Results 101 to 110 of about 9,528 (243)

Stability of the nonlinear fractional differential equations with the right-sided Riemann-Liouville fractional derivative

, 2017
In this paper, using the weighted space method and a fixed point theorem, we investigate the Hyers-Ulam-Rassias stability of the nonlinear fractional differential equations with the right-sided Riemann-Liouville derivative on the continuous function ...
Chun Wang, T. Xu
semanticscholar   +1 more source

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

A single quenching point for a fractional heat equation based on the Riemann-Liouville fractional derivative with a nonlinear concentrate source

, 2017
This paper aims to study the quenching problem in a fractional heat equation with the Riemann-Liouville fractional derivative. The existence and uniqueness of a solution for the problem are obtained by transforming the problem to an equivalent integral ...
Wannika Sawangtong, P. Sawangtong
semanticscholar   +1 more source

The Impact of Memory Effects on Lymphatic Filariasis Transmission Using Incidence Data From Ghana

Engineering Reports, Volume 7, Issue 7, July 2025.
Modeling Lymphatic Filariasis by incorporating disease awareness through fractional derivative operators. ABSTRACT Lymphatic filariasis is a neglected tropical disease caused by a parasitic worm transmitted to humans by a mosquito bite. In this study, a mathematical model is developed using the Caputo fractional operator.
Fredrick A. Wireko, Rebecca Awerigiya, Isaac K. Adu, Joshua N. Martey, Bernard O. Bainson, Joshua Kiddy K. Asamoah   +5 more
wiley   +1 more source

On Cauchy-type problems with weighted R-L fractional derivatives of a function with respect to another function and comparison theorems

AIMS Mathematics
The main aim of this paper is to study the Cauchy problem for nonlinear differential equations of fractional order containing the weighted Riemann-Liouville fractional derivative of a function with respect to another function.
Iman Ben Othmane, Lamine Nisse, Thabet Abdeljawad   +2 more
doaj   +1 more source

Nonlinear Caputo Fractional Derivative with Nonlocal Riemann-Liouville Fractional Integral Condition Via Fixed Point Theorems

Symmetry, 2019
In this paper, we study and investigate an interesting Caputo fractional derivative and Riemann–Liouville integral boundary value problem (BVP): c D 0 + q u ( t ) = f ( t , u ( t ) ) , t ∈ [ 0 , T ] , u ( k ) ( 0 ) = ξ k , u ( T ) = ∑ i = 1 m β i R L I 0
Piyachat Borisut, Poom Kumam, Idris Ahmed, K. Sitthithakerngkiet   +3 more
semanticscholar   +1 more source

Solar Energy Storage Optimization Using Fractional Derivative Simulations of Maxwell Hybrid Nanofluid Flow: Entropy Generation Analysis

Energy Science &Engineering, Volume 13, Issue 6, Page 2856-2873, June 2025.
ABSTRACT This attempt examines the heat transfer enhancement from unsteady bioconvective Maxwell nanofluid flow under the incidence of solar radiation influenced by viscous dissipation and chemical reaction through a porous medium. The nanofluid contains silver and titanium alloy hybrid nanoparticles with gyrotactic micro‐organisms in ethylene glycol ...
Bhupendra K. Sharma, Anup Kumar, Madhu Sharma, Bandar Almohsen, Nehad Ali Shah   +4 more
wiley   +1 more source

A new fractional analytical approach via a modified Riemann–Liouville derivative

Applied Mathematics Letters, 2012
AbstractThis work suggests a new analytical technique called the fractional homotopy perturbation method (FHPM) for solving fractional differential equations of any fractional order. This method is based on He’s homotopy perturbation method and the modified Riemann–Liouville derivative.
Yasir, Khan, Khan, Yasir, Wu, Qingbiao, Faraz, Naeem, Yildirim, A., Madani, M.   +5 more
openaire   +2 more sources

Blowing‐Up Solution of a System of Fractional Differential Equations With Variable Order

Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9726-9743, June 2025.
ABSTRACT We investigated the necessary condition for blowing‐up solutions in finite time of the system u′(t)+(1)D0|tα(t)(u(t)−u0)=|v(t)|q,t>0,q>1,v′(t)+(1)D0|tβ(t)(v(t)−v0)=|u(t)|p,t>0,p>1$$ {u}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\alpha (t)}\left(u(t)-{u}_0\right)={\left|v(t)\right|}^q,\kern0.3em t>0,q>1,{v}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\beta ...
Muhammad Rizki Fadillah, Mokhtar Kirane
wiley   +1 more source

Some New Gronwall-Bellman-Type Inequalities Based on the Modified Riemann-Liouville Fractional Derivative

Journal of Applied Mathematics, 2013
By use of the properties of the modified Riemann-Liouville fractional derivative, some new Gronwall-Bellman-type inequalities are researched. First, we derive some new explicit bounds for the unknown functions lying in these inequalities, which are of ...
B. Zheng
semanticscholar   +1 more source