Fractional calculus dates its inception to a correspondence between Leibniz and L'Hopital in
1695, when Leibniz described “paradoxes” and predicted that “one day useful …

In this article, we consider integro-differential equations involving the recently explored
Atangana–Baleanu fractional derivatives which contain the generalized Mittag-Leffler …

Our fundamental purpose in the present manuscript is to explore existence and uniqueness
criteria for a new coupled Caputo conformable system of pantograph problems in which for …

In this article, we study different types of fractional-order logistic models in the frame of
Caputo type fractional operators generated by conformable derivatives (Caputo CFDs). We …

In this paper, it has been discussed the fractional model of Brinkman type fluid (BTF) holding
hybrid nanoparticles. Titanium dioxide (T i O 2) and silver (Ag) nanoparticles were liquefied …

In this article, we define a new fractional technique which is known as generalized
proportional fractional (GPF) integral in the sense of another function Ψ. The authors prove …

Differential Equations are very important tools in Mathematical Analysis. They are widely
found in mathematics itself and in its applications to statistics, computing, electrical circuit …

The investigation of the proposed methods is effective and convenient for solving the
integrodifferential and difference equations. In this note, we introduce the generalized K …

In this paper, a discrete fractional Susceptible-Infected-Treatment-Recovered-Susceptible
(SITRS) model for simulating the coronavirus (COVID-19) pandemic is presented. The …

In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the
sense of another increasing, positive, monotone, and measurable function Ψ. We determine …