of Schrödinger equations
with Liouville–Weyl fractional derivatives x D∞ α (-∞ D x α u)= λ g (u) in R, u∈ I-α (R) …