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 …

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 …

A Study on the Fractal‐Fractional Epidemic Probability‐Based Model of SARS‐CoV‐2 Virus along with the Taylor Operational Matrix Method for Its Caputo Version

S Rezapour, S Etemad, İ Avcı, H Ahmad… - Journal of Function …, 2022 - Wiley Online Library
SARS‐CoV‐2 is a strain of the large coronavirus family that has led to COVID‐19 disease.
The virus has been one of the deadliest known viruses in the world to date. Rapid mutations …

Contraction in rational forms in the framework of super metric spaces

E Karapinar, A Fulga - Mathematics, 2022 - mdpi.com
Mathematics | Free Full-Text | Contraction in Rational Forms in the Framework of Super
Metric Spaces Next Article in Journal A Mathematical Study of the (3+1)-D Variable …

[HTML][HTML] Remarks on fractal-fractional Malkus Waterwheel model with computational analysis

L Guran, EK Akgül, A Akgül, MF Bota - Symmetry, 2022 - mdpi.com
In this paper, we investigate the fractal-fractional Malkus Waterwheel model in detail. We
discuss the existence and uniqueness of a solution of the fractal-fractional model using the …

On the iterative multivalued⊥-preserving mappings and an application to fractional differential equation

M Nazam, S Chandok, A Hussain, HHA Sulmi - Axioms, 2023 - mdpi.com
In this paper, we introduce orthogonal multivalued contractions, which are based on the
recently introduced notion of orthogonality in the metric spaces. We construct numerous …

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 …

Study of (k, Θ)-Hilfer fractional differential and inclusion systems on the glucose graph

L Zhang, X Liu, G Wang - Heliyon, 2024 - cell.com
This article combines\(k, Θ\)-Hilfer fractional calculus with glucose molecular graph, defines
fractional differential and inclusion systems on each edge of a glucose molecular graph by …

Fixed Point Method for Nonlinear Fractional Differential Equations with Integral Boundary Conditions on Tetramethyl-Butane Graph

JJ Nieto, A Yadav, T Mathur, S Agarwal - Symmetry, 2024 - mdpi.com
Until now, little investigation has been done to examine the existence and uniqueness of
solutions for fractional differential equations on star graphs. In the published articles on the …

Some New Jensen–Mercer Type Integral Inequalities via Fractional Operators

B Bayraktar, P Kórus, JE Nápoles Valdés - Axioms, 2023 - mdpi.com
In this study, we present new variants of the Hermite–Hadamard inequality via non-
conformable fractional integrals. These inequalities are proven for convex functions and …