Purpose This paper aims to study qualitative properties and approximate solutions of a thermostat dynamics system with three-point boundary value conditions involving nonsingular kernel operator which is called Atangana-Baleanu-Caputo (ABC) derivative for the first time. The results existence uniqueness solution such are investigated minimum hypotheses by employing Banach Schauder's fixed point...

The infection of human immunodeficiency virus (HIV) is a serious and potentially incurable infection. There no cure for HIV public health issue around the world. That why, it valuable to investigate intricate phenomena provide some control interventions lessen its economic burden. In this research work, dynamics via fractional calculus conceptualize viral has been formulated conceptualized. We ...

In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. Based on a transformation of variables and properties of the modified Riemann-liouville derivative, the fractional differential equation is transformed into a second-order ordinary different...

approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. in this paper with central difference approximation and newton cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. three...

This study aims to structure and evaluate a new COVID-19 model which predicts vaccination effect in the Kingdom of Saudi Arabia (KSA) under Atangana-Baleanu-Caputo (ABC) fractional derivatives. On statistical aspect, we analyze collected data fully vaccinated people from June 01, 2021, February 15, 2022. Then apply Eviews program find best for predicting against this pandemic, based on daily se...

In this paper, we consider some boundary value problems (BVP) for fractional order partial differential equations ‎(FPDE)‎ with non-local boundary conditions. The solutions of these problems are presented as series solutions analytically via modified Mittag-Leffler functions. These functions have been modified by authors such that their derivatives are invariant with respect to fractional deriv...