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 …

A nonlocal boundary value problem for a couple of two scalar nonlinear differential
equations with several generalized proportional Caputo fractional derivatives and a delay is …

In this paper, we study a coupled system of nonlinear proportional fractional differential
equations of the Hilfer-type with a new kind of multi-point and integro-multi-strip boundary …

In this paper, the authors introduced a novel definition based on Hilfer fractional derivative,
which name $ q $-Hilfer fractional derivative of variable order. And the uniqueness of …

In this paper, we propose a generalized Gronwall inequality in the context of the ψ-Hilfer
proportional fractional derivative. Using Picard's successive approximation and the definition …

In this paper, we establish existence and uniqueness results for a new class of boundary
value problems involving the ψ-Hilfer generalized proportional fractional derivative operator …

In this paper, we introduce and study a new class of boundary value problems, consisting of
a mixed-type ψ 1-Hilfer and ψ 2-Caputo fractional order differential equation supplemented …

The problem of boundary values for implicit differential equations with nonlinear fractions
involving the variable order and the Riemann–Liouville derivative is examined in this article …

Society must understand, model, and forecast infectious disease transmission patterns in
order to prevent pandemics. Mathematical models and computer technology may help us …

In this paper, we discuss the existence and uniqueness of solutions for boundary value
problems for Hilfer generalized proportional fractional differential equations with multi-point …