Jessada Tariboon
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View article: Multiplicatively Trigonometric Convex Functions for Hermite–Hadamard-Type Inequalities
Multiplicatively Trigonometric Convex Functions for Hermite–Hadamard-Type Inequalities Open
A novel category of convex functions, termed multiplicatively trigonometric convex functions, are introduced in this paper. We explore their algebraic characteristics and establish connections between such functions and other forms of conv…
View article: New Approach of Fractional Integral Inequalities Involving Interval-Valued Mappings with Applications to Matrix Analysis
New Approach of Fractional Integral Inequalities Involving Interval-Valued Mappings with Applications to Matrix Analysis Open
Convexity via fractional calculus is a widely accepted concept that has attracted considerable interest in he field of applied mathematics. The aim of this paper is to develop new types of fractional Hermite-Hadamard-Mercer inequalities re…
View article: Hilfer fractional derivatives and their role in Wirtinger-type inequalities with applications
Hilfer fractional derivatives and their role in Wirtinger-type inequalities with applications Open
In this paper, we explore novel Wirtinger-type inequalities for the Hilfer fractional derivatives. By formulating suitable integral identities and employing Hölder’s inequality, we propose a class of generalized Hilfer fractional Wirtinger…
View article: Numerical and Graphical Validations of Hermite-Hadamard, Fejér and Pachpatte-Type Integral Inequalities Pertaining to Interval Analysis
Numerical and Graphical Validations of Hermite-Hadamard, Fejér and Pachpatte-Type Integral Inequalities Pertaining to Interval Analysis Open
Fractional inequalities and interval analysis are interdependent mathematical fields that have received much interest in recent years. Both concepts have a lot of applications in the field of applied sciences such as physics, signal proces…
View article: Mathematical modeling of the effect of early detection in breast cancer treatment
Mathematical modeling of the effect of early detection in breast cancer treatment Open
Introduction Early detection is a cornerstone of cancer control, yet its quantitative influence on tumor–immune interactions remains underexplored in mathematical oncology. Methods We formulated a nonlinear tumor–immune interaction model c…
View article: Coupled System of (k, ψ)-Hilfer and (k, ψ)-Caputo Sequential Fractional Differential Equations with Non-Separated Boundary Conditions
Coupled System of (k, ψ)-Hilfer and (k, ψ)-Caputo Sequential Fractional Differential Equations with Non-Separated Boundary Conditions Open
This paper is concerned with the existence and uniqueness of solutions for a coupled system of (k,ψ)-Hilfer and (k,ψ)-Caputo sequential fractional differential equations with non-separated boundary conditions. We make use of the Banach con…
View article: A New Trend of Fractional Inequalities for Differentiable Monotone Convexities Through Generalized Operators with Applications
A New Trend of Fractional Inequalities for Differentiable Monotone Convexities Through Generalized Operators with Applications Open
This paper's main goal is to describe the new fractional operators for monotone differentiable function equipped with generalized Mittag-Leffler functions as its kernel, and develop the fractional inequalities for a new family of continuou…
View article: Some new variants of fractional Hermite-Hadamard and Pachpatte-type integral inequalities involving Raina's and Mittag-Leffer functions with applications
Some new variants of fractional Hermite-Hadamard and Pachpatte-type integral inequalities involving Raina's and Mittag-Leffer functions with applications Open
View article: Existence and Uniqueness Analysis for (k, ψ)-Hilfer and (k, ψ)-Caputo Sequential Fractional Differential Equations and Inclusions with Non-Separated Boundary Conditions
Existence and Uniqueness Analysis for (k, ψ)-Hilfer and (k, ψ)-Caputo Sequential Fractional Differential Equations and Inclusions with Non-Separated Boundary Conditions Open
This paper investigates the existence and uniqueness of solutions to a class of sequential fractional differential equations and inclusions involving the (k,ψ)-Hilfer and (k,ψ)-Caputo derivatives under non-separated boundary conditions. By…
View article: Nonlocal Nonlinear Fractional-Order Sequential Hilfer–Caputo Multivalued Boundary-Value Problems
Nonlocal Nonlinear Fractional-Order Sequential Hilfer–Caputo Multivalued Boundary-Value Problems Open
This paper is concerned with the investigation of a nonlocal sequential multistrip boundary-value problem for fractional differential inclusions, involving (k1,ψ1)-Hilfer and (k2,ψ2)-Caputo fractional derivative operators, and (k2,ψ2)- Rie…
View article: On the Existence of (p,q)-Solutions for the Post-Quantum Langevin Equation: A Fixed-Point-Based Approach
On the Existence of (p,q)-Solutions for the Post-Quantum Langevin Equation: A Fixed-Point-Based Approach Open
The two-parameter (p,q)-operators are a new family of operators in calculus that have shown their capabilities in modeling various systems in recent years. Following this path, in this paper, we present a new construction of the Langevin e…
View article: Advances in Fractional Lyapunov-Type Inequalities: A Comprehensive Review
Advances in Fractional Lyapunov-Type Inequalities: A Comprehensive Review Open
In this survey, we have included the recent results on Lyapunov-type inequalities for differential equations of fractional order associated with Dirichlet, nonlocal, multi-point, anti-periodic, and discrete boundary conditions. Our results…
View article: Controlling the Spread of Malaria-Cholera Co-infection with Effective Intervention Strategy
Controlling the Spread of Malaria-Cholera Co-infection with Effective Intervention Strategy Open
In this paper, we consider a pursuit differential game problem described by an infinite system of binary differential equations in the Hilbert space \(l_{2}\). The control parameters of theplayers are subject to geometric constraints. The …
View article: Dynamics of the Diphtheria Epidemic in Nigeria: Insights from the Kano State Outbreak Data
Dynamics of the Diphtheria Epidemic in Nigeria: Insights from the Kano State Outbreak Data Open
Diphtheria is a severely infectious and deadly bacterial disease with Corynebacterium diphtheriae as the causative agent. Since the COVID-19 pandemic, contagious diseases such as diphtheria have re-emerged due to disruptions in routine chi…
View article: Generalized fractional Hermite-Hadamard-type inequalities for interval-valued s-convex functions
Generalized fractional Hermite-Hadamard-type inequalities for interval-valued s-convex functions Open
Based on the generalized fractional integrals, we develop some Hermite-Hadamard-type inequalities for interval-valued s-convex functions. Further, we verify our results with graphical representation and concrete examples. Our research not …
View article: Optimal Control of Interventions for Lymphatic Filariasis Disease Incorporating Resistant Strains
Optimal Control of Interventions for Lymphatic Filariasis Disease Incorporating Resistant Strains Open
A deterministic model for controlling the neglected tropical filariasis disease known as elephantiasis, caused by a filarial worm, is developed. The model incorporates drug resistance in human and insecticide-resistant vector populations. …
View article: Analysis of a Mathematical Model of Zoonotic Visceral Leishmaniasis (ZVL) Disease
Analysis of a Mathematical Model of Zoonotic Visceral Leishmaniasis (ZVL) Disease Open
This research paper attempts to describe the transmission dynamic of zoonotic visceral leishmaniasis with the aid of a mathematical model by considering the asymptomatic stages in humans and animals. The disease is endemic in several count…
View article: On the Generalized (p,q)-ϕ-Calculus with Respect to Another Function
On the Generalized (p,q)-ϕ-Calculus with Respect to Another Function Open
In the present paper, we generalized some of the operators defined in (p,q)-calculus with respect to another function. More precisely, the generalized (p,q)-ϕ-derivatives and (p,q)-ϕ-integrals were introduced with respect to the strictly i…
View article: On the Cauchy Problem for Nonlinear Fractional Systems with Lipschitzian Matrices Under the Generalized Metric Spaces
On the Cauchy Problem for Nonlinear Fractional Systems with Lipschitzian Matrices Under the Generalized Metric Spaces Open
This research paper study the existence, uniqueness and Ulam–Hyers stability of the solutions of a certain system of thegeneralized Caputo fractional differential equations in the context of the generalized metric spaces. The existence and…
View article: Modern Calculus
Modern Calculus Open
View article: Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type
Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type Open
We aim to investigate the stability property for the certain linear and nonlinear fractional q-difference equations in the Ulam–Hyers and Ulam–Hyers–Rassias sense. To achieve this goal, we prove that three types of the linear q-difference …
View article: Fractional Sequential Coupled Systems of Hilfer and Caputo Integro-Differential Equations with Non-Separated Boundary Conditions
Fractional Sequential Coupled Systems of Hilfer and Caputo Integro-Differential Equations with Non-Separated Boundary Conditions Open
In studying boundary value problems and coupled systems of fractional order in (1,2], involving Hilfer fractional derivative operators, a zero initial condition is necessary. The consequence of this fact is that boundary value problems and…
View article: Study of Quantum Difference Coupled Impulsive System with Respect to Another Function
Study of Quantum Difference Coupled Impulsive System with Respect to Another Function Open
In this paper, we study a quantum difference coupled impulsive system with respect to another function. Some quantum derivative and integral asymmetric graphs with respect to another function are shown to illustrate the behavior of paramet…
View article: Right Quantum Calculus on Finite Intervals with Respect to Another Function and Quantum Hermite–Hadamard Inequalities
Right Quantum Calculus on Finite Intervals with Respect to Another Function and Quantum Hermite–Hadamard Inequalities Open
In this paper, we study right quantum calculus on finite intervals with respect to another function. We present new definitions on the right quantum derivative and right quantum integral of a function with respect to another function and s…
View article: Existence and Sensitivity Analysis of a Caputo Fractional-Order Diphtheria Epidemic Model
Existence and Sensitivity Analysis of a Caputo Fractional-Order Diphtheria Epidemic Model Open
Diphtheria, a potentially life-threatening infectious disease, is primarily caused by the bacterium Corynebacterium diphtheriae. This pathogen induces a range of severe symptoms, including respiratory distress, cardiac arrhythmias, and, in…
View article: A mathematical and sensitivity analysis of an HIV/AIDS infection model
A mathematical and sensitivity analysis of an HIV/AIDS infection model Open
This study presents a mathematical model to investigate the dynamics of Human Immunodeficiency Virus infection and Acquired Immunodeficiency Syndrome (HIV/AIDS) transmission. Employing mathematical analysis, non-negativity, boundedness, th…
View article: Mixed Hilfer and Caputo Fractional Riemann–Stieltjes Integro-Differential Equations with Non-Separated Boundary Conditions
Mixed Hilfer and Caputo Fractional Riemann–Stieltjes Integro-Differential Equations with Non-Separated Boundary Conditions Open
In this paper, we investigate a sequential fractional boundary value problem which contains a combination of Hilfer and Caputo fractional derivative operators and non-separated boundary conditions. We establish the existence of a unique so…
View article: On Solutions of Two Post-Quantum Fractional Generalized Sequential Navier Problems: An Application on the Elastic Beam
On Solutions of Two Post-Quantum Fractional Generalized Sequential Navier Problems: An Application on the Elastic Beam Open
Fractional calculus provides some fractional operators for us to model different real-world phenomena mathematically. One of these important study fields is the mathematical model of the elastic beam changes. More precisely, in this paper,…
View article: Study on a Nonlocal Fractional Coupled System Involving (k,ψ)-Hilfer Derivatives and (k,ψ)-Riemann–Liouville Integral Operators
Study on a Nonlocal Fractional Coupled System Involving (k,ψ)-Hilfer Derivatives and (k,ψ)-Riemann–Liouville Integral Operators Open
This paper deals with a nonlocal fractional coupled system of (k,ψ)-Hilfer fractional differential equations, which involve, in boundary conditions, (k,ψ)-Hilfer fractional derivatives and (k,ψ)-Riemann–Liouville fractional integrals. The …
View article: Hybrid System of Proportional Hilfer-Type Fractional Differential Equations and Nonlocal Conditions with Respect to Another Function
Hybrid System of Proportional Hilfer-Type Fractional Differential Equations and Nonlocal Conditions with Respect to Another Function Open
In this paper, a new class of coupled hybrid systems of proportional sequential ψ-Hilfer fractional differential equations, subjected to nonlocal boundary conditions were investigated. Based on a generalization of the Krasnosel’skii˘’s fix…