Results 121 to 130 of about 654,091 (289)

Comparison of Integer‐, Constant‐, and Variable‐Order Fractional Models of Competition for Student Population Using Caputo–Fabrizio Fractional Derivative With Policy Interventions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study develops constant‐order (CO) and variable‐order (VO) Caputo–Fabrizio (CF) fractional derivative (CFFD) models to extend the classical integer‐order framework for analyzing competition among public, private, and nonenrolled student populations under varying policy intervention intensities.
Kiprotich Ezra Bett   +3 more
wiley   +1 more source

On Hadamard and Fejér–Hadamard Inequalities for Fractional Integrals Involving Mittag‐Leffler‐Type Function of Arbitrary Order

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities.
Maged Bin-Saad   +4 more
wiley   +1 more source

Liouville type theorems involving fractional order systems

open access: yesAdvanced Nonlinear Studies
In this paper, let α be any real number between 0 and 2, we study the following semi-linear elliptic system involving the fractional Laplacian: (−Δ)α/2u(x)=f(u(x),v(x)),x∈Rn,(−Δ)α/2v(x)=g(u(x),v(x)),x∈Rn. $\begin{cases}{\left(-{\Delta}\right)}^{\alpha /2}
Liao Qiuping, Liu Zhao, Wang Xinyue
doaj   +1 more source

Understanding Measles Contagion: A Fractional‐Order Model With Stability and Sensitivity Insights

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose an epidemiological mathematical model described by a system of nonlinear differential equations of fractional order (FODEs). Specifically, we employ the Caputo fractional derivative (CFD). Our analysis verifies the existence of a solution.
Mahmoud H. DarAssi   +3 more
wiley   +1 more source

A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

open access: yesAdvances in Difference Equations, 2009
We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative.
Ravi P. Agarwal   +2 more
doaj   +1 more source

Exact Solitary Wave Solutions in Nonlinear Carbon Nanotube Composite Beams on Viscoelastic Foundations Under M‐Truncated Derivative

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed   +7 more
wiley   +1 more source

Existence of positive solutions for fractional differential equations with Riemann-Liouville left-hand and right-hand fractional derivatives

open access: yesElectronic Journal of Differential Equations, 2004
Combining properties of Riemann-Liouville fractional calculus and fixed point theorems, we obtain three existence results of one positive solution and of multiple positive solutions for initial value problems with fractional differential equations.
Shuqin Zhang
doaj  

Positive solutions for a class of singular boundary-value problems

open access: yesElectronic Journal of Differential Equations, 2006
This paper concerns the existence and multiplicity of positive solutions for Sturm-Liouville boundary-value problems. We use fixed point theorems and the sub-super solutions method to two solutions to the problem studied.
Dang Dinh Hai
doaj  

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