Results 121 to 130 of about 20,134 (284)

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

Explicit height estimates for CM curves of genus 2

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey, Samuel Le Fourn, Elisa Lorenzo García   +2 more
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

Time-Fractional Optimal Control of Initial Value Problems on Time Scales

, 2019
We investigate Optimal Control Problems (OCP) for fractional systems involving fractional-time derivatives on time scales. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense.
A Ahmadkhanlu, A Cabada, AB Malinowska, B Bayour, Benaoumeur Bayour, Benaoumeur Bayour, D Baleanu, D Baleanu, D Idczak, D Mozyrska, E Hernández, EG Bajlekova, ER Nwaeze, G Mophou, GM Bahaa, GM Mophou, GSF Frederico, GSF Frederico, I Podlubny, K Mekhalfi, L Bourdin, M Bohner, M Bohner, MC Caputo, Monika Dryl, Moulay Rchid Sidi Ammi, Moulay Rchid Sidi Ammi, N Benkhettou, N Benkhettou, N Benkhettou, N Benkhettou, N Özdemir, NRO Bastos, NRO Bastos, NRO Bastos, O Lavrova, OP Agrawal, OP Agrawal, R Almeida, RP Agarwal, RP Agarwal, S Abbas, T Abdeljawad, Thabet Abdeljawad   +43 more
core   +1 more source

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu   +2 more
wiley   +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

Smart Mosquito‐Nets: A Natural Approach to Controlling Malaria Using Larvicidal Plant Extracts and Internet of Things

Engineering Reports, Volume 7, Issue 9, September 2025.
Smart malaria control using larvicidal plant extracts and mosquito nets. With the model, sensor nodes can be installed to collect environmental data that enhances the breeding of mosquitoes and the timing of malaria‐treated mosquito nets. Data collected can be processed using artificial intelligence for decision‐ and policy‐making.
Juliet Onyinye Nwigwe, Kennedy Chinedu Okafor, Ogonna Christiana Ani, Titus Ifeanyi Chinebu, Okafor Ijeoma Peace, Omowunmi Mary Longe, Kelvin Anoh   +6 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

Complex non‐Markovian dynamics and the dual role of astrocytes in Alzheimer’s disease development and propagation

Quantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Alzheimer’s disease (AD) is a common neurodegenerative disorder nowadays. Amyloid‐beta (Aβ) and tau proteins are among the main contributors to the AD progression. In AD, Aβ proteins clump together to form plaques and disrupt cell functions.
Swadesh Pal, Roderick Melnik
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