Tripled fixed points and existence study to a tripled impulsive fractional differential system via measures of noncompactness

S Etemad, MM Matar, MA Ragusa, S Rezapour - Mathematics, 2021 - mdpi.com
In this paper, a tripled fractional differential system is introduced as three associated
impulsive equations. The existence investigation of the solution is based on contraction …

Mathematical analysis of an extended SEIR model of COVID-19 using the ABC-fractional operator

W Sintunavarat, A Turab - Mathematics and Computers in Simulation, 2022 - Elsevier
This paper aims to suggest a time-fractional SPEPIPAIPSPHPRP model of the COVID-19
pandemic disease in the sense of the Atangana–Baleanu–Caputo operator. The proposed …

A theoretical analysis of a fractional multi-dimensional system of boundary value problems on the methylpropane graph via fixed point technique

S Rezapour, CT Deressa, A Hussain, S Etemad… - Mathematics, 2022 - mdpi.com
Few studies have investigated the existence and uniqueness of solutions for fractional
differential equations on star graphs until now. The published papers on the topic are based …

A unified fixed point approach to study the existence of solutions for a class of fractional boundary value problems arising in a chemical graph theory

W Sintunavarat, A Turab - Plos one, 2022 - journals.plos.org
A theory of chemical graphs is a part of mathematical chemistry concerned with the effects of
connectedness in chemical graphs. Several researchers have studied the solutions of …

Fractional-order interval observer for multiagent nonlinear systems

H Zhang, J Huang, S He - Fractal and Fractional, 2022 - mdpi.com
A framework of distributed interval observers is introduced for fractional-order multiagent
systems in the presence of nonlinearity. First, a frame was designed to construct the upper …

Study of fractional differential equations emerging in the theory of chemical graphs: A robust approach

A Turab, N Rosli - Mathematics, 2022 - mdpi.com
The study of the interconnections between chemical systems is known as chemical graph
theory. Through the use of star graphs, a limited group of researchers has examined the …

On the boundary value problem of nonlinear fractional integro-differential equations

C Li, R Saadati, R Srivastava, J Beaudin - Mathematics, 2022 - mdpi.com
Using Banach's contractive principle and the Laray–Schauder fixed point theorem, we study
the uniqueness and existence of solutions to a nonlinear two-term fractional integro …

On Novel Mathematical Modeling for Studying a Class of Nonlinear Caputo-Type Fractional-Order Boundary Value Problems Emerging in CGT

A Turab, W Sintunavarat, JS Ro - Fractal and Fractional, 2023 - mdpi.com
Chemical graph theory (CGT) is a field of mathematical science that applies classical graph
theory to chemical structures and processes. Chemical graphs are the principal data format …

Stability of Nonlinear Fractional Delay Differential Equations

DA Refaai, MMA El-Sheikh, GAF Ismail, M Zakarya… - Symmetry, 2022 - mdpi.com
This article discusses several forms of Ulam stability of nonlinear fractional delay differential
equations. Our investigation is based on a generalised Gronwall's inequality and Picard …

Solving a System of Caputo Fractional-Order Volterra Integro-Differential Equations with Variable Coefficients Based on the Finite Difference Approximation via the …

SS Ahmed, SA Hamasalih - Symmetry, 2023 - mdpi.com
This paper focuses on computational technique to solve linear systems of Volterra integro-
fractional differential equations (LSVIFDEs) in the Caputo sense for all fractional order lins in …